<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2021 Workiva-->
<!--r:c74ceac5-9fb7-461e-8ea1-5ee419273967,g:501cbecb-4079-45ea-be59-8857fbf35785-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.compasstrust.com/role/CoverPage" xlink:type="simple" xlink:href="codi-20210331.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_1caa0217-845f-4b2d-a1d5-0c47d1b5d728" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_af71e0bb-85d0-4e0d-9efd-d4cb37efcf31" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentInformationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_1caa0217-845f-4b2d-a1d5-0c47d1b5d728" xlink:to="loc_dei_DocumentInformationTable_af71e0bb-85d0-4e0d-9efd-d4cb37efcf31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_499065aa-d717-43e5-b078-ca2af9b8f943" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_af71e0bb-85d0-4e0d-9efd-d4cb37efcf31" xlink:to="loc_us-gaap_StatementClassOfStockAxis_499065aa-d717-43e5-b078-ca2af9b8f943" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_0eb28342-d00b-4495-97e2-a86f33ab7689" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_499065aa-d717-43e5-b078-ca2af9b8f943" xlink:to="loc_us-gaap_ClassOfStockDomain_0eb28342-d00b-4495-97e2-a86f33ab7689" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SharesRepresentingBeneficialInterestsInCompassDiversifiedHoldingsMember_5ecd3c2f-bcfb-44cc-8b75-abd1eb0ef2c8" xlink:href="codi-20210331.xsd#codi_SharesRepresentingBeneficialInterestsInCompassDiversifiedHoldingsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0eb28342-d00b-4495-97e2-a86f33ab7689" xlink:to="loc_codi_SharesRepresentingBeneficialInterestsInCompassDiversifiedHoldingsMember_5ecd3c2f-bcfb-44cc-8b75-abd1eb0ef2c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SeriesAPreferredSharesRepresentingSeriesATrustPreferredInterestInCompassDiversifiedHoldingsMember_bd5e7b77-9a47-403f-95a6-3670ed8db827" xlink:href="codi-20210331.xsd#codi_SeriesAPreferredSharesRepresentingSeriesATrustPreferredInterestInCompassDiversifiedHoldingsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0eb28342-d00b-4495-97e2-a86f33ab7689" xlink:to="loc_codi_SeriesAPreferredSharesRepresentingSeriesATrustPreferredInterestInCompassDiversifiedHoldingsMember_bd5e7b77-9a47-403f-95a6-3670ed8db827" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SeriesBPreferredSharesRepresentingSeriesBTrustPreferredInterestInCompassDiversifiedHoldingsMember_38311c05-dc9b-4266-bb1d-4a3e53875332" xlink:href="codi-20210331.xsd#codi_SeriesBPreferredSharesRepresentingSeriesBTrustPreferredInterestInCompassDiversifiedHoldingsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0eb28342-d00b-4495-97e2-a86f33ab7689" xlink:to="loc_codi_SeriesBPreferredSharesRepresentingSeriesBTrustPreferredInterestInCompassDiversifiedHoldingsMember_38311c05-dc9b-4266-bb1d-4a3e53875332" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SeriesCPreferredSharesRepresentingSeriesCTrustPreferredInterestInCompassDiversifiedHoldingsMemberDomain_32493c13-5941-4ae3-94e7-397e45612c10" xlink:href="codi-20210331.xsd#codi_SeriesCPreferredSharesRepresentingSeriesCTrustPreferredInterestInCompassDiversifiedHoldingsMemberDomain"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0eb28342-d00b-4495-97e2-a86f33ab7689" xlink:to="loc_codi_SeriesCPreferredSharesRepresentingSeriesCTrustPreferredInterestInCompassDiversifiedHoldingsMemberDomain_32493c13-5941-4ae3-94e7-397e45612c10" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_af71e0bb-85d0-4e0d-9efd-d4cb37efcf31" xlink:to="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_508535d4-c500-4908-81b3-f6c8f241dc1a" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_DocumentType_508535d4-c500-4908-81b3-f6c8f241dc1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentQuarterlyReport_60ad01c9-19cb-464d-9f79-f3f9cf3ad3c5" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentQuarterlyReport"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_DocumentQuarterlyReport_60ad01c9-19cb-464d-9f79-f3f9cf3ad3c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_4fc32539-1921-424b-82ad-319d245ca803" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_DocumentPeriodEndDate_4fc32539-1921-424b-82ad-319d245ca803" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_6be1579e-bb5a-484c-9e3d-9c070dbc4069" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityRegistrantName_6be1579e-bb5a-484c-9e3d-9c070dbc4069" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentTransitionReport_1ce7fddb-866b-4074-8440-9b3bab71c5ea" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentTransitionReport"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_DocumentTransitionReport_1ce7fddb-866b-4074-8440-9b3bab71c5ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_56499d75-66ad-4772-a868-8533c31e715c" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityIncorporationStateCountryCode_56499d75-66ad-4772-a868-8533c31e715c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_0c01a445-3980-4462-8c42-c469e17fe43e" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityFileNumber_0c01a445-3980-4462-8c42-c469e17fe43e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_938026fb-2f48-430a-b2ac-a05117a74c47" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityTaxIdentificationNumber_938026fb-2f48-430a-b2ac-a05117a74c47" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_25974edf-ab0d-431b-a014-eb31af9d7c60" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityAddressAddressLine1_25974edf-ab0d-431b-a014-eb31af9d7c60" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_7166a630-c16c-484a-9c39-3d51dd9057ba" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityAddressAddressLine2_7166a630-c16c-484a-9c39-3d51dd9057ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_fa54eafc-e83e-4527-9892-2655b246f8d0" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityAddressCityOrTown_fa54eafc-e83e-4527-9892-2655b246f8d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_5583ea82-3c77-487c-a906-249857cf03de" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityAddressStateOrProvince_5583ea82-3c77-487c-a906-249857cf03de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_f89368de-4f25-4602-9ef5-5d830daaea01" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityAddressPostalZipCode_f89368de-4f25-4602-9ef5-5d830daaea01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_32ecf4af-7d2b-452f-8fcb-2b0dc32a641b" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_CityAreaCode_32ecf4af-7d2b-452f-8fcb-2b0dc32a641b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_43bb2ca2-d585-4363-ae92-ad881362e00c" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_LocalPhoneNumber_43bb2ca2-d585-4363-ae92-ad881362e00c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_03bea85a-f145-4d26-a951-d2ec22464332" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_Security12bTitle_03bea85a-f145-4d26-a951-d2ec22464332" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_4e157706-98c0-4d76-9ca3-7ac6b56f0208" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_TradingSymbol_4e157706-98c0-4d76-9ca3-7ac6b56f0208" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_a9b9ee4c-8b7c-482d-8d7d-f533fd6c8523" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_SecurityExchangeName_a9b9ee4c-8b7c-482d-8d7d-f533fd6c8523" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCurrentReportingStatus_fff1f55d-91fc-4784-91e0-401bef95091a" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityCurrentReportingStatus"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityCurrentReportingStatus_fff1f55d-91fc-4784-91e0-401bef95091a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInteractiveDataCurrent_60beceaa-cdd6-4f07-8743-2fc450095195" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityInteractiveDataCurrent"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityInteractiveDataCurrent_60beceaa-cdd6-4f07-8743-2fc450095195" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFilerCategory_1af045f3-1cb3-4eb7-bce0-fc7f1ea3545b" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityFilerCategory"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityFilerCategory_1af045f3-1cb3-4eb7-bce0-fc7f1ea3545b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitySmallBusiness_39086c71-56b4-4ce7-a4b7-a2a0a1e1ef58" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntitySmallBusiness"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntitySmallBusiness_39086c71-56b4-4ce7-a4b7-a2a0a1e1ef58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_61d7bc22-381a-405a-96fe-fe7f9de5668c" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityEmergingGrowthCompany_61d7bc22-381a-405a-96fe-fe7f9de5668c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityShellCompany_26168c2f-e7fb-4b9e-83cb-98a23434885c" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityShellCompany"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityShellCompany_26168c2f-e7fb-4b9e-83cb-98a23434885c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCommonStockSharesOutstanding_ecdcae18-a36b-479f-8987-ff0d19c380d4" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <link:presentationArc order="25" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityCommonStockSharesOutstanding_ecdcae18-a36b-479f-8987-ff0d19c380d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_a30a4a6b-9877-4d26-a17f-96591bfe26d0" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="26" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_EntityCentralIndexKey_a30a4a6b-9877-4d26-a17f-96591bfe26d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate_0eeb3e18-2c1e-46bf-8786-ba9cae2c2f0c" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:presentationArc order="27" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_CurrentFiscalYearEndDate_0eeb3e18-2c1e-46bf-8786-ba9cae2c2f0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalYearFocus_248258be-3969-413e-9582-b099b9df46d5" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentFiscalYearFocus"/>
    <link:presentationArc order="28" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_DocumentFiscalYearFocus_248258be-3969-413e-9582-b099b9df46d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus_1fef3e0d-85cb-42a6-ae10-4f0616495d09" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:presentationArc order="29" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_DocumentFiscalPeriodFocus_1fef3e0d-85cb-42a6-ae10-4f0616495d09" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_7860ad0c-2ad3-4fb8-ae41-9976fc5076a0" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="30" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_201165f6-6da5-4032-a7ad-94e9b382cb50" xlink:to="loc_dei_AmendmentFlag_7860ad0c-2ad3-4fb8-ae41-9976fc5076a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CondensedConsolidatedBalanceSheets" xlink:type="simple" xlink:href="codi-20210331.xsd#CondensedConsolidatedBalanceSheets"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CondensedConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract_03b29e44-721f-4372-b87c-4919c030ff28" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_e6c05f89-9152-4b10-bc22-dc6a2eb7862e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_03b29e44-721f-4372-b87c-4919c030ff28" xlink:to="loc_us-gaap_StatementTable_e6c05f89-9152-4b10-bc22-dc6a2eb7862e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementScenarioAxis_48a4af3d-0a87-49b9-b364-81570e0e7a70" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_StatementScenarioAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_e6c05f89-9152-4b10-bc22-dc6a2eb7862e" xlink:to="loc_srt_StatementScenarioAxis_48a4af3d-0a87-49b9-b364-81570e0e7a70" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioUnspecifiedDomain_0876469d-1325-4752-b3cc-d92e29c9ac78" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScenarioUnspecifiedDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementScenarioAxis_48a4af3d-0a87-49b9-b364-81570e0e7a70" xlink:to="loc_srt_ScenarioUnspecifiedDomain_0876469d-1325-4752-b3cc-d92e29c9ac78" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_da8b5b6e-d3ca-4feb-8dfd-d802d4063ce7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_e6c05f89-9152-4b10-bc22-dc6a2eb7862e" xlink:to="loc_us-gaap_StatementClassOfStockAxis_da8b5b6e-d3ca-4feb-8dfd-d802d4063ce7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_da8b5b6e-d3ca-4feb-8dfd-d802d4063ce7" xlink:to="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesAPreferredStockMember_2a849948-5238-4acf-83b0-102990edfdba" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesAPreferredStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:to="loc_us-gaap_SeriesAPreferredStockMember_2a849948-5238-4acf-83b0-102990edfdba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredClassAMember_22369488-6559-4f7e-8cac-38310a69d0db" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredClassAMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:to="loc_us-gaap_PreferredClassAMember_22369488-6559-4f7e-8cac-38310a69d0db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesBPreferredStockMember_12a4fcfa-b0a8-43a5-b354-d40b9b42a1c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesBPreferredStockMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:to="loc_us-gaap_SeriesBPreferredStockMember_12a4fcfa-b0a8-43a5-b354-d40b9b42a1c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredClassBMember_85b7c783-c52f-4e3e-b17f-1a3c3428f97e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredClassBMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:to="loc_us-gaap_PreferredClassBMember_85b7c783-c52f-4e3e-b17f-1a3c3428f97e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesCPreferredStockMember_f706306d-a223-4ea0-8df8-a2089be4ae66" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesCPreferredStockMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_f232ab04-c0ff-465b-a77d-390bab047e3e" xlink:to="loc_us-gaap_SeriesCPreferredStockMember_f706306d-a223-4ea0-8df8-a2089be4ae66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_e6c05f89-9152-4b10-bc22-dc6a2eb7862e" xlink:to="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockNoParValue_ecfc9186-19b9-4cf9-a0d3-b002ef66ad16" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockNoParValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:to="loc_us-gaap_PreferredStockNoParValue_ecfc9186-19b9-4cf9-a0d3-b002ef66ad16" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:to="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsCurrentAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:to="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_eb34f2f5-9167-40ef-973c-be7edeb7a389" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_eb34f2f5-9167-40ef-973c-be7edeb7a389" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCash_2c8877d9-e6f3-4bcd-bbc0-970f17ac55b4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RestrictedCash"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:to="loc_us-gaap_RestrictedCash_2c8877d9-e6f3-4bcd-bbc0-970f17ac55b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_4cf7a281-252e-4d42-bd79-7ccf27f680ae" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_4cf7a281-252e-4d42-bd79-7ccf27f680ae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_45628067-47b9-4cc5-99e7-3252cea8b6b2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryNet"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:to="loc_us-gaap_InventoryNet_45628067-47b9-4cc5-99e7-3252cea8b6b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_21029f94-93ad-4c2b-85ff-d01051df9875" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_21029f94-93ad-4c2b-85ff-d01051df9875" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_4052f54c-c8ea-4639-8a52-74e28a78f90a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_6317f538-6eee-4ac4-af6c-69f1867416fd" xlink:to="loc_us-gaap_AssetsCurrent_4052f54c-c8ea-4639-8a52-74e28a78f90a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_d09d406e-6500-4d5a-9a97-b09ce488958c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_d09d406e-6500-4d5a-9a97-b09ce488958c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_69fa7eb3-2b9f-468f-8e29-05999b2419cf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:to="loc_us-gaap_Goodwill_69fa7eb3-2b9f-468f-8e29-05999b2419cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_7809eeb3-4557-458b-8eb2-3f1bcf6ebd96" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_7809eeb3-4557-458b-8eb2-3f1bcf6ebd96" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_4841a71f-658f-4099-93be-a8bfcd7058fe" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_4841a71f-658f-4099-93be-a8bfcd7058fe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_fd42311a-bd43-4273-904f-40b60f19f238" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Assets"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_c7386aac-f593-4815-bf5e-9e865f6873ab" xlink:to="loc_us-gaap_Assets_fd42311a-bd43-4273-904f-40b60f19f238" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:to="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesCurrentAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_d8a6a045-2f9d-4d39-af7b-230e7f0ec7ae" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:to="loc_us-gaap_AccountsPayableCurrent_d8a6a045-2f9d-4d39-af7b-230e7f0ec7ae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_706dbb75-50d2-4106-945f-adf0bae3f3ee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_706dbb75-50d2-4106-945f-adf0bae3f3ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DueToRelatedPartiesCurrent_7bb6f0f8-2232-4d14-81c5-cdcf8ed643ed" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DueToRelatedPartiesCurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:to="loc_us-gaap_DueToRelatedPartiesCurrent_7bb6f0f8-2232-4d14-81c5-cdcf8ed643ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_173fcc39-94d1-480e-8ee3-bdf951bc7a4d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:to="loc_us-gaap_LongTermDebtCurrent_173fcc39-94d1-480e-8ee3-bdf951bc7a4d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesCurrent_b7aa9cf6-25a6-419f-8816-e0002ab2ed1a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLiabilitiesCurrent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:to="loc_us-gaap_OtherLiabilitiesCurrent_b7aa9cf6-25a6-419f-8816-e0002ab2ed1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_4607bac7-5bd4-4c44-8750-0442eb755206" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_9699b75d-7ca0-4497-a16a-51aa57554ae2" xlink:to="loc_us-gaap_LiabilitiesCurrent_4607bac7-5bd4-4c44-8750-0442eb755206" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_ca95b9f3-bc5a-44ab-b9d3-e13ebe1f89ee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_ca95b9f3-bc5a-44ab-b9d3-e13ebe1f89ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_e5b94722-5c1b-4dd9-940d-329f3fd47cfc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_e5b94722-5c1b-4dd9-940d-329f3fd47cfc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_235243a7-2da4-40e8-86fd-7859d143050f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_235243a7-2da4-40e8-86fd-7859d143050f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_f4553c14-507e-4b1a-9e6b-b8110b916d0f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Liabilities"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_Liabilities_f4553c14-507e-4b1a-9e6b-b8110b916d0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_1fb0a6c9-c357-46f4-beab-c30911c5c2df" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockValue"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_PreferredStockValue_1fb0a6c9-c357-46f4-beab-c30911c5c2df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_0fa41bdd-9fb1-4cbc-81e0-c9b42904c77d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:to="loc_us-gaap_CommonStockValue_0fa41bdd-9fb1-4cbc-81e0-c9b42904c77d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_8b60e64f-ace0-4c56-a237-ab8c53e71a4a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_8b60e64f-ace0-4c56-a237-ab8c53e71a4a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_4178ce73-7301-46ce-999b-52c156f0fac4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_4178ce73-7301-46ce-999b-52c156f0fac4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_e509c999-b745-479f-a761-c983ba4db8f3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:to="loc_us-gaap_StockholdersEquity_e509c999-b745-479f-a761-c983ba4db8f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterest_ce7f7d5e-8f56-4b6b-a51d-853725ea0ac2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterest"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:to="loc_us-gaap_MinorityInterest_ce7f7d5e-8f56-4b6b-a51d-853725ea0ac2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_7fb38d9a-1688-4acd-9ba9-50884417ead7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_a456736e-2a9f-42ea-bddd-c8e87323f826" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_7fb38d9a-1688-4acd-9ba9-50884417ead7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_f133b28c-17ac-46ae-a2c3-e2989eefa12f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_1e349310-04eb-445f-9d50-c651cd5d91ae" xlink:to="loc_us-gaap_LiabilitiesAndStockholdersEquity_f133b28c-17ac-46ae-a2c3-e2989eefa12f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_78af6414-1d24-4ca4-8b47-49e63ee20a32" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:to="loc_us-gaap_OperatingLeaseLiability_78af6414-1d24-4ca4-8b47-49e63ee20a32" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesIssued_5f57f2fa-9899-49ed-8af5-e4281b0505b2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesIssued"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:to="loc_us-gaap_PreferredStockSharesIssued_5f57f2fa-9899-49ed-8af5-e4281b0505b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesOutstanding_da6a23c4-2e56-4bc5-8343-464eceaa1eb2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesOutstanding"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_475f5d95-903b-4ba7-a8d8-1a1bde8fb0c1" xlink:to="loc_us-gaap_PreferredStockSharesOutstanding_da6a23c4-2e56-4bc5-8343-464eceaa1eb2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CondensedConsolidatedBalanceSheetsParenthetical" xlink:type="simple" xlink:href="codi-20210331.xsd#CondensedConsolidatedBalanceSheetsParenthetical"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CondensedConsolidatedBalanceSheetsParenthetical" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfStockByClassTable_beee7710-1759-475e-b153-5742cda96c4f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfStockByClassTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_ScheduleOfStockByClassTable_beee7710-1759-475e-b153-5742cda96c4f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_e4b687a9-88e5-4ec8-a1c3-7c243677e3bf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_beee7710-1759-475e-b153-5742cda96c4f" xlink:to="loc_us-gaap_StatementClassOfStockAxis_e4b687a9-88e5-4ec8-a1c3-7c243677e3bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_0431c3b2-73cb-4eb0-bebe-303fc9a03b39" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_e4b687a9-88e5-4ec8-a1c3-7c243677e3bf" xlink:to="loc_us-gaap_ClassOfStockDomain_0431c3b2-73cb-4eb0-bebe-303fc9a03b39" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesAPreferredStockMember_b27c86e4-20a5-410e-a153-34d7897fe4be" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesAPreferredStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0431c3b2-73cb-4eb0-bebe-303fc9a03b39" xlink:to="loc_us-gaap_SeriesAPreferredStockMember_b27c86e4-20a5-410e-a153-34d7897fe4be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesBPreferredStockMember_ce7b9b34-e94a-4a4f-b660-58054cf95ef4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesBPreferredStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0431c3b2-73cb-4eb0-bebe-303fc9a03b39" xlink:to="loc_us-gaap_SeriesBPreferredStockMember_ce7b9b34-e94a-4a4f-b660-58054cf95ef4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesCPreferredStockMember_1f6a2e68-74c1-41ce-803c-24f99632a970" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesCPreferredStockMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_0431c3b2-73cb-4eb0-bebe-303fc9a03b39" xlink:to="loc_us-gaap_SeriesCPreferredStockMember_1f6a2e68-74c1-41ce-803c-24f99632a970" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockLineItems_a8caf49e-9d8f-47e6-862f-1c83f0adeebc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfStockLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_beee7710-1759-475e-b153-5742cda96c4f" xlink:to="loc_us-gaap_ClassOfStockLineItems_a8caf49e-9d8f-47e6-862f-1c83f0adeebc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockNoParValue_99dc58ab-302d-495a-ad0f-086d8d86fab4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockNoParValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_CommonStockNoParValue_99dc58ab-302d-495a-ad0f-086d8d86fab4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesAuthorized_eb35f44a-88ec-40fe-9d54-0d8a8ac43bff" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_CommonStockSharesAuthorized_eb35f44a-88ec-40fe-9d54-0d8a8ac43bff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued_92cddf1b-e55e-4092-9960-0f9f7b334a25" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_CommonStockSharesIssued_92cddf1b-e55e-4092-9960-0f9f7b334a25" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding_54cbca69-8f60-49ad-96e6-1b6282865667" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_CommonStockSharesOutstanding_54cbca69-8f60-49ad-96e6-1b6282865667" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesAuthorized_121042d6-9a07-4bd4-90e9-7f872bc4cb7f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesAuthorized"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_PreferredStockSharesAuthorized_121042d6-9a07-4bd4-90e9-7f872bc4cb7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockNoParValue_9ade693a-c0f2-4b4d-977c-8088d271ccc9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockNoParValue"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_PreferredStockNoParValue_9ade693a-c0f2-4b4d-977c-8088d271ccc9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesIssued_aa656641-e311-41f4-90d1-54ef4be2355b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesIssued"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_PreferredStockSharesIssued_aa656641-e311-41f4-90d1-54ef4be2355b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesOutstanding_1904fb57-d187-495d-83e4-60ed947b35ee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesOutstanding"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_PreferredStockSharesOutstanding_1904fb57-d187-495d-83e4-60ed947b35ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllowanceForDoubtfulAccountsReceivable_ed50b672-25a5-405e-9ba8-e7342aab836b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AllowanceForDoubtfulAccountsReceivable"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_AllowanceForDoubtfulAccountsReceivable_ed50b672-25a5-405e-9ba8-e7342aab836b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedAmortizationOfNoncurrentDeferredFinanceCosts_367d0a00-0a9a-4926-bff1-37f1a489b449" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedAmortizationOfNoncurrentDeferredFinanceCosts"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_c9f1a98b-fb3a-4b34-b679-6ea448782284" xlink:to="loc_us-gaap_AccumulatedAmortizationOfNoncurrentDeferredFinanceCosts_367d0a00-0a9a-4926-bff1-37f1a489b449" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CondensedConsolidatedStatementsofOperations" xlink:type="simple" xlink:href="codi-20210331.xsd#CondensedConsolidatedStatementsofOperations"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CondensedConsolidatedStatementsofOperations" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_8e8b4db1-4e57-463e-bdd6-633311fd3e46" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_StatementTable_8e8b4db1-4e57-463e-bdd6-633311fd3e46" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_20448bd8-0eef-44dc-99cf-2247127705ab" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_8e8b4db1-4e57-463e-bdd6-633311fd3e46" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_20448bd8-0eef-44dc-99cf-2247127705ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_737ede88-a82f-4d02-adf8-87e804aa12c5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_20448bd8-0eef-44dc-99cf-2247127705ab" xlink:to="loc_us-gaap_SegmentDomain_737ede88-a82f-4d02-adf8-87e804aa12c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_9341b678-7735-4937-8a97-01db47e4fcaf" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_737ede88-a82f-4d02-adf8-87e804aa12c5" xlink:to="loc_codi_VelocityOutdoorMember_9341b678-7735-4937-8a97-01db47e4fcaf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAxis_417f7207-65b1-48d1-aa26-2a11ccce6543" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RestatementAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_8e8b4db1-4e57-463e-bdd6-633311fd3e46" xlink:to="loc_srt_RestatementAxis_417f7207-65b1-48d1-aa26-2a11ccce6543" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementDomain_cc8e0b8e-870d-4bff-a45a-f99c28417c5a" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RestatementDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementAxis_417f7207-65b1-48d1-aa26-2a11ccce6543" xlink:to="loc_srt_RestatementDomain_cc8e0b8e-870d-4bff-a45a-f99c28417c5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductOrServiceAxis_3e5dce92-30d8-4743-9833-6c4ab924684d" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ProductOrServiceAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_8e8b4db1-4e57-463e-bdd6-633311fd3e46" xlink:to="loc_srt_ProductOrServiceAxis_3e5dce92-30d8-4743-9833-6c4ab924684d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductsAndServicesDomain_86f07b85-e3be-4937-b96b-48e84ae31563" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ProductsAndServicesDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ProductOrServiceAxis_3e5dce92-30d8-4743-9833-6c4ab924684d" xlink:to="loc_srt_ProductsAndServicesDomain_86f07b85-e3be-4937-b96b-48e84ae31563" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_fa91fc97-cddd-44dc-b7d1-287b64304b0c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_8e8b4db1-4e57-463e-bdd6-633311fd3e46" xlink:to="loc_us-gaap_StatementLineItems_fa91fc97-cddd-44dc-b7d1-287b64304b0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_13501a70-0346-4ab2-bd5a-e5dabdd96ac1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_13501a70-0346-4ab2-bd5a-e5dabdd96ac1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_9fed2b96-4ae1-4236-97ec-5a120c5525e3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_9fed2b96-4ae1-4236-97ec-5a120c5525e3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_a8fc2f7f-a39c-4704-8923-8c57da29ebe4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GrossProfit"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_GrossProfit_a8fc2f7f-a39c-4704-8923-8c57da29ebe4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpensesAbstract_332c627d-2872-4f20-b9cb-7a90c2a7a660" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingExpensesAbstract"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_OperatingExpensesAbstract_332c627d-2872-4f20-b9cb-7a90c2a7a660" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpense_a411a0b4-24a7-4884-9504-b5e76db1d0c4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SellingGeneralAndAdministrativeExpense"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OperatingExpensesAbstract_332c627d-2872-4f20-b9cb-7a90c2a7a660" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpense_a411a0b4-24a7-4884-9504-b5e76db1d0c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeeExpense_5c724086-7137-4b8e-8080-92fb5f1ade10" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ManagementFeeExpense"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OperatingExpensesAbstract_332c627d-2872-4f20-b9cb-7a90c2a7a660" xlink:to="loc_us-gaap_ManagementFeeExpense_5c724086-7137-4b8e-8080-92fb5f1ade10" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfIntangibleAssets_011259ff-4848-4604-b686-dbcd872fa5cd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfIntangibleAssets"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OperatingExpensesAbstract_332c627d-2872-4f20-b9cb-7a90c2a7a660" xlink:to="loc_us-gaap_AmortizationOfIntangibleAssets_011259ff-4848-4604-b686-dbcd872fa5cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_dec2c94a-7454-479a-a85f-a4a17614eee7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OperatingExpensesAbstract_332c627d-2872-4f20-b9cb-7a90c2a7a660" xlink:to="loc_us-gaap_OperatingIncomeLoss_dec2c94a-7454-479a-a85f-a4a17614eee7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpenseAbstract_0cfc9e91-52dc-4972-b85b-490a5d736a33" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NonoperatingIncomeExpenseAbstract"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_NonoperatingIncomeExpenseAbstract_0cfc9e91-52dc-4972-b85b-490a5d736a33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNonoperatingNet_244efb8b-6714-4b8f-b0da-72cc358e72ec" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestIncomeExpenseNonoperatingNet"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_0cfc9e91-52dc-4972-b85b-490a5d736a33" xlink:to="loc_us-gaap_InterestIncomeExpenseNonoperatingNet_244efb8b-6714-4b8f-b0da-72cc358e72ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_9c05cafa-6443-4ed8-926b-d8ae609a3aa7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_0cfc9e91-52dc-4972-b85b-490a5d736a33" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_9c05cafa-6443-4ed8-926b-d8ae609a3aa7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_7e775608-4c9e-4f88-8afe-aaf4377240be" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_0cfc9e91-52dc-4972-b85b-490a5d736a33" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_7e775608-4c9e-4f88-8afe-aaf4377240be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_c70a98d1-7213-4df4-b1cb-1056285d942e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_0cfc9e91-52dc-4972-b85b-490a5d736a33" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_c70a98d1-7213-4df4-b1cb-1056285d942e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_6a52105d-febc-4345-a58d-a6d08cfff91c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_6a52105d-febc-4345-a58d-a6d08cfff91c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_211d48fc-8492-4726-9a83-7856b10758f3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_211d48fc-8492-4726-9a83-7856b10758f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_2d488165-4008-4bb7-b725-11ce7ef4b599" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProfitLoss"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_ProfitLoss_2d488165-4008-4bb7-b725-11ce7ef4b599" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsAttributableToNoncontrollingEntity_fc6a8082-8755-4e0b-910f-5c27e47480c0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsAttributableToNoncontrollingEntity"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsAttributableToNoncontrollingEntity_fc6a8082-8755-4e0b-910f-5c27e47480c0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_eb524a32-08cf-4514-9625-934d5f4144c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_NetIncomeLoss_eb524a32-08cf-4514-9625-934d5f4144c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeAmountsAttributableToReportingEntityDisclosuresAbstract_d27f6e59-bb07-4f58-af5c-57b74a7c22ed" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeAmountsAttributableToReportingEntityDisclosuresAbstract"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_IncomeAmountsAttributableToReportingEntityDisclosuresAbstract_d27f6e59-bb07-4f58-af5c-57b74a7c22ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasicAndDilutedAbstract_a810b53f-2027-4b95-9224-6ad1ec9379c0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareBasicAndDilutedAbstract"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_EarningsPerShareBasicAndDilutedAbstract_a810b53f-2027-4b95-9224-6ad1ec9379c0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasicAndDiluted_404d4e46-d1ee-49f2-bafc-93cfb2ecf9ce" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareBasicAndDiluted"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareBasicAndDilutedAbstract_a810b53f-2027-4b95-9224-6ad1ec9379c0" xlink:to="loc_us-gaap_EarningsPerShareBasicAndDiluted_404d4e46-d1ee-49f2-bafc-93cfb2ecf9ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_WeightedAverageNumberOfSharesOfTrustStockOutstandingBasicAndFullyDiluted_c01795b5-b6bc-4ed2-aafb-e1cc1e9abfbb" xlink:href="codi-20210331.xsd#codi_WeightedAverageNumberOfSharesOfTrustStockOutstandingBasicAndFullyDiluted"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_codi_WeightedAverageNumberOfSharesOfTrustStockOutstandingBasicAndFullyDiluted_c01795b5-b6bc-4ed2-aafb-e1cc1e9abfbb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockDividendsPerShareDeclared_d92c938a-6cfe-4a5a-9149-bd09406847d0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_114dde5a-9b6a-491f-825a-43182971f1f2" xlink:to="loc_us-gaap_CommonStockDividendsPerShareDeclared_d92c938a-6cfe-4a5a-9149-bd09406847d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CondensedConsolidatedStatementsofComprehensiveIncomeLoss" xlink:type="simple" xlink:href="codi-20210331.xsd#CondensedConsolidatedStatementsofComprehensiveIncomeLoss"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CondensedConsolidatedStatementsofComprehensiveIncomeLoss" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_9e8abc0d-96ac-4aaa-8e38-f9087731d95a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_5e8d482b-e1c4-41a1-960c-fe4dd490c4d4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_9e8abc0d-96ac-4aaa-8e38-f9087731d95a" xlink:to="loc_us-gaap_StatementTable_5e8d482b-e1c4-41a1-960c-fe4dd490c4d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementScenarioAxis_da43a3ef-e00d-4bdd-8de6-e7bc737fc742" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_StatementScenarioAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_5e8d482b-e1c4-41a1-960c-fe4dd490c4d4" xlink:to="loc_srt_StatementScenarioAxis_da43a3ef-e00d-4bdd-8de6-e7bc737fc742" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioUnspecifiedDomain_0b03d2bc-0438-41fd-b2eb-584e94ca8f8d" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScenarioUnspecifiedDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementScenarioAxis_da43a3ef-e00d-4bdd-8de6-e7bc737fc742" xlink:to="loc_srt_ScenarioUnspecifiedDomain_0b03d2bc-0438-41fd-b2eb-584e94ca8f8d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_5e8d482b-e1c4-41a1-960c-fe4dd490c4d4" xlink:to="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_342def65-2eae-48b9-beaa-cabe9ad63927" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProfitLoss"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_ProfitLoss_342def65-2eae-48b9-beaa-cabe9ad63927" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_53b426cf-bf47-4e49-be0e-24754701ab37" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_53b426cf-bf47-4e49-be0e-24754701ab37" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_215bbbbe-7cbb-4864-a525-c1afd0fad2e0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_215bbbbe-7cbb-4864-a525-c1afd0fad2e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_42674779-bbcf-48f8-ad0d-1f64f80977d6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_42674779-bbcf-48f8-ad0d-1f64f80977d6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax_321382b1-3415-4c1b-aae3-ee42d42c3baa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_42674779-bbcf-48f8-ad0d-1f64f80977d6" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax_321382b1-3415-4c1b-aae3-ee42d42c3baa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_296a32db-c9ab-44a4-bedb-36b96eed544b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_42674779-bbcf-48f8-ad0d-1f64f80977d6" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_296a32db-c9ab-44a4-bedb-36b96eed544b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_d234c9f7-5657-438a-adb8-cb8cb3782d04" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_d234c9f7-5657-438a-adb8-cb8cb3782d04" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_df19b58c-224a-436b-9ec6-a31968f3d059" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetIncomeLossAttributableToNoncontrollingInterest"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_df19b58c-224a-436b-9ec6-a31968f3d059" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToNoncontrollingInterest_d9af95b4-f5b0-4681-885a-161ad7485465" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToNoncontrollingInterest"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToNoncontrollingInterest_d9af95b4-f5b0-4681-885a-161ad7485465" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_29aeb903-3950-4128-a7f5-9f4090b69e0d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_36ebb50b-6ea8-4706-a974-6ad043a99e0a" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTax_29aeb903-3950-4128-a7f5-9f4090b69e0d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CondensedConsolidatedStatementofStockholdersEquity" xlink:type="simple" xlink:href="codi-20210331.xsd#CondensedConsolidatedStatementofStockholdersEquity"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CondensedConsolidatedStatementofStockholdersEquity" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfStockholdersEquityAbstract_885a8b25-6b9f-4cd2-a798-9ee6a905c1a9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfStockholdersEquityAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_bafd39da-83e3-43b7-87f6-8fe07758c77d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfStockholdersEquityAbstract_885a8b25-6b9f-4cd2-a798-9ee6a905c1a9" xlink:to="loc_us-gaap_StatementTable_bafd39da-83e3-43b7-87f6-8fe07758c77d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_1f78c658-d0c7-4ca4-8f4e-3c1f4c1c60f6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_bafd39da-83e3-43b7-87f6-8fe07758c77d" xlink:to="loc_us-gaap_StatementClassOfStockAxis_1f78c658-d0c7-4ca4-8f4e-3c1f4c1c60f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_1f78c658-d0c7-4ca4-8f4e-3c1f4c1c60f6" xlink:to="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredClassAMember_28bf7de8-1ab3-4ebf-8443-d2adbd77cbcb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredClassAMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:to="loc_us-gaap_PreferredClassAMember_28bf7de8-1ab3-4ebf-8443-d2adbd77cbcb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockMember_98aafe5b-fca3-4d77-b452-f17c8ac9cbc6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:to="loc_us-gaap_PreferredStockMember_98aafe5b-fca3-4d77-b452-f17c8ac9cbc6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredClassBMember_da33b0a7-dde9-40f0-95e2-a2117e4b520a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredClassBMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:to="loc_us-gaap_PreferredClassBMember_da33b0a7-dde9-40f0-95e2-a2117e4b520a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesCPreferredStockMember_d95ab00a-4e83-437d-96a0-5d9f30b8f295" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesCPreferredStockMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:to="loc_us-gaap_SeriesCPreferredStockMember_d95ab00a-4e83-437d-96a0-5d9f30b8f295" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_7ec0867e-0ff5-40fd-97f4-01ecb94ac389" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6bd48f47-8c55-40fc-b7bc-8bebe8301ab8" xlink:to="loc_us-gaap_CommonStockMember_7ec0867e-0ff5-40fd-97f4-01ecb94ac389" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_73e5145e-8407-49ee-ba96-5924453f1eed" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_bafd39da-83e3-43b7-87f6-8fe07758c77d" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_73e5145e-8407-49ee-ba96-5924453f1eed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_b27ff519-fcba-427c-b51d-8d44bdf00260" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_73e5145e-8407-49ee-ba96-5924453f1eed" xlink:to="loc_us-gaap_SegmentDomain_b27ff519-fcba-427c-b51d-8d44bdf00260" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_927caf00-571e-4518-9dc6-81e9e3086c50" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_b27ff519-fcba-427c-b51d-8d44bdf00260" xlink:to="loc_codi_LibertyMember_927caf00-571e-4518-9dc6-81e9e3086c50" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_956ad8b2-5676-4c8f-9935-e01f02f30f37" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_b27ff519-fcba-427c-b51d-8d44bdf00260" xlink:to="loc_codi_MarucciMemberMember_956ad8b2-5676-4c8f-9935-e01f02f30f37" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_20f10629-6248-42d7-b44a-0cd6d395101e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_bafd39da-83e3-43b7-87f6-8fe07758c77d" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_20f10629-6248-42d7-b44a-0cd6d395101e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityComponentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_20f10629-6248-42d7-b44a-0cd6d395101e" xlink:to="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockMember_3a591435-6f79-4e76-b345-b7eed16d7304" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:to="loc_us-gaap_PreferredStockMember_3a591435-6f79-4e76-b345-b7eed16d7304" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_2449e723-7156-437b-a034-0cc46d7300b9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:to="loc_us-gaap_CommonStockMember_2449e723-7156-437b-a034-0cc46d7300b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsMember_1c59e692-42d2-4e86-a4c3-90302a592888" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RetainedEarningsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:to="loc_us-gaap_RetainedEarningsMember_1c59e692-42d2-4e86-a4c3-90302a592888" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_0ba3d48f-8dee-4754-b33e-6a522cdd795f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_0ba3d48f-8dee-4754-b33e-6a522cdd795f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ParentMember_4b4b6548-f9c2-4da1-9639-476c2c46fe46" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ParentMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:to="loc_us-gaap_ParentMember_4b4b6548-f9c2-4da1-9639-476c2c46fe46" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoncontrollingInterestMember_0c34faac-4db9-4804-8ce6-0eac27380a6a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NoncontrollingInterestMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_4d10ec6e-fed9-4de8-9262-69babf4e8e18" xlink:to="loc_us-gaap_NoncontrollingInterestMember_0c34faac-4db9-4804-8ce6-0eac27380a6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_f28c7365-5a47-4683-8e3c-69202c180577" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_bafd39da-83e3-43b7-87f6-8fe07758c77d" xlink:to="loc_us-gaap_StatementLineItems_f28c7365-5a47-4683-8e3c-69202c180577" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterest_ede8db97-00ba-45a3-a4f0-f425c7db0d5a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterest"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_f28c7365-5a47-4683-8e3c-69202c180577" xlink:to="loc_us-gaap_MinorityInterest_ede8db97-00ba-45a3-a4f0-f425c7db0d5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInStockholdersEquityRollForward"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_f28c7365-5a47-4683-8e3c-69202c180577" xlink:to="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_fd30de9a-520f-40b8-80b4-e708f7b746c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_fd30de9a-520f-40b8-80b4-e708f7b746c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_af8afda5-f6b6-486c-a633-3ca8175a41fb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProfitLoss"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_ProfitLoss_af8afda5-f6b6-486c-a633-3ca8175a41fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_deb92c0d-a804-4e5a-a018-41d274b02025" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeTax"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_deb92c0d-a804-4e5a-a018-41d274b02025" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues_db7e8abf-a99b-40fd-ab5e-3e36ce6a2aec" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockIssuedDuringPeriodValueNewIssues"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues_db7e8abf-a99b-40fd-ab5e-3e36ce6a2aec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_314bdbcd-472c-45f4-86c2-637ec53b25e6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockValue"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_PreferredStockValue_314bdbcd-472c-45f4-86c2-637ec53b25e6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_OptionActivityAttributableToNoncontrollingInterestHolders_414a24e9-d886-41a3-8d30-be81b1541234" xlink:href="codi-20210331.xsd#codi_OptionActivityAttributableToNoncontrollingInterestHolders"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_codi_OptionActivityAttributableToNoncontrollingInterestHolders_414a24e9-d886-41a3-8d30-be81b1541234" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_edc0e84f-3a0e-492d-8b48-9e51640895fa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_edc0e84f-3a0e-492d-8b48-9e51640895fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoncontrollingInterestIncreaseFromSaleOfParentEquityInterest_7883da35-7ab8-4b1f-9d40-3b5b085a5e96" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NoncontrollingInterestIncreaseFromSaleOfParentEquityInterest"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_NoncontrollingInterestIncreaseFromSaleOfParentEquityInterest_7883da35-7ab8-4b1f-9d40-3b5b085a5e96" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionExpenseAllocationInterests_6e2cba67-71df-46c3-9a6f-c448ef4a093e" xlink:href="codi-20210331.xsd#codi_DistributionExpenseAllocationInterests"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_codi_DistributionExpenseAllocationInterests_6e2cba67-71df-46c3-9a6f-c448ef4a093e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionToShareholders_bb2bc877-c83a-40b2-b59c-a08499635810" xlink:href="codi-20210331.xsd#codi_DistributionToShareholders"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_codi_DistributionToShareholders_bb2bc877-c83a-40b2-b59c-a08499635810" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_9e855c2f-e6f4-4a52-8491-8334d576deae" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_d8f09965-5101-4fbb-a88e-f84a96ce61f5" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_9e855c2f-e6f4-4a52-8491-8334d576deae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="simple" xlink:href="codi-20210331.xsd#CondensedConsolidatedStatementsofCashFlows"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract_37aa935d-21fc-4a34-a248-60e14a12c2a1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfCashFlowsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_8bcdb816-c9d0-4bf5-b041-16cefcd19e2e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_37aa935d-21fc-4a34-a248-60e14a12c2a1" xlink:to="loc_us-gaap_StatementTable_8bcdb816-c9d0-4bf5-b041-16cefcd19e2e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_4ed91185-caa2-4b20-9955-7fad6645a2ca" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_8bcdb816-c9d0-4bf5-b041-16cefcd19e2e" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_4ed91185-caa2-4b20-9955-7fad6645a2ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_d4c21ce1-cd40-43e7-ad7e-b49a0f6d4eef" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_4ed91185-caa2-4b20-9955-7fad6645a2ca" xlink:to="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_d4c21ce1-cd40-43e7-ad7e-b49a0f6d4eef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementTable_8bcdb816-c9d0-4bf5-b041-16cefcd19e2e" xlink:to="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_99903ae5-1e05-4cc1-b316-ae3751891a7e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_99903ae5-1e05-4cc1-b316-ae3751891a7e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_e1442799-f37e-4fa0-86c8-a90897a7f3df" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProfitLoss"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_99903ae5-1e05-4cc1-b316-ae3751891a7e" xlink:to="loc_us-gaap_ProfitLoss_e1442799-f37e-4fa0-86c8-a90897a7f3df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_99903ae5-1e05-4cc1-b316-ae3751891a7e" xlink:to="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Depreciation_b3b07adf-f5cf-4778-9684-57bb8c959cde" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Depreciation"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_Depreciation_b3b07adf-f5cf-4778-9684-57bb8c959cde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentForAmortization_a88de6b1-7d5c-475f-9f8e-3225ac377b4b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdjustmentForAmortization"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_AdjustmentForAmortization_a88de6b1-7d5c-475f-9f8e-3225ac377b4b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCostsAndDiscounts_2ec53d63-2808-4887-a9d7-61781f04a5aa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfFinancingCostsAndDiscounts"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_AmortizationOfFinancingCostsAndDiscounts_2ec53d63-2808-4887-a9d7-61781f04a5aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NoncontrollingStockholderChargesAndOther_cbe702ff-d62d-4e99-aa04-cbe1a054c47c" xlink:href="codi-20210331.xsd#codi_NoncontrollingStockholderChargesAndOther"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_codi_NoncontrollingStockholderChargesAndOther_cbe702ff-d62d-4e99-aa04-cbe1a054c47c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForLoanAndLeaseLosses_ec5a5549-38b3-4956-b81d-41bb42bbce5a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProvisionForLoanAndLeaseLosses"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_ProvisionForLoanAndLeaseLosses_ec5a5549-38b3-4956-b81d-41bb42bbce5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxesAndTaxCredits_31ebeb0e-2e96-4edf-9a33-088d465abe29" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredIncomeTaxesAndTaxCredits"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_DeferredIncomeTaxesAndTaxCredits_31ebeb0e-2e96-4edf-9a33-088d465abe29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncashIncomeExpense_b2ce7890-a018-4935-8048-91b817b648ac" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncashIncomeExpense"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_OtherNoncashIncomeExpense_b2ce7890-a018-4935-8048-91b817b648ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_3f81c111-5747-4e28-ad72-77200a698cc3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_23293c64-4fce-42ae-aa78-75daab1b412d" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_3f81c111-5747-4e28-ad72-77200a698cc3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_6d14fc30-9beb-43a3-b3bb-411986c0b8d7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_3f81c111-5747-4e28-ad72-77200a698cc3" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_6d14fc30-9beb-43a3-b3bb-411986c0b8d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_ab0e6ff5-a14f-4df7-8b12-b4336c94da3e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInInventories"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_3f81c111-5747-4e28-ad72-77200a698cc3" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_ab0e6ff5-a14f-4df7-8b12-b4336c94da3e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_98110751-c60f-485a-be10-a4689aed8bc8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_3f81c111-5747-4e28-ad72-77200a698cc3" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_98110751-c60f-485a-be10-a4689aed8bc8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_b2c659ee-884a-491c-b44e-3a62995b6fbb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_3f81c111-5747-4e28-ad72-77200a698cc3" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_b2c659ee-884a-491c-b44e-3a62995b6fbb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_7ad19f2a-672b-4ba9-8b46-2fb610c73602" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_99903ae5-1e05-4cc1-b316-ae3751891a7e" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_7ad19f2a-672b-4ba9-8b46-2fb610c73602" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_ffccde88-de9f-45f4-b04c-2ed17bc04123" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_ffccde88-de9f-45f4-b04c-2ed17bc04123" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_e4bb3c48-7b25-42ca-9f17-8bb06ad96e49" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_e4bb3c48-7b25-42ca-9f17-8bb06ad96e49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_12d8b99a-7f0c-4e2b-a07e-53349771f720" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_e4bb3c48-7b25-42ca-9f17-8bb06ad96e49" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_12d8b99a-7f0c-4e2b-a07e-53349771f720" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_fab9f2b1-9a79-40dc-ad16-bc484bb52116" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_e4bb3c48-7b25-42ca-9f17-8bb06ad96e49" xlink:to="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_fab9f2b1-9a79-40dc-ad16-bc484bb52116" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dc4a5111-647f-4830-8a74-6fb9055f98cc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_e4bb3c48-7b25-42ca-9f17-8bb06ad96e49" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dc4a5111-647f-4830-8a74-6fb9055f98cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_309edae8-48d7-493a-b072-abc994b2cc33" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromLongTermLinesOfCredit"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_309edae8-48d7-493a-b072-abc994b2cc33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLongTermLinesOfCredit_940b6cf6-705e-4b2a-9790-4d02c7cad01e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RepaymentsOfLongTermLinesOfCredit"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_RepaymentsOfLongTermLinesOfCredit_940b6cf6-705e-4b2a-9790-4d02c7cad01e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSeniorLongTermDebt_bd13ef42-9ecf-4745-9339-e34ae5d75428" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfSeniorLongTermDebt"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSeniorLongTermDebt_bd13ef42-9ecf-4745-9339-e34ae5d75428" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromRepaymentsOfRestrictedCashFinancingActivities_ed49f208-eee9-4e34-994b-405e5cf1cfaf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromRepaymentsOfRestrictedCashFinancingActivities"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_ProceedsFromRepaymentsOfRestrictedCashFinancingActivities_ed49f208-eee9-4e34-994b-405e5cf1cfaf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentsOfDistributionsToShareholders_909ebc3c-6c8d-41c9-9b21-d9369a936d75" xlink:href="codi-20210331.xsd#codi_PaymentsOfDistributionsToShareholders"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_codi_PaymentsOfDistributionsToShareholders_909ebc3c-6c8d-41c9-9b21-d9369a936d75" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionsMadeToPreferredShareholdersCashDistributionsPaid_0781f2c4-05df-4d51-ab5a-a87c6b6f5805" xlink:href="codi-20210331.xsd#codi_DistributionsMadeToPreferredShareholdersCashDistributionsPaid"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_codi_DistributionsMadeToPreferredShareholdersCashDistributionsPaid_0781f2c4-05df-4d51-ab5a-a87c6b6f5805" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentstoNoncontrollingInterestsAllocationInterests_bda32ae5-283f-47d8-b86d-03c7d7fabcd0" xlink:href="codi-20210331.xsd#codi_PaymentstoNoncontrollingInterestsAllocationInterests"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_codi_PaymentstoNoncontrollingInterestsAllocationInterests_bda32ae5-283f-47d8-b86d-03c7d7fabcd0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromMinorityShareholders_fc4a5463-b295-48f0-bb6a-017ce919948d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromMinorityShareholders"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_ProceedsFromMinorityShareholders_fc4a5463-b295-48f0-bb6a-017ce919948d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfRedeemableNoncontrollingInterest_833d25d5-b6f0-4f6e-8aee-b69dd2e42227" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsForRepurchaseOfRedeemableNoncontrollingInterest"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_PaymentsForRepurchaseOfRedeemableNoncontrollingInterest_833d25d5-b6f0-4f6e-8aee-b69dd2e42227" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts_39c0c8b3-7cea-47a5-ae17-b68710b3ce91" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_PaymentsOfDebtIssuanceCosts_39c0c8b3-7cea-47a5-ae17-b68710b3ce91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_6eddfc15-86c1-4837-9b86-94244cba12bb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_6eddfc15-86c1-4837-9b86-94244cba12bb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1e5a3684-60a6-4e8e-8e80-aff2092ff6a3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_b2a15692-883a-444d-8ea1-13732767293d" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1e5a3684-60a6-4e8e-8e80-aff2092ff6a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_02918f23-5bcc-431c-b8ae-3e280c72725f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_02918f23-5bcc-431c-b8ae-3e280c72725f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_9d07648f-fed3-49b6-8a01-5405f604ae86" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_9d07648f-fed3-49b6-8a01-5405f604ae86" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_3db7d1f5-2a35-492c-9645-a2eaae129225" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_3db7d1f5-2a35-492c-9645-a2eaae129225" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_66e1e27a-6bed-45b0-afc4-54b45f230f84" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementLineItems_094d9b92-e35d-483f-ab8c-8f49d8fbe9c2" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_66e1e27a-6bed-45b0-afc4-54b45f230f84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PresentationandPrinciplesofConsolidation" xlink:type="simple" xlink:href="codi-20210331.xsd#PresentationandPrinciplesofConsolidation"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PresentationandPrinciplesofConsolidation" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_5cc9b151-77b7-49c3-b545-1f26f3a0169a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_75841ecd-ef5a-4cd5-b17b-cc42907c1f55" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_5cc9b151-77b7-49c3-b545-1f26f3a0169a" xlink:to="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_75841ecd-ef5a-4cd5-b17b-cc42907c1f55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PresentationandPrinciplesofConsolidationPolicies" xlink:type="simple" xlink:href="codi-20210331.xsd#PresentationandPrinciplesofConsolidationPolicies"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PresentationandPrinciplesofConsolidationPolicies" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_1990bb38-8fb8-42a8-8c82-212d67413db4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConsolidationPolicyTextBlock_bffe6924-879c-4202-b7e3-941b980022b7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConsolidationPolicyTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_1990bb38-8fb8-42a8-8c82-212d67413db4" xlink:to="loc_us-gaap_ConsolidationPolicyTextBlock_bffe6924-879c-4202-b7e3-941b980022b7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SeasonalityPolicyTextBlock_4ad0c293-1cee-41fb-b3e9-0b76646dd2f1" xlink:href="codi-20210331.xsd#codi_SeasonalityPolicyTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_1990bb38-8fb8-42a8-8c82-212d67413db4" xlink:to="loc_codi_SeasonalityPolicyTextBlock_4ad0c293-1cee-41fb-b3e9-0b76646dd2f1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_0fbdbf3e-434e-44df-aa83-38f41200672c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_1990bb38-8fb8-42a8-8c82-212d67413db4" xlink:to="loc_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_0fbdbf3e-434e-44df-aa83-38f41200672c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRecognitionPolicyTextBlock_efd8121a-c00d-435c-b4ad-18c4ef58f632" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueRecognitionPolicyTextBlock"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_1990bb38-8fb8-42a8-8c82-212d67413db4" xlink:to="loc_us-gaap_RevenueRecognitionPolicyTextBlock_efd8121a-c00d-435c-b4ad-18c4ef58f632" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PresentationandPrinciplesofConsolidationNarrativeDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#PresentationandPrinciplesofConsolidationNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PresentationandPrinciplesofConsolidationNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_c74d5a9b-fa75-4381-80cf-26237527ab77" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_b049041d-9736-40bc-8dcc-1f60fea59674" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_c74d5a9b-fa75-4381-80cf-26237527ab77" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_b049041d-9736-40bc-8dcc-1f60fea59674" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_1f50a33a-07e3-4396-a935-25204a2ae79c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_b049041d-9736-40bc-8dcc-1f60fea59674" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_1f50a33a-07e3-4396-a935-25204a2ae79c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_415cdeb7-19b2-45bb-b2e9-8d99711da5d3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_1f50a33a-07e3-4396-a935-25204a2ae79c" xlink:to="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_415cdeb7-19b2-45bb-b2e9-8d99711da5d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_dfb46364-93fd-46dd-9aa9-85340a8c66e2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_b049041d-9736-40bc-8dcc-1f60fea59674" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_dfb46364-93fd-46dd-9aa9-85340a8c66e2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_OwnershipPercentageOfTrustInterestHeldByParentEntity_90133feb-da86-4815-b7fd-e43a15841203" xlink:href="codi-20210331.xsd#codi_OwnershipPercentageOfTrustInterestHeldByParentEntity"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_c74d5a9b-fa75-4381-80cf-26237527ab77" xlink:to="loc_codi_OwnershipPercentageOfTrustInterestHeldByParentEntity_90133feb-da86-4815-b7fd-e43a15841203" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfReportableSegments_639c3523-f691-4de5-8f93-c576eab6d088" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NumberOfReportableSegments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_c74d5a9b-fa75-4381-80cf-26237527ab77" xlink:to="loc_us-gaap_NumberOfReportableSegments_639c3523-f691-4de5-8f93-c576eab6d088" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/Acquisition" xlink:type="simple" xlink:href="codi-20210331.xsd#Acquisition"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/Acquisition" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_codi_AcquisitionsAbstract_0cfb5307-b2c9-4952-b30c-c75314205112" xlink:href="codi-20210331.xsd#codi_AcquisitionsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationDisclosureTextBlock_f944431d-000e-414c-ad94-894478660423" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_AcquisitionsAbstract_0cfb5307-b2c9-4952-b30c-c75314205112" xlink:to="loc_us-gaap_BusinessCombinationDisclosureTextBlock_f944431d-000e-414c-ad94-894478660423" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/AcquisitionAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#AcquisitionAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/AcquisitionAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationsAbstract_bc06fdba-4c6a-404d-8b84-90a14ab03b79" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationsAbstract_bc06fdba-4c6a-404d-8b84-90a14ab03b79" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_5f74877b-4706-45dd-81aa-2ad7b8be0618" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_5f74877b-4706-45dd-81aa-2ad7b8be0618" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_da488525-5927-46cb-9292-0206c615c173" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_5f74877b-4706-45dd-81aa-2ad7b8be0618" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_da488525-5927-46cb-9292-0206c615c173" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_c2cac7ff-a1dd-4a6e-bf42-bd96bf550a56" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_da488525-5927-46cb-9292-0206c615c173" xlink:to="loc_us-gaap_SubsequentEventMember_c2cac7ff-a1dd-4a6e-bf42-bd96bf550a56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis_402489d8-ddfc-4149-aeb4-3313a614a3e3" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_LegalEntityAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_dei_LegalEntityAxis_402489d8-ddfc-4149-aeb4-3313a614a3e3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain_79bfc142-0997-4781-88a9-9e001886bebf" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_LegalEntityAxis_402489d8-ddfc-4149-aeb4-3313a614a3e3" xlink:to="loc_dei_EntityDomain_79bfc142-0997-4781-88a9-9e001886bebf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_25c1b8e4-cf76-4e9b-b0ff-078403af86a6" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityDomain_79bfc142-0997-4781-88a9-9e001886bebf" xlink:to="loc_codi_VelocityOutdoorMember_25c1b8e4-cf76-4e9b-b0ff-078403af86a6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementScenarioAxis_b5e4e5a6-4fe6-451a-9d24-c655e0e9f74b" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_StatementScenarioAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_srt_StatementScenarioAxis_b5e4e5a6-4fe6-451a-9d24-c655e0e9f74b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioUnspecifiedDomain_21d9ccbc-2fb6-47d8-baf7-be4717165e29" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScenarioUnspecifiedDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementScenarioAxis_b5e4e5a6-4fe6-451a-9d24-c655e0e9f74b" xlink:to="loc_srt_ScenarioUnspecifiedDomain_21d9ccbc-2fb6-47d8-baf7-be4717165e29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_588798e1-dc37-452d-96fa-22f76b4869f9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_588798e1-dc37-452d-96fa-22f76b4869f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_5fbadb8b-9faf-4a79-889f-5bacd9d76d51" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_588798e1-dc37-452d-96fa-22f76b4869f9" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_5fbadb8b-9faf-4a79-889f-5bacd9d76d51" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CustomerRelationshipsMember_b730ffe7-b57b-4bd9-a8cc-77ed20d50909" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CustomerRelationshipsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_5fbadb8b-9faf-4a79-889f-5bacd9d76d51" xlink:to="loc_us-gaap_CustomerRelationshipsMember_b730ffe7-b57b-4bd9-a8cc-77ed20d50909" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_4220d574-c031-42b6-8317-0d6cac02c240" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_5fbadb8b-9faf-4a79-889f-5bacd9d76d51" xlink:to="loc_us-gaap_TradeNamesMember_4220d574-c031-42b6-8317-0d6cac02c240" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_616b0c67-5431-4371-8135-2f91f0e55be5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_616b0c67-5431-4371-8135-2f91f0e55be5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_e3a122f5-edee-49c7-9219-d7a76e67cdb6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityComponentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_616b0c67-5431-4371-8135-2f91f0e55be5" xlink:to="loc_us-gaap_EquityComponentDomain_e3a122f5-edee-49c7-9219-d7a76e67cdb6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoncontrollingInterestMember_fe2c449e-5518-44cc-8e1f-2093bfd5e2ca" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NoncontrollingInterestMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_e3a122f5-edee-49c7-9219-d7a76e67cdb6" xlink:to="loc_us-gaap_NoncontrollingInterestMember_fe2c449e-5518-44cc-8e1f-2093bfd5e2ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_f2530f40-4262-4d6d-a3b8-2ffc275c0136" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_f2530f40-4262-4d6d-a3b8-2ffc275c0136" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_f2530f40-4262-4d6d-a3b8-2ffc275c0136" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_00552628-4fab-4942-93a8-f81877176e6f" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:to="loc_codi_MarucciMemberMember_00552628-4fab-4942-93a8-f81877176e6f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_32d0f81b-57f5-42c3-bb8a-3ae3915b3cac" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:to="loc_codi_VelocityOutdoorMember_32d0f81b-57f5-42c3-bb8a-3ae3915b3cac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_b09323db-caf3-47d5-8a7e-eee1ae0ffc12" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:to="loc_codi_BOAMember_b09323db-caf3-47d5-8a7e-eee1ae0ffc12" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_288f5e9c-293c-4d01-aa9d-968a3e0d2ca3" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:to="loc_codi_ArnoldMember_288f5e9c-293c-4d01-aa9d-968a3e0d2ca3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_FoamFabricatorsMember_6ab6f054-7cc7-41c6-87af-e500ad569db6" xlink:href="codi-20210331.xsd#codi_FoamFabricatorsMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_9b63a57d-fdc7-4ef7-8560-ab253dac390b" xlink:to="loc_codi_FoamFabricatorsMember_6ab6f054-7cc7-41c6-87af-e500ad569db6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_e1d7d2aa-df13-412f-a863-565efd377dac" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_e1d7d2aa-df13-412f-a863-565efd377dac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_398ffee0-d122-4595-a109-588b388e4f41" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_e1d7d2aa-df13-412f-a863-565efd377dac" xlink:to="loc_us-gaap_SegmentDomain_398ffee0-d122-4595-a109-588b388e4f41" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_232369a9-0f3b-409d-9ff3-e7b63e304d6a" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_398ffee0-d122-4595-a109-588b388e4f41" xlink:to="loc_codi_MarucciMemberMember_232369a9-0f3b-409d-9ff3-e7b63e304d6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_1c9b9602-784a-4cb4-9db9-ed496771fd25" xlink:to="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationStepAcquisitionInventoryRemeasurement_9dfe71c0-128e-4512-a776-369a39536b70" xlink:href="codi-20210331.xsd#codi_BusinessCombinationStepAcquisitionInventoryRemeasurement"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_codi_BusinessCombinationStepAcquisitionInventoryRemeasurement_9dfe71c0-128e-4512-a776-369a39536b70" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationIntegrationServicesPayable_30a5e034-9445-4cc4-96a9-970f562d2147" xlink:href="codi-20210331.xsd#codi_BusinessCombinationIntegrationServicesPayable"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_codi_BusinessCombinationIntegrationServicesPayable_30a5e034-9445-4cc4-96a9-970f562d2147" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_02a2e736-91a8-4f7b-a2a7-dd517b027452" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_us-gaap_Goodwill_02a2e736-91a8-4f7b-a2a7-dd517b027452" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_9eef21ba-98c7-40fc-9f59-429306428b54" xlink:href="codi-20210331.xsd#codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_9eef21ba-98c7-40fc-9f59-429306428b54" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_05663f80-f8d4-4416-badd-ae6e2a88d1cd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_05663f80-f8d4-4416-badd-ae6e2a88d1cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_31b78b05-1191-45e2-aa5c-f1a36b1f69d4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_31b78b05-1191-45e2-aa5c-f1a36b1f69d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationConsiderationTransferredIncreaseDecreaseinWorkingCapital_385a6134-0de4-49ef-9cbb-db8e48feeb56" xlink:href="codi-20210331.xsd#codi_BusinessCombinationConsiderationTransferredIncreaseDecreaseinWorkingCapital"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_codi_BusinessCombinationConsiderationTransferredIncreaseDecreaseinWorkingCapital_385a6134-0de4-49ef-9cbb-db8e48feeb56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationContingentConsiderationEarnoutProvisionFairValue_a1689ad4-ebb4-4e91-b0ec-12c863045232" xlink:href="codi-20210331.xsd#codi_BusinessCombinationContingentConsiderationEarnoutProvisionFairValue"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_codi_BusinessCombinationContingentConsiderationEarnoutProvisionFairValue_a1689ad4-ebb4-4e91-b0ec-12c863045232" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_7716b19b-706f-424d-9841-43850ea69387" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromLongTermLinesOfCredit"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_7716b19b-706f-424d-9841-43850ea69387" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquiredReceivablesEstimatedUncollectible_05b0d67b-eb03-486b-bd6e-68028e6118c5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationAcquiredReceivablesEstimatedUncollectible"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_us-gaap_BusinessCombinationAcquiredReceivablesEstimatedUncollectible_05b0d67b-eb03-486b-bd6e-68028e6118c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessAcquisitionPaymentThroughEquityInvestment_bd23b85b-c4c3-467c-aab1-b7616e0bb491" xlink:href="codi-20210331.xsd#codi_BusinessAcquisitionPaymentThroughEquityInvestment"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_156a17b8-b0c6-45ab-a77b-6e88f37d1e7e" xlink:to="loc_codi_BusinessAcquisitionPaymentThroughEquityInvestment_bd23b85b-c4c3-467c-aab1-b7616e0bb491" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/AcquisitionTables" xlink:type="simple" xlink:href="codi-20210331.xsd#AcquisitionTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/AcquisitionTables" xlink:type="extended"/>
  <link:roleRef roleURI="http://www.compasstrust.com/role/AcquisitionScheduleofAssetsAcquiredandLiabilitiesAssumedasoftheAcquisitionDateDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#AcquisitionScheduleofAssetsAcquiredandLiabilitiesAssumedasoftheAcquisitionDateDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/AcquisitionScheduleofAssetsAcquiredandLiabilitiesAssumedasoftheAcquisitionDateDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationsAbstract_c0ab58e3-98ec-4a5e-9c50-0b966d9838c7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_68d7f1da-c347-4305-9b01-e9aa075abb67" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationsAbstract_c0ab58e3-98ec-4a5e-9c50-0b966d9838c7" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_68d7f1da-c347-4305-9b01-e9aa075abb67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_6446ffce-f2f4-41ad-a014-bb8c4cca005b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_68d7f1da-c347-4305-9b01-e9aa075abb67" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_6446ffce-f2f4-41ad-a014-bb8c4cca005b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_59b5e502-cb17-4253-9397-05c46ce89ae6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_6446ffce-f2f4-41ad-a014-bb8c4cca005b" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_59b5e502-cb17-4253-9397-05c46ce89ae6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_d82a7db5-d3b9-4d8d-8d7a-8ce1421b4978" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_59b5e502-cb17-4253-9397-05c46ce89ae6" xlink:to="loc_codi_MarucciMemberMember_d82a7db5-d3b9-4d8d-8d7a-8ce1421b4978" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_0948059d-2749-4be6-b8d1-cc1019b71a0c" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_59b5e502-cb17-4253-9397-05c46ce89ae6" xlink:to="loc_codi_VelocityOutdoorMember_0948059d-2749-4be6-b8d1-cc1019b71a0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_59f89684-d229-4f11-9c72-1c2d511a5c7b" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_59b5e502-cb17-4253-9397-05c46ce89ae6" xlink:to="loc_codi_BOAMember_59f89684-d229-4f11-9c72-1c2d511a5c7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_c40502a9-15ec-48af-8512-b4b7bd4838ee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_68d7f1da-c347-4305-9b01-e9aa075abb67" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_c40502a9-15ec-48af-8512-b4b7bd4838ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_ddd0f6d8-9164-43f7-b8a0-5d8f71f30013" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_c40502a9-15ec-48af-8512-b4b7bd4838ee" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_ddd0f6d8-9164-43f7-b8a0-5d8f71f30013" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_3278753d-bfec-4dd2-b960-aadf5eb283d9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_ddd0f6d8-9164-43f7-b8a0-5d8f71f30013" xlink:to="loc_us-gaap_SubsequentEventMember_3278753d-bfec-4dd2-b960-aadf5eb283d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_68d7f1da-c347-4305-9b01-e9aa075abb67" xlink:to="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_3c50fb85-04f1-4629-83f9-587e31d35ef7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_3c50fb85-04f1-4629-83f9-587e31d35ef7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_609ab20f-acf9-4ff6-a6cc-cfdbab1a62b7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_3c50fb85-04f1-4629-83f9-587e31d35ef7" xlink:to="loc_us-gaap_Goodwill_609ab20f-acf9-4ff6-a6cc-cfdbab1a62b7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_5c74e033-1793-493c-8f29-dbe6a86d58e5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_5c74e033-1793-493c-8f29-dbe6a86d58e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_65111472-3102-460e-b822-7ee5ba57180f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_65111472-3102-460e-b822-7ee5ba57180f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_9c8989cb-b1a7-4578-9191-a4c84b6133ce" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_9c8989cb-b1a7-4578-9191-a4c84b6133ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_00f81351-6792-4dc4-91e6-f7d78ce48cf4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_00f81351-6792-4dc4-91e6-f7d78ce48cf4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesGross_f378f83e-6443-40f8-bb46-b5836a46221c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireBusinessesGross"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesGross_f378f83e-6443-40f8-bb46-b5836a46221c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquiredReceivablesGrossContractualAmount_63a12aac-9ab4-4b54-b273-8c5023600db9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationAcquiredReceivablesGrossContractualAmount"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationAcquiredReceivablesGrossContractualAmount_63a12aac-9ab4-4b54-b273-8c5023600db9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquiredReceivablesEstimatedUncollectible_6680178e-9602-4dd3-b53e-d16edba9c30f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationAcquiredReceivablesEstimatedUncollectible"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationAcquiredReceivablesEstimatedUncollectible_6680178e-9602-4dd3-b53e-d16edba9c30f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationStepAcquisitionInventoryRemeasurement_84bf123a-89f8-45f1-b99e-6be86ef45aa1" xlink:href="codi-20210331.xsd#codi_BusinessCombinationStepAcquisitionInventoryRemeasurement"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationStepAcquisitionInventoryRemeasurement_84bf123a-89f8-45f1-b99e-6be86ef45aa1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationStepAcquisitionInventoryAmortized_ce389bb9-a071-4a98-8de3-1c61a2122a7c" xlink:href="codi-20210331.xsd#codi_BusinessCombinationStepAcquisitionInventoryAmortized"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationStepAcquisitionInventoryAmortized_ce389bb9-a071-4a98-8de3-1c61a2122a7c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationStepAcquisitionPPERemeasurement_4854d52e-942c-4a63-af7d-fb2097007f6f" xlink:href="codi-20210331.xsd#codi_BusinessCombinationStepAcquisitionPPERemeasurement"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationStepAcquisitionPPERemeasurement_4854d52e-942c-4a63-af7d-fb2097007f6f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue_55123f12-fa96-4ac5-8e93-6214cc564d36" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue_55123f12-fa96-4ac5-8e93-6214cc564d36" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableRelatedParties_77199a75-7e73-4c73-a082-c0ac640d9387" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NotesReceivableRelatedParties"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_NotesReceivableRelatedParties_77199a75-7e73-4c73-a082-c0ac640d9387" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedOtherAssets_edca6d7d-4584-4ecd-9501-947b1413469b" xlink:href="codi-20210331.xsd#codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedOtherAssets"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedOtherAssets_edca6d7d-4584-4ecd-9501-947b1413469b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_d65a1385-6d76-4195-9254-fc403ca5e9aa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_d65a1385-6d76-4195-9254-fc403ca5e9aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_f9b40ba8-431c-4c6d-9bb7-5c7fa9c1e75f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_f9b40ba8-431c-4c6d-9bb7-5c7fa9c1e75f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_07d6a3e6-7122-4398-80d5-feee7a23c0bd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationConsiderationTransferredAbstract"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_07d6a3e6-7122-4398-80d5-feee7a23c0bd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_89fb77f9-4ce2-4af3-96d9-59019fa10087" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_89fb77f9-4ce2-4af3-96d9-59019fa10087" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities_94403406-5d6c-44cd-9f03-30fe34ecd3a2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities_94403406-5d6c-44cd-9f03-30fe34ecd3a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_246cc55a-078b-448d-8fe5-641e588571bf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_246cc55a-078b-448d-8fe5-641e588571bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedLiabilitiesAndNoncontrollingInterest_2d53ddf2-17fe-40b4-a684-29532b523e95" xlink:href="codi-20210331.xsd#codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedLiabilitiesAndNoncontrollingInterest"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedLiabilitiesAndNoncontrollingInterest_2d53ddf2-17fe-40b4-a684-29532b523e95" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillandLiabilitiesAssumedIncludingNoncontrollingInterest_65b29de9-fcc5-4f06-b0e7-6c72e9a36810" xlink:href="codi-20210331.xsd#codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillandLiabilitiesAssumedIncludingNoncontrollingInterest"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillandLiabilitiesAssumedIncludingNoncontrollingInterest_65b29de9-fcc5-4f06-b0e7-6c72e9a36810" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedNetIncludingRelatedPartyDebt_b5971f97-8c50-4e5d-83ed-4bcb3ed3b2f5" xlink:href="codi-20210331.xsd#codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedNetIncludingRelatedPartyDebt"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedNetIncludingRelatedPartyDebt_b5971f97-8c50-4e5d-83ed-4bcb3ed3b2f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAcquiredFromAcquisition_6f06d7f5-f203-42c0-bd2a-79dce6d32a68" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAcquiredFromAcquisition"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_CashAcquiredFromAcquisition_6f06d7f5-f203-42c0-bd2a-79dce6d32a68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationConsiderationTransferredIncreaseDecreaseinWorkingCapital_6c8d2e19-8bb2-448f-9410-aebf190fb41b" xlink:href="codi-20210331.xsd#codi_BusinessCombinationConsiderationTransferredIncreaseDecreaseinWorkingCapital"/>
    <link:presentationArc order="25" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_BusinessCombinationConsiderationTransferredIncreaseDecreaseinWorkingCapital_6c8d2e19-8bb2-448f-9410-aebf190fb41b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredOther1_2a352356-e829-460a-8034-6bb348999c23" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationConsiderationTransferredOther1"/>
    <link:presentationArc order="26" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredOther1_2a352356-e829-460a-8034-6bb348999c23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_f8775b5b-d476-4e1e-9ba7-644c99448427" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired"/>
    <link:presentationArc order="27" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_f8775b5b-d476-4e1e-9ba7-644c99448427" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_b44a6ea5-a0f0-4e38-a1f3-6628429e9f30" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:presentationArc order="28" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_b44a6ea5-a0f0-4e38-a1f3-6628429e9f30" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_c9fba0d2-7c13-4a2f-bd50-dba37e4ab7cc" xlink:href="codi-20210331.xsd#codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts"/>
    <link:presentationArc order="29" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_c9fba0d2-7c13-4a2f-bd50-dba37e4ab7cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities_f9a058f6-c2a8-4319-ad08-33fb07c81b3b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities"/>
    <link:presentationArc order="30" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_605d9f07-4133-43e7-b976-823435343bb8" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities_f9a058f6-c2a8-4319-ad08-33fb07c81b3b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/AcquisitionScheduleofIntangibleAssetsRecordedasPartofAcquisitionDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#AcquisitionScheduleofIntangibleAssetsRecordedasPartofAcquisitionDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/AcquisitionScheduleofIntangibleAssetsRecordedasPartofAcquisitionDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationsAbstract_cba2011b-743a-496f-9f6b-51549b9893d4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTable_fdfb587e-0247-4130-8185-be388d3649c9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationsAbstract_cba2011b-743a-496f-9f6b-51549b9893d4" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTable_fdfb587e-0247-4130-8185-be388d3649c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_4c846766-8185-4496-ab62-906a4fc986ba" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTable_fdfb587e-0247-4130-8185-be388d3649c9" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_4c846766-8185-4496-ab62-906a4fc986ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e6d40e02-8bb0-4c68-9ce2-5ab4b4b8ca9f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_4c846766-8185-4496-ab62-906a4fc986ba" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e6d40e02-8bb0-4c68-9ce2-5ab4b4b8ca9f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_e8c2287e-3398-4c83-9d6b-e1af3bd77bb2" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e6d40e02-8bb0-4c68-9ce2-5ab4b4b8ca9f" xlink:to="loc_codi_MarucciMemberMember_e8c2287e-3398-4c83-9d6b-e1af3bd77bb2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_1042739d-e158-44c3-87d9-8b122a158eba" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e6d40e02-8bb0-4c68-9ce2-5ab4b4b8ca9f" xlink:to="loc_codi_VelocityOutdoorMember_1042739d-e158-44c3-87d9-8b122a158eba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_27986567-0715-4dfe-84ad-891326cfa28e" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e6d40e02-8bb0-4c68-9ce2-5ab4b4b8ca9f" xlink:to="loc_codi_BOAMember_27986567-0715-4dfe-84ad-891326cfa28e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_fe75ffdc-34d6-425a-9852-0369b4c1b26a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTable_fdfb587e-0247-4130-8185-be388d3649c9" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_fe75ffdc-34d6-425a-9852-0369b4c1b26a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_60bc667d-bc5b-4d8b-b2e8-2380ded3ce49" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_fe75ffdc-34d6-425a-9852-0369b4c1b26a" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_60bc667d-bc5b-4d8b-b2e8-2380ded3ce49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_6c722a7d-4272-43b6-a70e-96965a4bdf09" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_60bc667d-bc5b-4d8b-b2e8-2380ded3ce49" xlink:to="loc_us-gaap_TradeNamesMember_6c722a7d-4272-43b6-a70e-96965a4bdf09" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CustomerRelationshipsMember_fabda232-a18c-40e8-a5ad-280626fe7353" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CustomerRelationshipsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_60bc667d-bc5b-4d8b-b2e8-2380ded3ce49" xlink:to="loc_us-gaap_CustomerRelationshipsMember_fabda232-a18c-40e8-a5ad-280626fe7353" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TechnologyBasedIntangibleAssetsMember_c4631dfe-ffb9-4e76-a32f-254db1e11e26" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TechnologyBasedIntangibleAssetsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_60bc667d-bc5b-4d8b-b2e8-2380ded3ce49" xlink:to="loc_us-gaap_TechnologyBasedIntangibleAssetsMember_c4631dfe-ffb9-4e76-a32f-254db1e11e26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InProcessResearchAndDevelopmentMember_2c277139-7172-45b4-bc6f-71adc465198e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InProcessResearchAndDevelopmentMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_60bc667d-bc5b-4d8b-b2e8-2380ded3ce49" xlink:to="loc_us-gaap_InProcessResearchAndDevelopmentMember_2c277139-7172-45b4-bc6f-71adc465198e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems_19761d4d-f76d-450c-b9fa-b346d4781ceb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTable_fdfb587e-0247-4130-8185-be388d3649c9" xlink:to="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems_19761d4d-f76d-450c-b9fa-b346d4781ceb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinitelivedIntangibleAssetsAcquired1_9b7f2fd2-69d3-40e1-9798-652e9c816f76" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FinitelivedIntangibleAssetsAcquired1"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems_19761d4d-f76d-450c-b9fa-b346d4781ceb" xlink:to="loc_us-gaap_FinitelivedIntangibleAssetsAcquired1_9b7f2fd2-69d3-40e1-9798-652e9c816f76" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife_33d9aff8-e8a4-4c6e-92ed-65615baf1bec" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems_19761d4d-f76d-450c-b9fa-b346d4781ceb" xlink:to="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife_33d9aff8-e8a4-4c6e-92ed-65615baf1bec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_f4413486-28d1-4c9c-92c0-c2e693e9fada" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems_19761d4d-f76d-450c-b9fa-b346d4781ceb" xlink:to="loc_us-gaap_Goodwill_f4413486-28d1-4c9c-92c0-c2e693e9fada" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/AcquisitionProFormaInformationDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#AcquisitionProFormaInformationDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/AcquisitionProFormaInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationsAbstract_9ac20ce8-b6e9-48d8-9ad3-051875cc52eb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_86b9dccc-4553-429e-aa21-dde36ceb8c33" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationsAbstract_9ac20ce8-b6e9-48d8-9ad3-051875cc52eb" xlink:to="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_86b9dccc-4553-429e-aa21-dde36ceb8c33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_e5fcdbec-5f85-4284-91d4-3ebd9ba92ee3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_86b9dccc-4553-429e-aa21-dde36ceb8c33" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_e5fcdbec-5f85-4284-91d4-3ebd9ba92ee3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_47dd6ea9-e4fd-4ed7-9b99-a0ad0eb63a0c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_e5fcdbec-5f85-4284-91d4-3ebd9ba92ee3" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_47dd6ea9-e4fd-4ed7-9b99-a0ad0eb63a0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_41dd4c68-e0ad-45be-a359-e507b896a84c" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_47dd6ea9-e4fd-4ed7-9b99-a0ad0eb63a0c" xlink:to="loc_codi_MarucciMemberMember_41dd4c68-e0ad-45be-a359-e507b896a84c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciBoaMember_38427b1d-9766-4012-9523-7aa718187faf" xlink:href="codi-20210331.xsd#codi_MarucciBoaMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_47dd6ea9-e4fd-4ed7-9b99-a0ad0eb63a0c" xlink:to="loc_codi_MarucciBoaMember_38427b1d-9766-4012-9523-7aa718187faf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_86b9dccc-4553-429e-aa21-dde36ceb8c33" xlink:to="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaRevenue_745674fd-a731-4099-aa61-398087dfecde" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionsProFormaRevenue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:to="loc_us-gaap_BusinessAcquisitionsProFormaRevenue_745674fd-a731-4099-aa61-398087dfecde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_7064ee28-2177-418f-acfe-bdd8565afe95" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:to="loc_us-gaap_NetIncomeLoss_7064ee28-2177-418f-acfe-bdd8565afe95" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessAcquisitionProFormaGrossProfit_158a1375-9daf-49e3-99be-4fdddf72a521" xlink:href="codi-20210331.xsd#codi_BusinessAcquisitionProFormaGrossProfit"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:to="loc_codi_BusinessAcquisitionProFormaGrossProfit_158a1375-9daf-49e3-99be-4fdddf72a521" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaIncomeLossFromContinuingOperationsBeforeChangesInAccountingAndExtraordinaryItemsNetOfTax_d0b67518-6012-45c9-b8e5-f149b06f7fe9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionsProFormaIncomeLossFromContinuingOperationsBeforeChangesInAccountingAndExtraordinaryItemsNetOfTax"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:to="loc_us-gaap_BusinessAcquisitionsProFormaIncomeLossFromContinuingOperationsBeforeChangesInAccountingAndExtraordinaryItemsNetOfTax_d0b67518-6012-45c9-b8e5-f149b06f7fe9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_64e2baf5-406e-42de-8b0f-97eb118e26ad" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:to="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_64e2baf5-406e-42de-8b0f-97eb118e26ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic_35429050-33b5-4cea-85b1-529d438eec80" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_f466ecbf-da98-4f81-9caf-808edfdde54d" xlink:to="loc_us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic_35429050-33b5-4cea-85b1-529d438eec80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/Revenue" xlink:type="simple" xlink:href="codi-20210331.xsd#Revenue"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/Revenue" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerAbstract_e3695d3c-ada4-4725-b868-e0fd95434176" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerTextBlock_73514646-2631-400c-bf98-d797a41d221f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RevenueFromContractWithCustomerAbstract_e3695d3c-ada4-4725-b868-e0fd95434176" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerTextBlock_73514646-2631-400c-bf98-d797a41d221f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/RevenueTables" xlink:type="simple" xlink:href="codi-20210331.xsd#RevenueTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/RevenueTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerAbstract_3cfe52b3-223d-44f5-89ad-6a89172c61a8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisaggregationOfRevenueTableTextBlock_4a147e2e-9bec-40b2-97ad-05c0118bdbf3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisaggregationOfRevenueTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RevenueFromContractWithCustomerAbstract_3cfe52b3-223d-44f5-89ad-6a89172c61a8" xlink:to="loc_us-gaap_DisaggregationOfRevenueTableTextBlock_4a147e2e-9bec-40b2-97ad-05c0118bdbf3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/RevenueDisaggregationofRevenueDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#RevenueDisaggregationofRevenueDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/RevenueDisaggregationofRevenueDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerAbstract_23f5e29d-0637-42ab-9131-568f08cf1ecc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisaggregationOfRevenueTable_54633986-1d5a-4cb7-8158-3f845fea235b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisaggregationOfRevenueTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RevenueFromContractWithCustomerAbstract_23f5e29d-0637-42ab-9131-568f08cf1ecc" xlink:to="loc_us-gaap_DisaggregationOfRevenueTable_54633986-1d5a-4cb7-8158-3f845fea235b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis_75f7d20e-8973-4955-b05a-f663a427bfcf" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_StatementGeographicalAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisaggregationOfRevenueTable_54633986-1d5a-4cb7-8158-3f845fea235b" xlink:to="loc_srt_StatementGeographicalAxis_75f7d20e-8973-4955-b05a-f663a427bfcf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_SegmentGeographicalDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementGeographicalAxis_75f7d20e-8973-4955-b05a-f663a427bfcf" xlink:to="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_country_US_26b4f6e8-daa8-416d-8374-6a81bdd6da7f" xlink:href="https://xbrl.sec.gov/country/2020/country-2020-01-31.xsd#country_US"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:to="loc_country_US_26b4f6e8-daa8-416d-8374-6a81bdd6da7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_country_CA_3dfe6a5f-2e29-497a-b8c6-fe0377dbd3bf" xlink:href="https://xbrl.sec.gov/country/2020/country-2020-01-31.xsd#country_CA"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:to="loc_country_CA_3dfe6a5f-2e29-497a-b8c6-fe0377dbd3bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EuropeMember_9e52dbea-7bfd-4be0-9893-d15d6c56b2de" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_EuropeMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:to="loc_srt_EuropeMember_9e52dbea-7bfd-4be0-9893-d15d6c56b2de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_AsiaPacificMember_27564ba8-1390-4e84-ae4d-433c97311a33" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_AsiaPacificMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:to="loc_srt_AsiaPacificMember_27564ba8-1390-4e84-ae4d-433c97311a33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_OtherInternationalMember_6ab33fa8-bf78-4db7-b2b9-8bdf7400cdff" xlink:href="codi-20210331.xsd#codi_OtherInternationalMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_788cca2f-48d5-457b-bc6f-b3dffc69788a" xlink:to="loc_codi_OtherInternationalMember_6ab33fa8-bf78-4db7-b2b9-8bdf7400cdff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_8c36e602-7506-40ac-8a85-0d8261313b84" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisaggregationOfRevenueTable_54633986-1d5a-4cb7-8158-3f845fea235b" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_8c36e602-7506-40ac-8a85-0d8261313b84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_8c36e602-7506-40ac-8a85-0d8261313b84" xlink:to="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_d6d4159d-7787-4e43-8362-558319832e96" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_A5.11TacticalMember_d6d4159d-7787-4e43-8362-558319832e96" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgoMember_e6c0cd61-2067-438a-8c9e-0ae828c92de1" xlink:href="codi-20210331.xsd#codi_ErgoMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_ErgoMember_e6c0cd61-2067-438a-8c9e-0ae828c92de1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_eb660176-f159-4956-a59c-02afc8dbde79" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_LibertyMember_eb660176-f159-4956-a59c-02afc8dbde79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_d11769ef-3fa6-4105-b2b9-13729f2a7672" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_MarucciMemberMember_d11769ef-3fa6-4105-b2b9-13729f2a7672" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_265435a1-e869-4546-8476-1321ad30b6b2" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_VelocityOutdoorMember_265435a1-e869-4546-8476-1321ad30b6b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_f95e29bb-c163-413c-bb6c-f2303bcb57ae" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_AciMember_f95e29bb-c163-413c-bb6c-f2303bcb57ae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_083da56f-9744-48bc-ab53-4a0a092124ac" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_ArnoldMember_083da56f-9744-48bc-ab53-4a0a092124ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_acbe2389-81d9-4921-916f-e6c8aecef7bd" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_SternoProductsMember_acbe2389-81d9-4921-916f-e6c8aecef7bd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_41533dd7-7ff6-4a8e-81dd-c2fe37a41c1a" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_BOAMember_41533dd7-7ff6-4a8e-81dd-c2fe37a41c1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_e2bc07ff-5e50-460c-9722-0bec5ce57061" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_fe2c5682-e573-4f06-a9c8-b5a7f4a981a5" xlink:to="loc_codi_AltorMember_e2bc07ff-5e50-460c-9722-0bec5ce57061" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisaggregationOfRevenueLineItems_b0e96396-17f7-4aac-b879-72b5338279ef" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisaggregationOfRevenueLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisaggregationOfRevenueTable_54633986-1d5a-4cb7-8158-3f845fea235b" xlink:to="loc_us-gaap_DisaggregationOfRevenueLineItems_b0e96396-17f7-4aac-b879-72b5338279ef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_1e4259d3-7461-4c7d-aec3-2c56cbb89e09" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisaggregationOfRevenueLineItems_b0e96396-17f7-4aac-b879-72b5338279ef" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_1e4259d3-7461-4c7d-aec3-2c56cbb89e09" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/OperatingSegmentData" xlink:type="simple" xlink:href="codi-20210331.xsd#OperatingSegmentData"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/OperatingSegmentData" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_cdcc0d00-5e0d-4be6-bdcc-60b77447a29c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingDisclosureTextBlock_2f894962-f3e5-44cc-8b45-57e047ade38b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_cdcc0d00-5e0d-4be6-bdcc-60b77447a29c" xlink:to="loc_us-gaap_SegmentReportingDisclosureTextBlock_2f894962-f3e5-44cc-8b45-57e047ade38b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/OperatingSegmentDataTables" xlink:type="simple" xlink:href="codi-20210331.xsd#OperatingSegmentDataTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/OperatingSegmentDataTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_90d79f43-f42a-4456-a843-28f47f949619" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTextBlock_67e275a5-abfc-457c-91e4-6f1336c8213e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_90d79f43-f42a-4456-a843-28f47f949619" xlink:to="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTextBlock_67e275a5-abfc-457c-91e4-6f1336c8213e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock_c06a91db-b56c-4474-9fd8-3e9efb980e7a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_90d79f43-f42a-4456-a843-28f47f949619" xlink:to="loc_us-gaap_ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock_c06a91db-b56c-4474-9fd8-3e9efb980e7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTextBlock_8027cea2-040f-4690-b64b-ea315a7901d5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_90d79f43-f42a-4456-a843-28f47f949619" xlink:to="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTextBlock_8027cea2-040f-4690-b64b-ea315a7901d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/OperatingSegmentDataAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#OperatingSegmentDataAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/OperatingSegmentDataAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_1a387238-f81e-46ab-bf9e-8ea09c663fb8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_1a387238-f81e-46ab-bf9e-8ea09c663fb8" xlink:to="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsAxis_d2f0bee3-9caf-4762-8ac9-572d0105845b" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:to="loc_srt_ConsolidationItemsAxis_d2f0bee3-9caf-4762-8ac9-572d0105845b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsDomain_e72028d3-d618-4547-877d-8cf848d8b50f" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsAxis_d2f0bee3-9caf-4762-8ac9-572d0105845b" xlink:to="loc_srt_ConsolidationItemsDomain_e72028d3-d618-4547-877d-8cf848d8b50f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingSegmentsMember_c1ba1a70-a486-4311-a70a-039ca0f4e361" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingSegmentsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_e72028d3-d618-4547-877d-8cf848d8b50f" xlink:to="loc_us-gaap_OperatingSegmentsMember_c1ba1a70-a486-4311-a70a-039ca0f4e361" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MaterialReconcilingItemsMember_aa37a690-5aff-459e-815a-ab2054ebabe2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MaterialReconcilingItemsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_e72028d3-d618-4547-877d-8cf848d8b50f" xlink:to="loc_us-gaap_MaterialReconcilingItemsMember_aa37a690-5aff-459e-815a-ab2054ebabe2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeographicDistributionAxis_a8f2679b-4dcb-404c-8c44-b3fa83abc7ed" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GeographicDistributionAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:to="loc_us-gaap_GeographicDistributionAxis_a8f2679b-4dcb-404c-8c44-b3fa83abc7ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeographicDistributionDomain_e73d3aa6-66ba-4afa-8f3d-98df417b4411" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GeographicDistributionDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GeographicDistributionAxis_a8f2679b-4dcb-404c-8c44-b3fa83abc7ed" xlink:to="loc_us-gaap_GeographicDistributionDomain_e73d3aa6-66ba-4afa-8f3d-98df417b4411" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeographicDistributionForeignMember_46716307-ea7f-4c9c-b170-86cfc32af8d4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GeographicDistributionForeignMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GeographicDistributionDomain_e73d3aa6-66ba-4afa-8f3d-98df417b4411" xlink:to="loc_us-gaap_GeographicDistributionForeignMember_46716307-ea7f-4c9c-b170-86cfc32af8d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_f7d9477a-fd33-47ef-a997-dcff22445cb7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_f7d9477a-fd33-47ef-a997-dcff22445cb7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_f7d9477a-fd33-47ef-a997-dcff22445cb7" xlink:to="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_cc8a129e-284d-4e14-885a-5aca88d00e2c" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_A5.11TacticalMember_cc8a129e-284d-4e14-885a-5aca88d00e2c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_81357508-9535-4618-95e3-c3697743cf12" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_ErgobabyMember_81357508-9535-4618-95e3-c3697743cf12" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_e19d1ed3-8920-4323-b7b3-0ccf5e5a8840" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_LibertyMember_e19d1ed3-8920-4323-b7b3-0ccf5e5a8840" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_b7899e29-2e59-4645-8648-37d336bb55b4" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_VelocityOutdoorMember_b7899e29-2e59-4645-8648-37d336bb55b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_61c0b7bb-45f0-4c23-9f1c-cf7b4f166a7a" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_AciMember_61c0b7bb-45f0-4c23-9f1c-cf7b4f166a7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMagneticsMember_c94b16bd-8ff4-433c-8dcb-817e379fc2c4" xlink:href="codi-20210331.xsd#codi_ArnoldMagneticsMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_ArnoldMagneticsMember_c94b16bd-8ff4-433c-8dcb-817e379fc2c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_376cae43-3e4e-4a83-a7b3-0803994073c5" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_SternoProductsMember_376cae43-3e4e-4a83-a7b3-0803994073c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_a3d94053-b8fe-4021-9c31-cda3ff9fcae7" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_7015cab6-e056-4bcd-8594-d02c9a4108e3" xlink:to="loc_codi_AltorMember_a3d94053-b8fe-4021-9c31-cda3ff9fcae7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_acd541e8-f138-4f60-90da-5352e8bbdf22" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:to="loc_srt_RangeAxis_acd541e8-f138-4f60-90da-5352e8bbdf22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_0cfc492c-c0c7-40d4-a950-625edca0172a" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_acd541e8-f138-4f60-90da-5352e8bbdf22" xlink:to="loc_srt_RangeMember_0cfc492c-c0c7-40d4-a950-625edca0172a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_dd5a592d-cc91-43ae-9ad9-01fb7e2b6b2a" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_0cfc492c-c0c7-40d4-a950-625edca0172a" xlink:to="loc_srt_MinimumMember_dd5a592d-cc91-43ae-9ad9-01fb7e2b6b2a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_0256e36b-0308-45cf-9d58-61e9f787b75d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:to="loc_us-gaap_DebtInstrumentAxis_0256e36b-0308-45cf-9d58-61e9f787b75d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_1c0980ea-b97d-47d5-9f2d-99afa498f2cb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_0256e36b-0308-45cf-9d58-61e9f787b75d" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_1c0980ea-b97d-47d5-9f2d-99afa498f2cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_ad3c0624-1310-4a4f-98dc-db4a4733afdb" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_1c0980ea-b97d-47d5-9f2d-99afa498f2cb" xlink:to="loc_codi_Seniornotesdue2026Member_ad3c0624-1310-4a4f-98dc-db4a4733afdb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingInformationLineItems"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_a32a2567-b683-4258-98f2-f05e87bef3b7" xlink:to="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAndAmortization_95281c39-3d1d-4d24-92c4-6930a931087f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DepreciationAndAmortization"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_us-gaap_DepreciationAndAmortization_95281c39-3d1d-4d24-92c4-6930a931087f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfReportableSegments_2b1febbe-b732-4ea0-b6a0-75c394b7577e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NumberOfReportableSegments"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_us-gaap_NumberOfReportableSegments_2b1febbe-b732-4ea0-b6a0-75c394b7577e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskPercentage1_af3fb6f6-3155-40a5-a16f-d7a49f495b23" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConcentrationRiskPercentage1"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_us-gaap_ConcentrationRiskPercentage1_af3fb6f6-3155-40a5-a16f-d7a49f495b23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ManufacturingFacilityArea_b9bb7f2e-f108-481b-b205-f596933eaea7" xlink:href="codi-20210331.xsd#codi_ManufacturingFacilityArea"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_codi_ManufacturingFacilityArea_b9bb7f2e-f108-481b-b205-f596933eaea7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NumberOfClients_5bd88b9d-4980-42aa-a7fd-8e9da8fe286b" xlink:href="codi-20210331.xsd#codi_NumberOfClients"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_codi_NumberOfClients_5bd88b9d-4980-42aa-a7fd-8e9da8fe286b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NumberOfManufacturingFacilities_dbb78a39-247e-43b9-a86b-565542d811e2" xlink:href="codi-20210331.xsd#codi_NumberOfManufacturingFacilities"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_codi_NumberOfManufacturingFacilities_dbb78a39-247e-43b9-a86b-565542d811e2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ProceedsHeldInEscrow_3a96cda5-f8f0-4d1d-aa19-675797add5d2" xlink:href="codi-20210331.xsd#codi_ProceedsHeldInEscrow"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_608cf499-714d-4630-9c71-ab9221b6bb23" xlink:to="loc_codi_ProceedsHeldInEscrow_3a96cda5-f8f0-4d1d-aa19-675797add5d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/OperatingSegmentDataSummaryofNetSalesofOperatingSegmentsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#OperatingSegmentDataSummaryofNetSalesofOperatingSegmentsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/OperatingSegmentDataSummaryofNetSalesofOperatingSegmentsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_bd22e7db-5315-4040-860d-81e409367302" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_08be8f60-d7b1-47c1-95b2-ed41e5884250" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_bd22e7db-5315-4040-860d-81e409367302" xlink:to="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_08be8f60-d7b1-47c1-95b2-ed41e5884250" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsAxis_970913c9-37f9-4322-8457-44c5e762f84e" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_08be8f60-d7b1-47c1-95b2-ed41e5884250" xlink:to="loc_srt_ConsolidationItemsAxis_970913c9-37f9-4322-8457-44c5e762f84e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsDomain_a909b96b-6bec-4d98-a826-addcb33efd76" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsAxis_970913c9-37f9-4322-8457-44c5e762f84e" xlink:to="loc_srt_ConsolidationItemsDomain_a909b96b-6bec-4d98-a826-addcb33efd76" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingSegmentsMember_1862baa0-e14f-4e36-ad7f-dbf879760f6c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingSegmentsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_a909b96b-6bec-4d98-a826-addcb33efd76" xlink:to="loc_us-gaap_OperatingSegmentsMember_1862baa0-e14f-4e36-ad7f-dbf879760f6c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MaterialReconcilingItemsMember_9c8606e2-3079-4252-895e-ce93132f7de5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MaterialReconcilingItemsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_a909b96b-6bec-4d98-a826-addcb33efd76" xlink:to="loc_us-gaap_MaterialReconcilingItemsMember_9c8606e2-3079-4252-895e-ce93132f7de5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_87684e11-53d1-416e-a905-32c7c27a8a45" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_08be8f60-d7b1-47c1-95b2-ed41e5884250" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_87684e11-53d1-416e-a905-32c7c27a8a45" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_87684e11-53d1-416e-a905-32c7c27a8a45" xlink:to="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_07c7fe6b-38a5-4353-a0d4-4f1885568c80" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_A5.11TacticalMember_07c7fe6b-38a5-4353-a0d4-4f1885568c80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_b03f40f8-2cb6-4a37-b83e-89c633d1b732" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_ErgobabyMember_b03f40f8-2cb6-4a37-b83e-89c633d1b732" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_6ab584ca-e7c1-4e49-b31a-901b801f95cb" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_LibertyMember_6ab584ca-e7c1-4e49-b31a-901b801f95cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_af1948ed-649c-4694-bbfe-5161224debcd" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_MarucciMemberMember_af1948ed-649c-4694-bbfe-5161224debcd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_8829df53-60ff-4399-8088-33dab3cc1c01" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_VelocityOutdoorMember_8829df53-60ff-4399-8088-33dab3cc1c01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_9ba6c8f9-270f-4267-a027-1ccc232f0a00" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_AciMember_9ba6c8f9-270f-4267-a027-1ccc232f0a00" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMagneticsMember_2bc42f59-fd10-4bbd-bb8b-d2b0538f6101" xlink:href="codi-20210331.xsd#codi_ArnoldMagneticsMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_ArnoldMagneticsMember_2bc42f59-fd10-4bbd-bb8b-d2b0538f6101" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_76082a29-09aa-4412-b03f-697058cb279d" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_SternoProductsMember_76082a29-09aa-4412-b03f-697058cb279d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoCandleLampMember_9181b35a-828f-4980-848c-d71410bd2a08" xlink:href="codi-20210331.xsd#codi_SternoCandleLampMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_SternoCandleLampMember_9181b35a-828f-4980-848c-d71410bd2a08" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateAndOtherMember_cd56f792-6951-419c-9201-381ae11f03fa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CorporateAndOtherMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_us-gaap_CorporateAndOtherMember_cd56f792-6951-419c-9201-381ae11f03fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_c012a9c5-642b-48fa-b3bf-a6604dba4321" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_BOAMember_c012a9c5-642b-48fa-b3bf-a6604dba4321" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_c8b1d123-3b7c-4bc1-8a64-39b516c0ccbb" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_6e7a6f3e-7a42-4060-a119-8311519f3c67" xlink:to="loc_codi_AltorMember_c8b1d123-3b7c-4bc1-8a64-39b516c0ccbb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_cd19625d-1e73-4923-95d7-ee7638f38343" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingRevenueReconcilingItemLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_08be8f60-d7b1-47c1-95b2-ed41e5884250" xlink:to="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_cd19625d-1e73-4923-95d7-ee7638f38343" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_83a58300-1b74-4391-8a0e-b9901f28b323" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_cd19625d-1e73-4923-95d7-ee7638f38343" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_83a58300-1b74-4391-8a0e-b9901f28b323" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/OperatingSegmentDataSummaryofProfitLossofOperatingSegmentsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#OperatingSegmentDataSummaryofProfitLossofOperatingSegmentsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/OperatingSegmentDataSummaryofProfitLossofOperatingSegmentsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_f1c12484-aed8-4ef9-a60e-d2ff641036cf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_d8ca4d4f-c353-4f29-acb6-f87babffee66" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_f1c12484-aed8-4ef9-a60e-d2ff641036cf" xlink:to="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_d8ca4d4f-c353-4f29-acb6-f87babffee66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsAxis_b7c8d14b-cc12-4c35-a2a4-71f233d35306" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_d8ca4d4f-c353-4f29-acb6-f87babffee66" xlink:to="loc_srt_ConsolidationItemsAxis_b7c8d14b-cc12-4c35-a2a4-71f233d35306" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsDomain_e63a3545-2fdc-4d29-9811-e0bfae459fba" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsAxis_b7c8d14b-cc12-4c35-a2a4-71f233d35306" xlink:to="loc_srt_ConsolidationItemsDomain_e63a3545-2fdc-4d29-9811-e0bfae459fba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingSegmentsMember_70e179a0-99c8-4bb7-ac18-26228d15867e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingSegmentsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_e63a3545-2fdc-4d29-9811-e0bfae459fba" xlink:to="loc_us-gaap_OperatingSegmentsMember_70e179a0-99c8-4bb7-ac18-26228d15867e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MaterialReconcilingItemsMember_a832d180-609f-4027-b8eb-3e0b6a86fbe5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MaterialReconcilingItemsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_e63a3545-2fdc-4d29-9811-e0bfae459fba" xlink:to="loc_us-gaap_MaterialReconcilingItemsMember_a832d180-609f-4027-b8eb-3e0b6a86fbe5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_2316c299-48f5-44d8-8735-2f8a93de9588" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_d8ca4d4f-c353-4f29-acb6-f87babffee66" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_2316c299-48f5-44d8-8735-2f8a93de9588" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_2316c299-48f5-44d8-8735-2f8a93de9588" xlink:to="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_2496fd2b-d958-42e9-afdd-a6adc5f65c7f" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_A5.11TacticalMember_2496fd2b-d958-42e9-afdd-a6adc5f65c7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_e7c93381-bba5-4fb9-926f-66fef7d72ba2" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_ErgobabyMember_e7c93381-bba5-4fb9-926f-66fef7d72ba2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_0b1493bd-81f8-4334-a0b9-c08e76f2c347" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_LibertyMember_0b1493bd-81f8-4334-a0b9-c08e76f2c347" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_e2b7acaa-4fb0-41e0-a749-3542d72fde73" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_MarucciMemberMember_e2b7acaa-4fb0-41e0-a749-3542d72fde73" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_8fbfa1fc-3505-4e4a-9ba5-a1c6bf7383a6" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_VelocityOutdoorMember_8fbfa1fc-3505-4e4a-9ba5-a1c6bf7383a6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_00e2c4e9-1e69-4129-878b-87c30cdaefe0" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_AciMember_00e2c4e9-1e69-4129-878b-87c30cdaefe0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMagneticsMember_f3c15ab7-794d-4804-9bde-a2b6a2b4b921" xlink:href="codi-20210331.xsd#codi_ArnoldMagneticsMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_ArnoldMagneticsMember_f3c15ab7-794d-4804-9bde-a2b6a2b4b921" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_bdaf9fd5-8d3b-4029-8e51-4b63a2b80c2b" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_SternoProductsMember_bdaf9fd5-8d3b-4029-8e51-4b63a2b80c2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoCandleLampMember_b355ea23-a5f6-4ba8-a2ea-440e251bfde8" xlink:href="codi-20210331.xsd#codi_SternoCandleLampMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_SternoCandleLampMember_b355ea23-a5f6-4ba8-a2ea-440e251bfde8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateAndOtherMember_b7858cd6-c43c-4576-98d1-6b4a384c2adf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CorporateAndOtherMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_us-gaap_CorporateAndOtherMember_b7858cd6-c43c-4576-98d1-6b4a384c2adf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_e63ce77f-26bc-4ceb-bc87-486cf188020f" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_BOAMember_e63ce77f-26bc-4ceb-bc87-486cf188020f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_20480ebf-0fff-4c7e-959c-8a7a3d85b8bb" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_14cba931-9e2e-47a7-8537-553d8b3f1a2d" xlink:to="loc_codi_AltorMember_20480ebf-0fff-4c7e-959c-8a7a3d85b8bb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_8395e850-da9a-4905-97cb-ad9239f8be22" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingRevenueReconcilingItemLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfRevenueFromSegmentsToConsolidatedTable_d8ca4d4f-c353-4f29-acb6-f87babffee66" xlink:to="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_8395e850-da9a-4905-97cb-ad9239f8be22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_ad9a6506-1df0-4cd2-a2e9-95e13f8779bc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_8395e850-da9a-4905-97cb-ad9239f8be22" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_ad9a6506-1df0-4cd2-a2e9-95e13f8779bc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpense_b3ea6e15-bca5-48d9-a2fe-02f281b50dda" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestExpense"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_8395e850-da9a-4905-97cb-ad9239f8be22" xlink:to="loc_us-gaap_InterestExpense_b3ea6e15-bca5-48d9-a2fe-02f281b50dda" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_27f475ba-7b3a-4c9b-aac7-b1c60e1f25f9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingRevenueReconcilingItemLineItems_8395e850-da9a-4905-97cb-ad9239f8be22" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_27f475ba-7b3a-4c9b-aac7-b1c60e1f25f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/OperatingSegmentDataSummaryofDepreciationGoodwillandIdentifiableAssetsofOperatingSegmentsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#OperatingSegmentDataSummaryofDepreciationGoodwillandIdentifiableAssetsofOperatingSegmentsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/OperatingSegmentDataSummaryofDepreciationGoodwillandIdentifiableAssetsofOperatingSegmentsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_16a55d26-9877-4ec6-955e-1bc7e06ab05f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable_5b4d72f0-f0fd-454a-8eab-911c2617cc15" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_16a55d26-9877-4ec6-955e-1bc7e06ab05f" xlink:to="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable_5b4d72f0-f0fd-454a-8eab-911c2617cc15" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsAxis_f4533e15-0b18-4fad-9df5-b04074b1b974" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable_5b4d72f0-f0fd-454a-8eab-911c2617cc15" xlink:to="loc_srt_ConsolidationItemsAxis_f4533e15-0b18-4fad-9df5-b04074b1b974" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsDomain_7a9cd12d-b2e6-45f5-8f98-830fd5d6b073" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsAxis_f4533e15-0b18-4fad-9df5-b04074b1b974" xlink:to="loc_srt_ConsolidationItemsDomain_7a9cd12d-b2e6-45f5-8f98-830fd5d6b073" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingSegmentsMember_51f86721-7a11-4cc1-a5bf-d296316320c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingSegmentsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_7a9cd12d-b2e6-45f5-8f98-830fd5d6b073" xlink:to="loc_us-gaap_OperatingSegmentsMember_51f86721-7a11-4cc1-a5bf-d296316320c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MaterialReconcilingItemsMember_7f0ed875-71c4-4ee3-920f-960910df3ef8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MaterialReconcilingItemsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_7a9cd12d-b2e6-45f5-8f98-830fd5d6b073" xlink:to="loc_us-gaap_MaterialReconcilingItemsMember_7f0ed875-71c4-4ee3-920f-960910df3ef8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_8bfe3a5c-6982-46cf-89ed-012a1945a062" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable_5b4d72f0-f0fd-454a-8eab-911c2617cc15" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_8bfe3a5c-6982-46cf-89ed-012a1945a062" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_8bfe3a5c-6982-46cf-89ed-012a1945a062" xlink:to="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_a247f000-d504-46fc-b7a7-6535a919c484" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_A5.11TacticalMember_a247f000-d504-46fc-b7a7-6535a919c484" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_7853ae13-8d7d-41be-8b7a-b1f56be59dea" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_ErgobabyMember_7853ae13-8d7d-41be-8b7a-b1f56be59dea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_99922622-a0e2-4499-9a39-f0a4873e2def" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_LibertyMember_99922622-a0e2-4499-9a39-f0a4873e2def" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_9101c438-5d13-4ac9-9d07-945f084b71b5" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_MarucciMemberMember_9101c438-5d13-4ac9-9d07-945f084b71b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_6459940a-eed2-401c-8f42-42236ad4a5b1" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_VelocityOutdoorMember_6459940a-eed2-401c-8f42-42236ad4a5b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_ca06b2a0-28ec-4e1d-ae70-e41af7bbe14e" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_AciMember_ca06b2a0-28ec-4e1d-ae70-e41af7bbe14e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_bf594653-c6eb-4772-902e-98e5bc811049" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_ArnoldMember_bf594653-c6eb-4772-902e-98e5bc811049" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMagneticsMember_13666c06-5626-46cd-bc43-2dbce9a3e103" xlink:href="codi-20210331.xsd#codi_ArnoldMagneticsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_ArnoldMagneticsMember_13666c06-5626-46cd-bc43-2dbce9a3e103" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateAndOtherMember_3069e6a8-f74d-437e-9f07-2b17557a93bb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CorporateAndOtherMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_us-gaap_CorporateAndOtherMember_3069e6a8-f74d-437e-9f07-2b17557a93bb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_2c851820-def9-4bbc-9b25-873fb83b4188" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_SternoProductsMember_2c851820-def9-4bbc-9b25-873fb83b4188" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_cffb6c06-e843-4fad-9906-5ff2d57c0b20" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_BOAMember_cffb6c06-e843-4fad-9906-5ff2d57c0b20" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_5a590514-bc86-4395-9ab5-5860791acb3c" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_586feb00-e54c-4635-9830-2363a62c2325" xlink:to="loc_codi_AltorMember_5a590514-bc86-4395-9ab5-5860791acb3c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NatureOfExpenseAxis_eed6fff4-ccbc-49c2-af15-dcbd5f0aa796" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NatureOfExpenseAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable_5b4d72f0-f0fd-454a-8eab-911c2617cc15" xlink:to="loc_us-gaap_NatureOfExpenseAxis_eed6fff4-ccbc-49c2-af15-dcbd5f0aa796" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterimPeriodCostsNotAllocableDomain_ee5da06d-f649-4094-a5c9-8c05892361ea" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterimPeriodCostsNotAllocableDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NatureOfExpenseAxis_eed6fff4-ccbc-49c2-af15-dcbd5f0aa796" xlink:to="loc_us-gaap_InterimPeriodCostsNotAllocableDomain_ee5da06d-f649-4094-a5c9-8c05892361ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AmortizationOfDebtIssuanceCostsAndOriginalIssueDiscountMember_92843619-9b2d-4859-80b9-4d989ed8ca68" xlink:href="codi-20210331.xsd#codi_AmortizationOfDebtIssuanceCostsAndOriginalIssueDiscountMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_InterimPeriodCostsNotAllocableDomain_ee5da06d-f649-4094-a5c9-8c05892361ea" xlink:to="loc_codi_AmortizationOfDebtIssuanceCostsAndOriginalIssueDiscountMember_92843619-9b2d-4859-80b9-4d989ed8ca68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAssetReconcilingItemLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReconciliationOfAssetsFromSegmentToConsolidatedTable_5b4d72f0-f0fd-454a-8eab-911c2617cc15" xlink:to="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableGross_688c5170-9314-497c-a919-228470c88bfe" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountsReceivableGross"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:to="loc_us-gaap_AccountsReceivableGross_688c5170-9314-497c-a919-228470c88bfe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllowanceForDoubtfulAccountsReceivable_e373f699-c37e-4dcf-ae22-d574c62c1992" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AllowanceForDoubtfulAccountsReceivable"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:to="loc_us-gaap_AllowanceForDoubtfulAccountsReceivable_e373f699-c37e-4dcf-ae22-d574c62c1992" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNet_402b64d1-32c0-4015-ad90-11d4f2dcdca5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountsReceivableNet"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:to="loc_us-gaap_AccountsReceivableNet_402b64d1-32c0-4015-ad90-11d4f2dcdca5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_IdentifiableAssetsOfSegments_4110066f-410b-4688-8398-b81198b733ee" xlink:href="codi-20210331.xsd#codi_IdentifiableAssetsOfSegments"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:to="loc_codi_IdentifiableAssetsOfSegments_4110066f-410b-4688-8398-b81198b733ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAndAmortization_932d5105-94c9-4056-94aa-71503528653f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DepreciationAndAmortization"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAssetReconcilingItemLineItems_d335aa9e-9cea-4f78-b3db-c1e9e9c21aff" xlink:to="loc_us-gaap_DepreciationAndAmortization_932d5105-94c9-4056-94aa-71503528653f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventory" xlink:type="simple" xlink:href="codi-20210331.xsd#PropertyPlantandEquipmentandInventory"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventory" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAbstract_6d1b8a76-2eb5-47be-be21-d1e01a0a8b6a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PropertyPlantAndEquipmentAndInventoryTextBlock_b937f541-5e16-47eb-a45b-9a8e52796135" xlink:href="codi-20210331.xsd#codi_PropertyPlantAndEquipmentAndInventoryTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_6d1b8a76-2eb5-47be-be21-d1e01a0a8b6a" xlink:to="loc_codi_PropertyPlantAndEquipmentAndInventoryTextBlock_b937f541-5e16-47eb-a45b-9a8e52796135" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventoryTables" xlink:type="simple" xlink:href="codi-20210331.xsd#PropertyPlantandEquipmentandInventoryTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventoryTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAbstract_d5d6d405-e4a1-4031-8135-ee8ee0cab84d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTextBlock_7ebfa5ba-ad55-4200-ae2d-e5ee3dd0ac0a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_d5d6d405-e4a1-4031-8135-ee8ee0cab84d" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentTextBlock_7ebfa5ba-ad55-4200-ae2d-e5ee3dd0ac0a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInventoryCurrentTableTextBlock_2e043b16-1013-4a44-8f44-536ebd0dcbb3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfInventoryCurrentTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_d5d6d405-e4a1-4031-8135-ee8ee0cab84d" xlink:to="loc_us-gaap_ScheduleOfInventoryCurrentTableTextBlock_2e043b16-1013-4a44-8f44-536ebd0dcbb3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventorySummaryofPropertyPlantandEquipmentDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#PropertyPlantandEquipmentandInventorySummaryofPropertyPlantandEquipmentDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventorySummaryofPropertyPlantandEquipmentDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAbstract_36ad4c61-fb7a-4b20-894c-98fdd3bb37b9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_944a9f16-44da-41a8-acac-a3dbf0fde33c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfPropertyPlantAndEquipmentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_36ad4c61-fb7a-4b20-894c-98fdd3bb37b9" xlink:to="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_944a9f16-44da-41a8-acac-a3dbf0fde33c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_87fbdc9b-ebae-4b2a-9902-63b2d99fc8b6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_944a9f16-44da-41a8-acac-a3dbf0fde33c" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_87fbdc9b-ebae-4b2a-9902-63b2d99fc8b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_8e3eea25-6a58-4055-80e3-d9640dbd7f09" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_87fbdc9b-ebae-4b2a-9902-63b2d99fc8b6" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_8e3eea25-6a58-4055-80e3-d9640dbd7f09" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MachineryAndEquipmentMember_f1d12ca2-40f4-4ec5-950b-edef495dafe5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MachineryAndEquipmentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_8e3eea25-6a58-4055-80e3-d9640dbd7f09" xlink:to="loc_us-gaap_MachineryAndEquipmentMember_f1d12ca2-40f4-4ec5-950b-edef495dafe5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_OfficeFurnitureComputersAndSoftwareMember_3d2e0cd0-8e55-4abd-bf97-45345196422e" xlink:href="codi-20210331.xsd#codi_OfficeFurnitureComputersAndSoftwareMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_8e3eea25-6a58-4055-80e3-d9640dbd7f09" xlink:to="loc_codi_OfficeFurnitureComputersAndSoftwareMember_3d2e0cd0-8e55-4abd-bf97-45345196422e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseholdImprovementsMember_67b70dd1-8f75-417a-968a-660a5a55dbe6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeaseholdImprovementsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_8e3eea25-6a58-4055-80e3-d9640dbd7f09" xlink:to="loc_us-gaap_LeaseholdImprovementsMember_67b70dd1-8f75-417a-968a-660a5a55dbe6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LandAndBuildingMember_66c681f4-285a-4a4d-813c-7a0abb9f3e90" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LandAndBuildingMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_8e3eea25-6a58-4055-80e3-d9640dbd7f09" xlink:to="loc_us-gaap_LandAndBuildingMember_66c681f4-285a-4a4d-813c-7a0abb9f3e90" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_944a9f16-44da-41a8-acac-a3dbf0fde33c" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_8c285d60-41d0-40fb-b64e-f7b8ce6c990d" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:to="loc_dei_DocumentPeriodEndDate_8c285d60-41d0-40fb-b64e-f7b8ce6c990d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Depreciation_a8a196ff-2e23-434a-94aa-207afc8c8187" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Depreciation"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:to="loc_us-gaap_Depreciation_a8a196ff-2e23-434a-94aa-207afc8c8187" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_eeab237d-87ee-4d97-8d5f-32616a95566b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_eeab237d-87ee-4d97-8d5f-32616a95566b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConstructionInProgressGross_162cc2ee-a470-4937-a1e6-f2a878b3874f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConstructionInProgressGross"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:to="loc_us-gaap_ConstructionInProgressGross_162cc2ee-a470-4937-a1e6-f2a878b3874f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_9bbf60be-73a8-4c8b-a726-c57822ff40ec" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_9bbf60be-73a8-4c8b-a726-c57822ff40ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_62cddd5d-d3eb-4354-ad18-9cb210497c92" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_11b766ef-d01a-47c6-a31a-e921932f98c1" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_62cddd5d-d3eb-4354-ad18-9cb210497c92" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventorySummaryofInventoryDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#PropertyPlantandEquipmentandInventorySummaryofInventoryDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/PropertyPlantandEquipmentandInventorySummaryofInventoryDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_e3971db2-aeee-4b80-aa58-36745509504d" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_dei_DocumentPeriodEndDate_e3971db2-aeee-4b80-aa58-36745509504d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Depreciation_91c52c7a-4c05-4e4e-9350-719ca30edd74" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Depreciation"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_us-gaap_Depreciation_91c52c7a-4c05-4e4e-9350-719ca30edd74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryRawMaterialsAndSupplies_2f27ce40-b980-41f4-8550-da8c44973374" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryRawMaterialsAndSupplies"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_us-gaap_InventoryRawMaterialsAndSupplies_2f27ce40-b980-41f4-8550-da8c44973374" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryWorkInProcess_c97c3d1f-90ec-47aa-96d5-9f035a5a6eec" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryWorkInProcess"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_us-gaap_InventoryWorkInProcess_c97c3d1f-90ec-47aa-96d5-9f035a5a6eec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryFinishedGoods_363441fa-caaf-43fe-bb99-dfe3980139e5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryFinishedGoods"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_us-gaap_InventoryFinishedGoods_363441fa-caaf-43fe-bb99-dfe3980139e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryValuationReserves_29bd7972-a661-4b46-bf39-ce83bca720be" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryValuationReserves"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_us-gaap_InventoryValuationReserves_29bd7972-a661-4b46-bf39-ce83bca720be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_0fae53ac-878a-439e-b7e6-0cd4d8ee5017" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryNet"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract_0d1e350d-ed7f-474f-9561-35f3ee9dfc7a" xlink:to="loc_us-gaap_InventoryNet_0fae53ac-878a-439e-b7e6-0cd4d8ee5017" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssets" xlink:type="simple" xlink:href="codi-20210331.xsd#GoodwillandOtherIntangibleAssets"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_2bc9e2ec-8c96-4d82-9a77-5a09fe54b33b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_2eaebc38-1264-419e-99ba-e7ea72ddcf1e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_2bc9e2ec-8c96-4d82-9a77-5a09fe54b33b" xlink:to="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_2eaebc38-1264-419e-99ba-e7ea72ddcf1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsTables" xlink:type="simple" xlink:href="codi-20210331.xsd#GoodwillandOtherIntangibleAssetsTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_aabbd9c5-bceb-44b8-baba-3219b442be65" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfGoodwillTextBlock_654a83fc-5976-4dfb-8c33-3c998d40c5ab" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfGoodwillTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_aabbd9c5-bceb-44b8-baba-3219b442be65" xlink:to="loc_us-gaap_ScheduleOfGoodwillTextBlock_654a83fc-5976-4dfb-8c33-3c998d40c5ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ScheduleOfIntangibleAssetsByMajorClassTableTextBlock_dcd28668-4e93-4bfd-a781-fcecdd444806" xlink:href="codi-20210331.xsd#codi_ScheduleOfIntangibleAssetsByMajorClassTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_aabbd9c5-bceb-44b8-baba-3219b442be65" xlink:to="loc_codi_ScheduleOfIntangibleAssetsByMajorClassTableTextBlock_dcd28668-4e93-4bfd-a781-fcecdd444806" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock_1d7dccef-f233-49da-afe0-9e3f5261b3b2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_aabbd9c5-bceb-44b8-baba-3219b442be65" xlink:to="loc_us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock_1d7dccef-f233-49da-afe0-9e3f5261b3b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#GoodwillandOtherIntangibleAssetsAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_01f8efb9-9690-42e5-a212-facb0be92c88" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:href="codi-20210331.xsd#codi_GoodwillAndOtherIntangibleAssetsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_01f8efb9-9690-42e5-a212-facb0be92c88" xlink:to="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_ba1e8ec0-298b-4f7e-af20-d46895b470a9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_ba1e8ec0-298b-4f7e-af20-d46895b470a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_802bcab7-214d-40f4-a7c8-f9ef5f86c08f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_ba1e8ec0-298b-4f7e-af20-d46895b470a9" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_802bcab7-214d-40f4-a7c8-f9ef5f86c08f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_de284f39-6f90-444b-ab46-8549c606f158" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_802bcab7-214d-40f4-a7c8-f9ef5f86c08f" xlink:to="loc_us-gaap_TradeNamesMember_de284f39-6f90-444b-ab46-8549c606f158" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_7a46aef0-161d-4208-997d-47a03834c2f5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_7a46aef0-161d-4208-997d-47a03834c2f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_1a3b98a6-8ccf-45b6-b560-c8563cf32584" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_7a46aef0-161d-4208-997d-47a03834c2f5" xlink:to="loc_us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_1a3b98a6-8ccf-45b6-b560-c8563cf32584" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_6bc9108a-6647-45e3-ae76-e229cca5ff7d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_1a3b98a6-8ccf-45b6-b560-c8563cf32584" xlink:to="loc_us-gaap_TradeNamesMember_6bc9108a-6647-45e3-ae76-e229cca5ff7d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementFrequencyAxis_1ccbf29b-8867-42d3-a5de-4ab93a190b10" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_us-gaap_FairValueByMeasurementFrequencyAxis_1ccbf29b-8867-42d3-a5de-4ab93a190b10" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementFrequencyDomain_a61b377f-9421-400e-8407-160e073a4eec" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementFrequencyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementFrequencyAxis_1ccbf29b-8867-42d3-a5de-4ab93a190b10" xlink:to="loc_us-gaap_FairValueMeasurementFrequencyDomain_a61b377f-9421-400e-8407-160e073a4eec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsegmentsAxis_6bf50ba4-cee4-4499-bf12-6a5b75136d26" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsegmentsAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_us-gaap_SubsegmentsAxis_6bf50ba4-cee4-4499-bf12-6a5b75136d26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsegmentsDomain_e350e616-acac-49d6-be00-61daf776bc33" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsegmentsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsegmentsAxis_6bf50ba4-cee4-4499-bf12-6a5b75136d26" xlink:to="loc_us-gaap_SubsegmentsDomain_e350e616-acac-49d6-be00-61daf776bc33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_dd59d8c5-365b-41a9-ad08-feb243ab854c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_dd59d8c5-365b-41a9-ad08-feb243ab854c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_dd59d8c5-365b-41a9-ad08-feb243ab854c" xlink:to="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_d14a4792-1dcf-4cc9-9c75-ad68a33cd1bf" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_VelocityOutdoorMember_d14a4792-1dcf-4cc9-9c75-ad68a33cd1bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_ab4c36c4-3802-42ce-a8a4-852f943a933e" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_AciMember_ab4c36c4-3802-42ce-a8a4-852f943a933e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_b222fd19-f4f4-45f7-8dd1-bff101ae902a" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_A5.11TacticalMember_b222fd19-f4f4-45f7-8dd1-bff101ae902a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_cfa25549-7825-4b7e-88cd-1b5ba6f3ab6a" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_ErgobabyMember_cfa25549-7825-4b7e-88cd-1b5ba6f3ab6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_e85eb183-066d-4bfb-bbc9-443f1c5843c7" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_LibertyMember_e85eb183-066d-4bfb-bbc9-443f1c5843c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_338a7b19-ff77-4e4e-80aa-ff2b1488430d" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_MarucciMemberMember_338a7b19-ff77-4e4e-80aa-ff2b1488430d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_db4fbce3-1776-43b9-aba2-80838d67ed27" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_ArnoldMember_db4fbce3-1776-43b9-aba2-80838d67ed27" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_1dc804e1-bbf9-46c9-83f1-647287f2cc37" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_SternoProductsMember_1dc804e1-bbf9-46c9-83f1-647287f2cc37" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateMember_fe0c6c33-1b4e-4229-a0f0-12308f37fd27" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CorporateMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_us-gaap_CorporateMember_fe0c6c33-1b4e-4229-a0f0-12308f37fd27" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_FoamFabricatorsMember_0df831ac-bc6e-4bc5-9fea-7f64073cf964" xlink:href="codi-20210331.xsd#codi_FoamFabricatorsMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_ee622b1e-3f44-40c2-888a-d712372741cb" xlink:to="loc_codi_FoamFabricatorsMember_0df831ac-bc6e-4bc5-9fea-7f64073cf964" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_a8a9e604-9c08-4a21-bf02-af430dd065a6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_a8a9e604-9c08-4a21-bf02-af430dd065a6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_c8757f1e-7653-43e6-a323-0dd05e3bdec6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_a8a9e604-9c08-4a21-bf02-af430dd065a6" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_c8757f1e-7653-43e6-a323-0dd05e3bdec6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:href="codi-20210331.xsd#codi_GoodwillAndOtherIntangibleAssetsLineItems"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsTable_7f8919b1-a7ce-4a35-99ef-69da6cdb3f23" xlink:to="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_8b56ce8b-d6fa-46f9-9f6a-d16966701fdd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_us-gaap_Goodwill_8b56ce8b-d6fa-46f9-9f6a-d16966701fdd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAcquiredDuringPeriod_480d3802-05c1-4b41-9956-54b3030d54b3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAcquiredDuringPeriod"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_us-gaap_GoodwillAcquiredDuringPeriod_480d3802-05c1-4b41-9956-54b3030d54b3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital_88194146-31b5-4ce1-a1b1-7a3aa701eaf3" xlink:href="codi-20210331.xsd#codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital_88194146-31b5-4ce1-a1b1-7a3aa701eaf3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent_0d5ac64a-a712-49cf-8eff-5b83764c55fe" xlink:href="codi-20210331.xsd#codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent_0d5ac64a-a712-49cf-8eff-5b83764c55fe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillGross_10d8cc86-e016-4177-86c4-0e2c65f1bbbf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillGross"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_us-gaap_GoodwillGross_10d8cc86-e016-4177-86c4-0e2c65f1bbbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_48ee37d8-7559-4554-8338-36e3bc0e7b65" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillImpairedAccumulatedImpairmentLoss"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_48ee37d8-7559-4554-8338-36e3bc0e7b65" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfIntangibleAssets_95188816-3a02-46b6-a2b3-dfb255d227db" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfIntangibleAssets"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_us-gaap_AmortizationOfIntangibleAssets_95188816-3a02-46b6-a2b3-dfb255d227db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_e931e939-49e7-4e24-81e6-91d5ee3a01e2" xlink:href="codi-20210331.xsd#codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_GoodwillAndOtherIntangibleAssetsLineItems_521b0190-6af3-409f-9521-d69deef7957f" xlink:to="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_e931e939-49e7-4e24-81e6-91d5ee3a01e2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsSummaryofReconciliationofChangeinCarryingValueofGoodwillDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#GoodwillandOtherIntangibleAssetsSummaryofReconciliationofChangeinCarryingValueofGoodwillDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsSummaryofReconciliationofChangeinCarryingValueofGoodwillDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_b4697e8a-b8b1-4e1a-bb60-2b51302a51a7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfGoodwillTable_fbfa8fe4-67cc-41aa-b0bd-cc161127fc10" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfGoodwillTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_b4697e8a-b8b1-4e1a-bb60-2b51302a51a7" xlink:to="loc_us-gaap_ScheduleOfGoodwillTable_fbfa8fe4-67cc-41aa-b0bd-cc161127fc10" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_d399728a-d8c7-484d-81c2-45391563e1a5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfGoodwillTable_fbfa8fe4-67cc-41aa-b0bd-cc161127fc10" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_d399728a-d8c7-484d-81c2-45391563e1a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_a3b75793-b3a3-40e5-aa0f-34eebb7c0d7e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_d399728a-d8c7-484d-81c2-45391563e1a5" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_a3b75793-b3a3-40e5-aa0f-34eebb7c0d7e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_f05db619-83a6-4be5-a437-5e8ad52228c3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfGoodwillTable_fbfa8fe4-67cc-41aa-b0bd-cc161127fc10" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_f05db619-83a6-4be5-a437-5e8ad52228c3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_f05db619-83a6-4be5-a437-5e8ad52228c3" xlink:to="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateMember_942e6314-aa6d-46b1-9e95-7f8abed8e4e5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CorporateMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_us-gaap_CorporateMember_942e6314-aa6d-46b1-9e95-7f8abed8e4e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_110c9fb3-ce92-4787-968e-9e65c82fbb9e" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_A5.11TacticalMember_110c9fb3-ce92-4787-968e-9e65c82fbb9e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_9fb5bc59-6ce4-416d-a347-d782209779f0" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_ErgobabyMember_9fb5bc59-6ce4-416d-a347-d782209779f0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_4ca67339-2dd3-4c75-89de-b9c91748c148" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_LibertyMember_4ca67339-2dd3-4c75-89de-b9c91748c148" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_be6651a3-6b65-458b-b8db-fc6b18d4478f" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_AciMember_be6651a3-6b65-458b-b8db-fc6b18d4478f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_367b960c-5280-4e44-9dca-65cc858d9004" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_ArnoldMember_367b960c-5280-4e44-9dca-65cc858d9004" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_8aa6b5b1-da42-4019-a65e-e28f7eded185" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_VelocityOutdoorMember_8aa6b5b1-da42-4019-a65e-e28f7eded185" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_748f96ff-c943-4ebb-9216-c75ef05aba80" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_SternoProductsMember_748f96ff-c943-4ebb-9216-c75ef05aba80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_b950a9fa-7b5c-4197-ac1e-929b26833422" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_MarucciMemberMember_b950a9fa-7b5c-4197-ac1e-929b26833422" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_e5491f9a-dccf-4de5-85c3-b64d6ece9950" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_BOAMember_e5491f9a-dccf-4de5-85c3-b64d6ece9950" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgoMember_1c29e5af-afc5-421c-ade1-69f14b39d54e" xlink:href="codi-20210331.xsd#codi_ErgoMember"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_ErgoMember_1c29e5af-afc5-421c-ade1-69f14b39d54e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_7b9c823a-7621-4c48-92a8-2d874c51a8ac" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_1a458078-3901-44a3-85a7-b948e6b99ef5" xlink:to="loc_codi_AltorMember_7b9c823a-7621-4c48-92a8-2d874c51a8ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfGoodwillTable_fbfa8fe4-67cc-41aa-b0bd-cc161127fc10" xlink:to="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillGross_9ada322a-2db7-4f2d-b570-393589dbce21" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillGross"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_us-gaap_GoodwillGross_9ada322a-2db7-4f2d-b570-393589dbce21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_855a15a2-25a6-4dd6-8534-e5c52ab7b0ac" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillImpairedAccumulatedImpairmentLoss"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_us-gaap_GoodwillImpairedAccumulatedImpairmentLoss_855a15a2-25a6-4dd6-8534-e5c52ab7b0ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_0c5750b7-66c7-4620-bd7f-204010ca8020" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_us-gaap_Goodwill_0c5750b7-66c7-4620-bd7f-204010ca8020" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAcquiredDuringPeriod_dcbd360c-7af1-4f75-b5f8-79cf091c93dc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAcquiredDuringPeriod"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_us-gaap_GoodwillAcquiredDuringPeriod_dcbd360c-7af1-4f75-b5f8-79cf091c93dc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillRollForward_9152ce84-de90-4f51-9d3e-87f08237e0a3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillRollForward"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_us-gaap_GoodwillRollForward_9152ce84-de90-4f51-9d3e-87f08237e0a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_c114a1bb-8cca-4bfa-9cc0-fb4a3a517880" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillRollForward_9152ce84-de90-4f51-9d3e-87f08237e0a3" xlink:to="loc_us-gaap_Goodwill_c114a1bb-8cca-4bfa-9cc0-fb4a3a517880" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_b6f2094f-77a4-4718-8569-8c1688664a4b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillRollForward_9152ce84-de90-4f51-9d3e-87f08237e0a3" xlink:to="loc_us-gaap_Goodwill_b6f2094f-77a4-4718-8569-8c1688664a4b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital_3681e3b7-d99f-4ba6-8c80-c4257c7b37c9" xlink:href="codi-20210331.xsd#codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital_3681e3b7-d99f-4ba6-8c80-c4257c7b37c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent_01ac81c1-9096-44f5-92f1-26fc8df6fc2b" xlink:href="codi-20210331.xsd#codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillLineItems_89091999-03ff-45ce-b46c-a9aa0a633913" xlink:to="loc_codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent_01ac81c1-9096-44f5-92f1-26fc8df6fc2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsSummaryofOtherIntangibleAssetsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#GoodwillandOtherIntangibleAssetsSummaryofOtherIntangibleAssetsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsSummaryofOtherIntangibleAssetsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_58a0184a-1821-4d7c-b784-d388788d3acf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTable_7775bef6-5cbd-4a1a-a5a2-ae047c04a49b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_58a0184a-1821-4d7c-b784-d388788d3acf" xlink:to="loc_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTable_7775bef6-5cbd-4a1a-a5a2-ae047c04a49b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_fb4beee3-7485-43e3-b6c3-9cb3d8e85f7c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTable_7775bef6-5cbd-4a1a-a5a2-ae047c04a49b" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_fb4beee3-7485-43e3-b6c3-9cb3d8e85f7c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_fb4beee3-7485-43e3-b6c3-9cb3d8e85f7c" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CustomerRelationshipsMember_46ea502c-024b-44c6-82a5-647af99fff07" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CustomerRelationshipsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:to="loc_us-gaap_CustomerRelationshipsMember_46ea502c-024b-44c6-82a5-647af99fff07" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TechnologyAndPatentsMember_96a6af4d-7a71-432e-9883-08c917fd1000" xlink:href="codi-20210331.xsd#codi_TechnologyAndPatentsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:to="loc_codi_TechnologyAndPatentsMember_96a6af4d-7a71-432e-9883-08c917fd1000" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_30a4c299-8619-4025-acda-d5bb7a827b7b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:to="loc_us-gaap_TradeNamesMember_30a4c299-8619-4025-acda-d5bb7a827b7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LicensingAndNonCompeteAgreementsMember_636bdecc-ff68-4afc-8317-0ef0c9bc7114" xlink:href="codi-20210331.xsd#codi_LicensingAndNonCompeteAgreementsMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:to="loc_codi_LicensingAndNonCompeteAgreementsMember_636bdecc-ff68-4afc-8317-0ef0c9bc7114" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributorRelationsAndOtherMember_79737fbb-184d-4b0f-9864-3428c33c6a22" xlink:href="codi-20210331.xsd#codi_DistributorRelationsAndOtherMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_48e43b98-093f-4863-b69d-ce466e992d57" xlink:to="loc_codi_DistributorRelationsAndOtherMember_79737fbb-184d-4b0f-9864-3428c33c6a22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTable_7775bef6-5cbd-4a1a-a5a2-ae047c04a49b" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_31200151-42a2-4bc3-bdc0-28b335e9ffa9" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_dei_DocumentPeriodEndDate_31200151-42a2-4bc3-bdc0-28b335e9ffa9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfIntangibleAssets_b409bc8f-a359-4084-9277-c0d667c13bd1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfIntangibleAssets"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_AmortizationOfIntangibleAssets_b409bc8f-a359-4084-9277-c0d667c13bd1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsGross_2e89def7-5acd-45cc-bd21-ee21b13aebe8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsGross"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsGross_2e89def7-5acd-45cc-bd21-ee21b13aebe8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_43875154-b952-41e1-b266-fce9da90e6aa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_43875154-b952-41e1-b266-fce9da90e6aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_694157a1-dc1b-4ae1-a7e6-6fda08ad86a3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsNet_694157a1-dc1b-4ae1-a7e6-6fda08ad86a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IndefiniteLivedTradeNames_c66d3fe0-7ccd-4224-8e3f-20a3d1276159" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IndefiniteLivedTradeNames"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_IndefiniteLivedTradeNames_c66d3fe0-7ccd-4224-8e3f-20a3d1276159" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_FiniteLivedInProcessResearchAndDevelopment_7bf65265-e255-4247-8c0a-534b5da001c4" xlink:href="codi-20210331.xsd#codi_FiniteLivedInProcessResearchAndDevelopment"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_codi_FiniteLivedInProcessResearchAndDevelopment_7bf65265-e255-4247-8c0a-534b5da001c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsGrossExcludingGoodwill_56323914-1f3f-4455-9aa2-6d0e9a06fbc6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IntangibleAssetsGrossExcludingGoodwill"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_IntangibleAssetsGrossExcludingGoodwill_56323914-1f3f-4455-9aa2-6d0e9a06fbc6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_f86c2663-2826-421b-aaf8-aca4930f6ae2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsLineItems_fe4943f0-183e-43f9-9854-391df23cdfbe" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_f86c2663-2826-421b-aaf8-aca4930f6ae2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsSummaryofEstimatedChargestoAmortizationExpenseofIntangibleAssetsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#GoodwillandOtherIntangibleAssetsSummaryofEstimatedChargestoAmortizationExpenseofIntangibleAssetsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/GoodwillandOtherIntangibleAssetsSummaryofEstimatedChargestoAmortizationExpenseofIntangibleAssetsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_2f3e5fee-1926-40c4-8831-0ba6f31fb75c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfIntangibleAssets_da081b9e-105c-495d-90fe-f383de252281" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfIntangibleAssets"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_2f3e5fee-1926-40c4-8831-0ba6f31fb75c" xlink:to="loc_us-gaap_AmortizationOfIntangibleAssets_da081b9e-105c-495d-90fe-f383de252281" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_2f3e5fee-1926-40c4-8831-0ba6f31fb75c" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_6c2fe189-ac54-481e-a148-f321e3fa60c9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_6c2fe189-ac54-481e-a148-f321e3fa60c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_9da3ebfd-d7b7-450f-b102-a2535cd42ffc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_9da3ebfd-d7b7-450f-b102-a2535cd42ffc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_c39947a7-3bb1-4b4f-8988-de06cf2bfff7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_c39947a7-3bb1-4b4f-8988-de06cf2bfff7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_e01d9025-d583-449c-a862-3b86f5058e7f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_e01d9025-d583-449c-a862-3b86f5058e7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_1eaac832-a5c3-4e4b-b547-f0e66dd724c7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_71090919-22a2-43e8-bbe5-0528c761007f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_1eaac832-a5c3-4e4b-b547-f0e66dd724c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/Warranties" xlink:type="simple" xlink:href="codi-20210331.xsd#Warranties"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/Warranties" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GuaranteesAbstract_1639894c-caa8-4e69-8012-c484176d5fac" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GuaranteesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductWarrantyDisclosureTextBlock_c18f0a25-cee5-4735-af72-4bb61ebe9b8a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProductWarrantyDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GuaranteesAbstract_1639894c-caa8-4e69-8012-c484176d5fac" xlink:to="loc_us-gaap_ProductWarrantyDisclosureTextBlock_c18f0a25-cee5-4735-af72-4bb61ebe9b8a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/WarrantiesTables" xlink:type="simple" xlink:href="codi-20210331.xsd#WarrantiesTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/WarrantiesTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GuaranteesAbstract_dc8eae99-91f3-406b-a96c-ae0ae6a80985" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GuaranteesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfProductWarrantyLiabilityTableTextBlock_177d4830-abf8-47b4-a8fd-14c387049b47" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfProductWarrantyLiabilityTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GuaranteesAbstract_dc8eae99-91f3-406b-a96c-ae0ae6a80985" xlink:to="loc_us-gaap_ScheduleOfProductWarrantyLiabilityTableTextBlock_177d4830-abf8-47b4-a8fd-14c387049b47" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/WarrantiesChangeinCarryingValueofCompanysWarrantyLiabilityDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#WarrantiesChangeinCarryingValueofCompanysWarrantyLiabilityDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/WarrantiesChangeinCarryingValueofCompanysWarrantyLiabilityDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GuaranteesAbstract_24cfcd37-4376-4677-a604-46b8a9588bb6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GuaranteesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_5947a18b-ff7f-4b26-ab4f-c7273ce99d04" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfEquityMethodInvestmentsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GuaranteesAbstract_24cfcd37-4376-4677-a604-46b8a9588bb6" xlink:to="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_5947a18b-ff7f-4b26-ab4f-c7273ce99d04" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_fecdd530-10c2-4b56-9b3b-42811ee244f4" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_5947a18b-ff7f-4b26-ab4f-c7273ce99d04" xlink:to="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_fecdd530-10c2-4b56-9b3b-42811ee244f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_517d5876-b4b3-46d8-bec5-92a55af536eb" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_fecdd530-10c2-4b56-9b3b-42811ee244f4" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_517d5876-b4b3-46d8-bec5-92a55af536eb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_84b3661a-c2d3-43ea-8db7-d0127ac377d0" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_EquityMethodInvesteeNameDomain_517d5876-b4b3-46d8-bec5-92a55af536eb" xlink:to="loc_codi_VelocityOutdoorMember_84b3661a-c2d3-43ea-8db7-d0127ac377d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfEquityMethodInvestmentsLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_5947a18b-ff7f-4b26-ab4f-c7273ce99d04" xlink:to="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductWarrantyAccrual_3f067221-0741-4737-8e1a-34f534d7b578" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProductWarrantyAccrual"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:to="loc_us-gaap_ProductWarrantyAccrual_3f067221-0741-4737-8e1a-34f534d7b578" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductWarrantyAccrualWarrantiesIssued_c175b094-9fe3-45ef-ae0c-90ce535d7fef" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProductWarrantyAccrualWarrantiesIssued"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:to="loc_us-gaap_ProductWarrantyAccrualWarrantiesIssued_c175b094-9fe3-45ef-ae0c-90ce535d7fef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductWarrantyAccrualPayments_836e915a-50ca-4ef0-802f-13007ae01d03" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProductWarrantyAccrualPayments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:to="loc_us-gaap_ProductWarrantyAccrualPayments_836e915a-50ca-4ef0-802f-13007ae01d03" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductWarrantyAccrual_bb166516-f555-46c2-96c4-17f497232462" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProductWarrantyAccrual"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:to="loc_us-gaap_ProductWarrantyAccrual_bb166516-f555-46c2-96c4-17f497232462" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition_e3777abc-afee-46c1-8091-6f7115432318" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_ae521355-5785-439e-bf35-8e3864ebcf6b" xlink:to="loc_us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition_e3777abc-afee-46c1-8091-6f7115432318" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/Debt" xlink:type="simple" xlink:href="codi-20210331.xsd#Debt"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/Debt" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_a91ee281-1a04-4ddc-868b-73a4c72072cd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureTextBlock_698eac15-2ca5-4657-8625-4ddc74703c04" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_a91ee281-1a04-4ddc-868b-73a4c72072cd" xlink:to="loc_us-gaap_DebtDisclosureTextBlock_698eac15-2ca5-4657-8625-4ddc74703c04" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DebtTables" xlink:type="simple" xlink:href="codi-20210331.xsd#DebtTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DebtTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_6831670a-021f-494b-afe4-faf113ee8d1c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDebtTableTextBlock_7293b518-46d9-45f3-8adf-791a1c961fb9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfDebtTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_6831670a-021f-494b-afe4-faf113ee8d1c" xlink:to="loc_us-gaap_ScheduleOfDebtTableTextBlock_7293b518-46d9-45f3-8adf-791a1c961fb9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DebtAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#DebtAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DebtAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_39c3b16c-d36d-4529-b51a-13d2cc27a6a1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_39c3b16c-d36d-4529-b51a-13d2cc27a6a1" xlink:to="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis_0e84669e-803a-47d1-8845-13e630d46bd1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_FairValueByMeasurementBasisAxis_0e84669e-803a-47d1-8845-13e630d46bd1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain_24e2f66c-512f-4758-8d67-08c3ecf0f40a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis_0e84669e-803a-47d1-8845-13e630d46bd1" xlink:to="loc_us-gaap_FairValueDisclosureItemAmountsDomain_24e2f66c-512f-4758-8d67-08c3ecf0f40a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_e70851d4-3c9e-481d-b3f0-04ab1b0c9dc1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_24e2f66c-512f-4758-8d67-08c3ecf0f40a" xlink:to="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_e70851d4-3c9e-481d-b3f0-04ab1b0c9dc1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_863b3b3c-3702-4251-ac1d-6b42a903e7b0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_24e2f66c-512f-4758-8d67-08c3ecf0f40a" xlink:to="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_863b3b3c-3702-4251-ac1d-6b42a903e7b0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementFrequencyAxis_4ed7e857-f065-4849-bb08-0094b4d87eb7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_FairValueByMeasurementFrequencyAxis_4ed7e857-f065-4849-bb08-0094b4d87eb7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementFrequencyDomain_fcc91025-bbed-49a7-b793-01e37e54bce9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementFrequencyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementFrequencyAxis_4ed7e857-f065-4849-bb08-0094b4d87eb7" xlink:to="loc_us-gaap_FairValueMeasurementFrequencyDomain_fcc91025-bbed-49a7-b793-01e37e54bce9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsRecurringMember_95e24615-4019-4653-982c-4ddc30f3e48b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementFrequencyDomain_fcc91025-bbed-49a7-b793-01e37e54bce9" xlink:to="loc_us-gaap_FairValueMeasurementsRecurringMember_95e24615-4019-4653-982c-4ddc30f3e48b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_98816bac-ef20-4f0b-9526-2cd1c449ef55" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_98816bac-ef20-4f0b-9526-2cd1c449ef55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_820fbf74-8697-4216-9aa5-0006a1c1748a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_98816bac-ef20-4f0b-9526-2cd1c449ef55" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_820fbf74-8697-4216-9aa5-0006a1c1748a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_5d33688d-06be-4939-9e9c-65f3ef89c1aa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_5d33688d-06be-4939-9e9c-65f3ef89c1aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_23af9817-47a3-4ff0-9131-3be8606551ab" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_5d33688d-06be-4939-9e9c-65f3ef89c1aa" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_23af9817-47a3-4ff0-9131-3be8606551ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_270e495a-0537-4736-8374-b43aaf9fe02f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_270e495a-0537-4736-8374-b43aaf9fe02f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_5a87cbe3-50ca-416e-b8d8-47b2ac0f9ef6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_270e495a-0537-4736-8374-b43aaf9fe02f" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_5a87cbe3-50ca-416e-b8d8-47b2ac0f9ef6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_00b2d1a6-82c0-45a4-a9c5-3e5b9d2a9761" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_DebtInstrumentAxis_00b2d1a6-82c0-45a4-a9c5-3e5b9d2a9761" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_eac97424-cd64-46f5-acee-5b041ccc344d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_00b2d1a6-82c0-45a4-a9c5-3e5b9d2a9761" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_eac97424-cd64-46f5-acee-5b041ccc344d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanFacilityMember_30234f25-85e2-49aa-8f30-3c5a88a34990" xlink:href="codi-20210331.xsd#codi_TermLoanFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_eac97424-cd64-46f5-acee-5b041ccc344d" xlink:to="loc_codi_TermLoanFacilityMember_30234f25-85e2-49aa-8f30-3c5a88a34990" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LetterOfCreditMember_e05fee8d-a2a6-487a-bab1-fbcd92205d40" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LetterOfCreditMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_eac97424-cd64-46f5-acee-5b041ccc344d" xlink:to="loc_us-gaap_LetterOfCreditMember_e05fee8d-a2a6-487a-bab1-fbcd92205d40" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_f5c30d21-d736-4f7a-832c-b6bade1b9cde" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_eac97424-cd64-46f5-acee-5b041ccc344d" xlink:to="loc_codi_Seniornotesdue2026Member_f5c30d21-d736-4f7a-832c-b6bade1b9cde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A2018CreditFacilityMember_607822ad-c724-4e0d-a85f-5bd5eca116dd" xlink:href="codi-20210331.xsd#codi_A2018CreditFacilityMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_eac97424-cd64-46f5-acee-5b041ccc344d" xlink:to="loc_codi_A2018CreditFacilityMember_607822ad-c724-4e0d-a85f-5bd5eca116dd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_5be1a2d0-c835-4010-bb29-3ef1c300d457" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_5be1a2d0-c835-4010-bb29-3ef1c300d457" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_f0e21f6b-3102-475d-9528-d6cd37d96146" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_5be1a2d0-c835-4010-bb29-3ef1c300d457" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_f0e21f6b-3102-475d-9528-d6cd37d96146" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanMember_f67989b9-6765-463e-ae27-82f2f174e97c" xlink:href="codi-20210331.xsd#codi_TermLoanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_f0e21f6b-3102-475d-9528-d6cd37d96146" xlink:to="loc_codi_TermLoanMember_f67989b9-6765-463e-ae27-82f2f174e97c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_4efd068b-2cbd-4668-9823-a992b0507143" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_f0e21f6b-3102-475d-9528-d6cd37d96146" xlink:to="loc_us-gaap_LineOfCreditMember_4efd068b-2cbd-4668-9823-a992b0507143" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_0b452896-d634-4d23-9bc7-869ec1db3057" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_CreditFacilityAxis_0b452896-d634-4d23-9bc7-869ec1db3057" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_1da39f4f-0980-4dba-b0ae-63582b357dbf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_0b452896-d634-4d23-9bc7-869ec1db3057" xlink:to="loc_us-gaap_CreditFacilityDomain_1da39f4f-0980-4dba-b0ae-63582b357dbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_7705330a-41cf-4862-902a-3a695c1d74d4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_1da39f4f-0980-4dba-b0ae-63582b357dbf" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_7705330a-41cf-4862-902a-3a695c1d74d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LetterOfCreditMember_6de40471-4fd3-439e-bb45-0a70f26f4702" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LetterOfCreditMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RevolvingCreditFacilityMember_7705330a-41cf-4862-902a-3a695c1d74d4" xlink:to="loc_us-gaap_LetterOfCreditMember_6de40471-4fd3-439e-bb45-0a70f26f4702" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_28dcc3ee-f03b-41f5-9501-eb5012cf6080" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RevolvingCreditFacilityMember_7705330a-41cf-4862-902a-3a695c1d74d4" xlink:to="loc_us-gaap_LineOfCreditMember_28dcc3ee-f03b-41f5-9501-eb5012cf6080" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanFacilityMember_97d5f45f-44ed-4996-bbfb-4a16944d1b74" xlink:href="codi-20210331.xsd#codi_TermLoanFacilityMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_1da39f4f-0980-4dba-b0ae-63582b357dbf" xlink:to="loc_codi_TermLoanFacilityMember_97d5f45f-44ed-4996-bbfb-4a16944d1b74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ExtinguishmentOfDebtAxis_940757e2-3d68-416b-9a4d-018242f2e53e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ExtinguishmentOfDebtAxis"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_ExtinguishmentOfDebtAxis_940757e2-3d68-416b-9a4d-018242f2e53e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ExtinguishmentOfDebtTypeDomain_3856540a-4d2c-4e35-93d0-5ee3c064e071" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ExtinguishmentOfDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ExtinguishmentOfDebtAxis_940757e2-3d68-416b-9a4d-018242f2e53e" xlink:to="loc_us-gaap_ExtinguishmentOfDebtTypeDomain_3856540a-4d2c-4e35-93d0-5ee3c064e071" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_168f8b2f-97b8-4299-b177-8fe87535f230" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ExtinguishmentOfDebtTypeDomain_3856540a-4d2c-4e35-93d0-5ee3c064e071" xlink:to="loc_us-gaap_LineOfCreditMember_168f8b2f-97b8-4299-b177-8fe87535f230" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_67e70bee-a8e1-4e55-af96-3425a306d60e" xlink:to="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_95c23294-1e11-4b89-bde3-8ecfd432cee5" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_dei_DocumentPeriodEndDate_95c23294-1e11-4b89-bde3-8ecfd432cee5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_dfcb8332-0d6a-406e-98f9-8c58904be4ad" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_dfcb8332-0d6a-406e-98f9-8c58904be4ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount_a6015e8e-44b3-4634-9d8d-f9373e33625d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_us-gaap_DebtInstrumentFaceAmount_a6015e8e-44b3-4634-9d8d-f9373e33625d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Debtissuanceaggregateprincipalamount_955a2a54-e1d9-41bb-8aed-743fa2678392" xlink:href="codi-20210331.xsd#codi_Debtissuanceaggregateprincipalamount"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_codi_Debtissuanceaggregateprincipalamount_955a2a54-e1d9-41bb-8aed-743fa2678392" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LettersOfCreditOutstandingAmount_dc1a5048-30a5-4226-9351-6c4749b5076a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LettersOfCreditOutstandingAmount"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_us-gaap_LettersOfCreditOutstandingAmount_dc1a5048-30a5-4226-9351-6c4749b5076a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedAmortizationDeferredFinanceCosts_f69a9720-a6ee-4c20-ad85-3efaaafa4735" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedAmortizationDeferredFinanceCosts"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_us-gaap_AccumulatedAmortizationDeferredFinanceCosts_f69a9720-a6ee-4c20-ad85-3efaaafa4735" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_515bb173-a32d-47e4-a644-f114cfa72c0e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_515bb173-a32d-47e4-a644-f114cfa72c0e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_41495ca8-ca39-4d0d-bc92-3e2fb6becc91" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_e852ea75-a1e0-4a59-9899-a94c80ab7b6d" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_41495ca8-ca39-4d0d-bc92-3e2fb6becc91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DebtIssuanceCostsDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#DebtIssuanceCostsDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DebtIssuanceCostsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_1963f30f-e62a-445b-82aa-59925f6e038b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_1963f30f-e62a-445b-82aa-59925f6e038b" xlink:to="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_10ac8035-84db-4184-b34c-d3ee03685628" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:to="loc_us-gaap_DebtInstrumentAxis_10ac8035-84db-4184-b34c-d3ee03685628" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_6032969e-3fc9-4f6a-bc56-9db80c638673" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_10ac8035-84db-4184-b34c-d3ee03685628" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_6032969e-3fc9-4f6a-bc56-9db80c638673" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_f1af0e27-e186-4bc7-a4c8-d90704f5f2ad" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_6032969e-3fc9-4f6a-bc56-9db80c638673" xlink:to="loc_codi_Seniornotesdue2026Member_f1af0e27-e186-4bc7-a4c8-d90704f5f2ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_78549635-7ed0-4a56-b73f-f6b118e41ad4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:to="loc_us-gaap_CreditFacilityAxis_78549635-7ed0-4a56-b73f-f6b118e41ad4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_a36a62b4-0c22-4fa5-8e4c-bc793387cd3e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_78549635-7ed0-4a56-b73f-f6b118e41ad4" xlink:to="loc_us-gaap_CreditFacilityDomain_a36a62b4-0c22-4fa5-8e4c-bc793387cd3e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_53ede677-f50d-48b0-bcb8-fad36f1d1a45" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_a36a62b4-0c22-4fa5-8e4c-bc793387cd3e" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_53ede677-f50d-48b0-bcb8-fad36f1d1a45" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_b42c1f65-c23d-49bd-a46b-b106d68ece6f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_b42c1f65-c23d-49bd-a46b-b106d68ece6f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_15e1287c-13e6-4d16-a938-062690b50aaf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_b42c1f65-c23d-49bd-a46b-b106d68ece6f" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_15e1287c-13e6-4d16-a938-062690b50aaf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanMember_eb41f47b-134c-4758-9d2f-440996aea9e1" xlink:href="codi-20210331.xsd#codi_TermLoanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_15e1287c-13e6-4d16-a938-062690b50aaf" xlink:to="loc_codi_TermLoanMember_eb41f47b-134c-4758-9d2f-440996aea9e1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SeniorNotesDue2029Member_39e16ca2-13d7-4aa6-bcf5-d5b1bca5fd94" xlink:href="codi-20210331.xsd#codi_SeniorNotesDue2029Member"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_15e1287c-13e6-4d16-a938-062690b50aaf" xlink:to="loc_codi_SeniorNotesDue2029Member_39e16ca2-13d7-4aa6-bcf5-d5b1bca5fd94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_5a10fd5c-3604-49ef-ac49-830966a6bb1c" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_15e1287c-13e6-4d16-a938-062690b50aaf" xlink:to="loc_codi_Seniornotesdue2026Member_5a10fd5c-3604-49ef-ac49-830966a6bb1c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A2021CreditFacilityMember_25cbebc9-14f9-4128-97d4-7106159f08eb" xlink:href="codi-20210331.xsd#codi_A2021CreditFacilityMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_15e1287c-13e6-4d16-a938-062690b50aaf" xlink:to="loc_codi_A2021CreditFacilityMember_25cbebc9-14f9-4128-97d4-7106159f08eb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_60b2c74a-1475-4474-a703-41e603c3e7ee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_60b2c74a-1475-4474-a703-41e603c3e7ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_7e960b2b-40c9-4cec-9064-8a0a023d4198" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_60b2c74a-1475-4474-a703-41e603c3e7ee" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_7e960b2b-40c9-4cec-9064-8a0a023d4198" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncurrentAssetsMember_15317181-e555-4e8e-b757-a18eb849c038" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncurrentAssetsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_7e960b2b-40c9-4cec-9064-8a0a023d4198" xlink:to="loc_us-gaap_OtherNoncurrentAssetsMember_15317181-e555-4e8e-b757-a18eb849c038" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncurrentLiabilitiesMember_371e9801-8525-4126-9530-14fbb91a8f55" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncurrentLiabilitiesMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_7e960b2b-40c9-4cec-9064-8a0a023d4198" xlink:to="loc_us-gaap_OtherNoncurrentLiabilitiesMember_371e9801-8525-4126-9530-14fbb91a8f55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems_1ae1da00-a9b7-492c-932a-1bd2aa85ec17" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_ee91587c-bc4c-436a-a23c-bf50d159c374" xlink:to="loc_us-gaap_DebtInstrumentLineItems_1ae1da00-a9b7-492c-932a-1bd2aa85ec17" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsGross_af263a3b-50b3-4999-b6db-ce090aeeb303" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredFinanceCostsGross"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_1ae1da00-a9b7-492c-932a-1bd2aa85ec17" xlink:to="loc_us-gaap_DeferredFinanceCostsGross_af263a3b-50b3-4999-b6db-ce090aeeb303" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedAmortizationDeferredFinanceCosts_cefa5e37-4ce4-43ae-92a7-0c45289caeb7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedAmortizationDeferredFinanceCosts"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_1ae1da00-a9b7-492c-932a-1bd2aa85ec17" xlink:to="loc_us-gaap_AccumulatedAmortizationDeferredFinanceCosts_cefa5e37-4ce4-43ae-92a7-0c45289caeb7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_b4e7b5bd-cc5d-41a8-b820-8de890a75943" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_1ae1da00-a9b7-492c-932a-1bd2aa85ec17" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_b4e7b5bd-cc5d-41a8-b820-8de890a75943" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_3f50f43e-ab3d-4b95-ad8b-f73b325d9fbd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_1ae1da00-a9b7-492c-932a-1bd2aa85ec17" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_3f50f43e-ab3d-4b95-ad8b-f73b325d9fbd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DebtSummaryofDebtHoldingsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#DebtSummaryofDebtHoldingsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DebtSummaryofDebtHoldingsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_9787cbbd-7c56-4c3e-913e-9f075553927b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_9787cbbd-7c56-4c3e-913e-9f075553927b" xlink:to="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_efc8d881-43f8-4817-ae93-dba27f768795" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_DebtInstrumentAxis_efc8d881-43f8-4817-ae93-dba27f768795" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_efc8d881-43f8-4817-ae93-dba27f768795" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_5fe5b997-ff04-40c7-b03b-4e3f96144b87" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:to="loc_codi_Seniornotesdue2026Member_5fe5b997-ff04-40c7-b03b-4e3f96144b87" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LetterOfCreditMember_7fb29894-1578-466f-870c-1fe188fbfce2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LetterOfCreditMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:to="loc_us-gaap_LetterOfCreditMember_7fb29894-1578-466f-870c-1fe188fbfce2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A2018CreditFacilityMember_3278d558-b961-447b-bc2f-a78baefc28c5" xlink:href="codi-20210331.xsd#codi_A2018CreditFacilityMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:to="loc_codi_A2018CreditFacilityMember_3278d558-b961-447b-bc2f-a78baefc28c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A2021CreditFacilityMember_b535e5ea-07f3-4486-880c-3c66d03db01a" xlink:href="codi-20210331.xsd#codi_A2021CreditFacilityMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:to="loc_codi_A2021CreditFacilityMember_b535e5ea-07f3-4486-880c-3c66d03db01a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SeniorNotesDue2029Member_aa65e4f6-efa3-4479-b51f-8043019886cf" xlink:href="codi-20210331.xsd#codi_SeniorNotesDue2029Member"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_5aae8fd1-8782-49e5-a635-9453c24eaf4d" xlink:to="loc_codi_SeniorNotesDue2029Member_aa65e4f6-efa3-4479-b51f-8043019886cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_cf5f32bc-658f-4889-8b47-cb1eda1c7f88" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_cf5f32bc-658f-4889-8b47-cb1eda1c7f88" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_22268fd2-0b32-4207-9857-5b62e028161e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_cf5f32bc-658f-4889-8b47-cb1eda1c7f88" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_22268fd2-0b32-4207-9857-5b62e028161e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_3640b8d0-eb3f-4b17-a3cd-abc01c3783c7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_3640b8d0-eb3f-4b17-a3cd-abc01c3783c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_b99fe087-1a14-43fc-ab3d-3970f7338336" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_3640b8d0-eb3f-4b17-a3cd-abc01c3783c7" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_b99fe087-1a14-43fc-ab3d-3970f7338336" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_c43e7bcb-8b8b-4430-a835-c8f59b4119a1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_c43e7bcb-8b8b-4430-a835-c8f59b4119a1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_466101e9-9473-475d-9d0a-3695b47c5cc6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_c43e7bcb-8b8b-4430-a835-c8f59b4119a1" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_466101e9-9473-475d-9d0a-3695b47c5cc6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanMember_40390856-6d5e-4b94-ada7-9267e664e146" xlink:href="codi-20210331.xsd#codi_TermLoanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_466101e9-9473-475d-9d0a-3695b47c5cc6" xlink:to="loc_codi_TermLoanMember_40390856-6d5e-4b94-ada7-9267e664e146" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_7abe3d18-1b1b-4520-9b25-9e5c309c0edf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_CreditFacilityAxis_7abe3d18-1b1b-4520-9b25-9e5c309c0edf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_aff4c449-69d6-46df-abf3-405f48c43791" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_7abe3d18-1b1b-4520-9b25-9e5c309c0edf" xlink:to="loc_us-gaap_CreditFacilityDomain_aff4c449-69d6-46df-abf3-405f48c43791" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_2ddd8e45-3abb-482d-bcf2-8d8f0df12195" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_aff4c449-69d6-46df-abf3-405f48c43791" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_2ddd8e45-3abb-482d-bcf2-8d8f0df12195" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanFacilityMember_af24c479-df53-4bd8-862a-970f6f25d3cc" xlink:href="codi-20210331.xsd#codi_TermLoanFacilityMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_aff4c449-69d6-46df-abf3-405f48c43791" xlink:to="loc_codi_TermLoanFacilityMember_af24c479-df53-4bd8-862a-970f6f25d3cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_6ea9658c-d5bb-48cf-b1e8-a8472c9ef507" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_aff4c449-69d6-46df-abf3-405f48c43791" xlink:to="loc_us-gaap_LineOfCreditMember_6ea9658c-d5bb-48cf-b1e8-a8472c9ef507" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LetterOfCreditMember_1b42b09c-00f6-41a7-bd0d-021d2f22f743" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LetterOfCreditMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_aff4c449-69d6-46df-abf3-405f48c43791" xlink:to="loc_us-gaap_LetterOfCreditMember_1b42b09c-00f6-41a7-bd0d-021d2f22f743" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_8b0f3162-703a-469b-aece-0dc61335f475" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_8b0f3162-703a-469b-aece-0dc61335f475" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_89fcb6de-931a-48da-8aff-251f1c7bf5bc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_8b0f3162-703a-469b-aece-0dc61335f475" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_89fcb6de-931a-48da-8aff-251f1c7bf5bc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_0c6d15de-df42-4e25-9e82-f5e2be3d8a89" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_89fcb6de-931a-48da-8aff-251f1c7bf5bc" xlink:to="loc_us-gaap_SubsequentEventMember_0c6d15de-df42-4e25-9e82-f5e2be3d8a89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_3988493a-baa6-4e3b-9282-266998c6308a" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_srt_RangeAxis_3988493a-baa6-4e3b-9282-266998c6308a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_6e8756fb-7553-415f-b360-6f3086019e5b" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_3988493a-baa6-4e3b-9282-266998c6308a" xlink:to="loc_srt_RangeMember_6e8756fb-7553-415f-b360-6f3086019e5b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_d85f8bc9-abdc-4eca-aa0e-6af914a41cdd" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_6e8756fb-7553-415f-b360-6f3086019e5b" xlink:to="loc_srt_MinimumMember_d85f8bc9-abdc-4eca-aa0e-6af914a41cdd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_b0e8ff03-919d-482a-abb7-e4ca4dc2be79" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MaximumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_6e8756fb-7553-415f-b360-6f3086019e5b" xlink:to="loc_srt_MaximumMember_b0e8ff03-919d-482a-abb7-e4ca4dc2be79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateAxis_36bcb1bf-03c1-4fb8-b163-33a04912f8b7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableRateAxis"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_VariableRateAxis_36bcb1bf-03c1-4fb8-b163-33a04912f8b7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateDomain_5cb87f85-a9a7-4782-8593-b1d0558df522" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableRateDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateAxis_36bcb1bf-03c1-4fb8-b163-33a04912f8b7" xlink:to="loc_us-gaap_VariableRateDomain_5cb87f85-a9a7-4782-8593-b1d0558df522" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LondonInterbankOfferedRateLIBORMember_cbc45d5a-08ab-4fae-8b1a-d17f2b3312e9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LondonInterbankOfferedRateLIBORMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_5cb87f85-a9a7-4782-8593-b1d0558df522" xlink:to="loc_us-gaap_LondonInterbankOfferedRateLIBORMember_cbc45d5a-08ab-4fae-8b1a-d17f2b3312e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FederalFundsEffectiveSwapRateMember_1ded3434-6c41-464a-9ccc-629575294e65" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FederalFundsEffectiveSwapRateMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_5cb87f85-a9a7-4782-8593-b1d0558df522" xlink:to="loc_us-gaap_FederalFundsEffectiveSwapRateMember_1ded3434-6c41-464a-9ccc-629575294e65" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EurodollarMember_bce7ff51-f6d3-4306-8a67-d176fcfb1d11" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EurodollarMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_5cb87f85-a9a7-4782-8593-b1d0558df522" xlink:to="loc_us-gaap_EurodollarMember_bce7ff51-f6d3-4306-8a67-d176fcfb1d11" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BaseRateMember_ab302391-af99-4627-be90-7991b69f6fab" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BaseRateMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_5cb87f85-a9a7-4782-8593-b1d0558df522" xlink:to="loc_us-gaap_BaseRateMember_ab302391-af99-4627-be90-7991b69f6fab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2a65f52d-0088-4a5a-9cf8-2af4dbcf71d7" xlink:to="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_7ef2853f-7d93-4cf2-a47b-444c3278620f" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_dei_DocumentPeriodEndDate_7ef2853f-7d93-4cf2-a47b-444c3278620f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_3603c72c-59a3-4c40-8d5e-0f82516c97f4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_3603c72c-59a3-4c40-8d5e-0f82516c97f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorLongTermNotes_271ad10e-55cf-4952-86e1-ec0d94d7af88" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeniorLongTermNotes"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_SeniorLongTermNotes_271ad10e-55cf-4952-86e1-ec0d94d7af88" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_6cd3113d-44e3-41cf-a719-11412c9ec0c3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_6cd3113d-44e3-41cf-a719-11412c9ec0c3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_a85771ad-dbe9-4102-b4fc-2de413dfaacf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebt"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_LongTermDebt_a85771ad-dbe9-4102-b4fc-2de413dfaacf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_cfaa9284-f7be-41a9-a39d-8e7292fde85d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_LongTermDebtCurrent_cfaa9284-f7be-41a9-a39d-8e7292fde85d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_51cf0c4a-cc22-4016-9499-8952e2c41fbb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_51cf0c4a-cc22-4016-9499-8952e2c41fbb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtFairValue_bf44ee3a-1cf4-4034-9094-d2f5bde58832" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtFairValue"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_LongTermDebtFairValue_bf44ee3a-1cf4-4034-9094-d2f5bde58832" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LettersOfCreditOutstandingAmount_8c1abf95-df5e-4dbf-9a9a-471d6c36a3be" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LettersOfCreditOutstandingAmount"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_LettersOfCreditOutstandingAmount_8c1abf95-df5e-4dbf-9a9a-471d6c36a3be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount_07beafeb-1f25-497a-812f-c8cbfb9ed1a7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_DebtInstrumentFaceAmount_07beafeb-1f25-497a-812f-c8cbfb9ed1a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_7b4db532-2acc-4d2a-98fa-f9d8a70832d2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromLongTermLinesOfCredit"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_7b4db532-2acc-4d2a-98fa-f9d8a70832d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_3cbeb402-c6a2-4ed9-a02a-d334fb05f91e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_3cbeb402-c6a2-4ed9-a02a-d334fb05f91e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Debtissuanceaggregateprincipalamount_06c0e01d-7ec3-4ad2-98ac-2e19a35620d3" xlink:href="codi-20210331.xsd#codi_Debtissuanceaggregateprincipalamount"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_codi_Debtissuanceaggregateprincipalamount_06c0e01d-7ec3-4ad2-98ac-2e19a35620d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_6133e001-60e6-4b6b-acc1-110041007bd9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_6133e001-60e6-4b6b-acc1-110041007bd9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_6265e70a-1ce1-42ad-b87b-fbf04a44ff38" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_6265e70a-1ce1-42ad-b87b-fbf04a44ff38" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ProceedsHeldInEscrow_6fa34e40-1334-426b-b209-c74ed5ab347d" xlink:href="codi-20210331.xsd#codi_ProceedsHeldInEscrow"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2d9391b6-8941-49d8-983c-4d1637b3593d" xlink:to="loc_codi_ProceedsHeldInEscrow_6fa34e40-1334-426b-b209-c74ed5ab347d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/StockholdersEquity" xlink:type="simple" xlink:href="codi-20210331.xsd#StockholdersEquity"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/StockholdersEquity" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityAbstract_943b57b8-9ef0-491d-a975-f02a1178361f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock_b66e5e1a-44d3-4c64-881f-ac7a2a0898a2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquityNoteDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityAbstract_943b57b8-9ef0-491d-a975-f02a1178361f" xlink:to="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock_b66e5e1a-44d3-4c64-881f-ac7a2a0898a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/StockholdersEquityTables" xlink:type="simple" xlink:href="codi-20210331.xsd#StockholdersEquityTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/StockholdersEquityTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityAbstract_6dd9e176-db0a-4502-afe4-0fd277fc2b10" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEarningsPerShareBasicByCommonClassTextBlock_451649c0-6726-472f-9766-4adf94a78a19" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfEarningsPerShareBasicByCommonClassTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityAbstract_6dd9e176-db0a-4502-afe4-0fd277fc2b10" xlink:to="loc_us-gaap_ScheduleOfEarningsPerShareBasicByCommonClassTextBlock_451649c0-6726-472f-9766-4adf94a78a19" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/StockholdersEquityAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#StockholdersEquityAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/StockholdersEquityAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityAbstract_01a3827b-af50-47b1-a90f-1736b244da52" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:href="codi-20210331.xsd#codi_StockholdersEquityTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityAbstract_01a3827b-af50-47b1-a90f-1736b244da52" xlink:to="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementScenarioAxis_471e8a0f-554f-49d0-86c2-6fec623c5b26" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_StatementScenarioAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_srt_StatementScenarioAxis_471e8a0f-554f-49d0-86c2-6fec623c5b26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioUnspecifiedDomain_717f4a76-8d57-48e6-be11-7c1ccac70d79" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScenarioUnspecifiedDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementScenarioAxis_471e8a0f-554f-49d0-86c2-6fec623c5b26" xlink:to="loc_srt_ScenarioUnspecifiedDomain_717f4a76-8d57-48e6-be11-7c1ccac70d79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_94a5ea6d-45b4-488a-8497-b7b177ec1881" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_94a5ea6d-45b4-488a-8497-b7b177ec1881" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_ae507377-f45a-4325-a578-7cd171a655d9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_94a5ea6d-45b4-488a-8497-b7b177ec1881" xlink:to="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_ae507377-f45a-4325-a578-7cd171a655d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_0f17ef92-6c8c-40e3-bb55-ea85bb81ec1d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_0f17ef92-6c8c-40e3-bb55-ea85bb81ec1d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_01ae4115-ebf3-4102-b337-c8b5d21467e7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_0f17ef92-6c8c-40e3-bb55-ea85bb81ec1d" xlink:to="loc_us-gaap_SegmentDomain_01ae4115-ebf3-4102-b337-c8b5d21467e7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_65aaa957-a325-4af4-b5ff-0027f76d2b32" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_01ae4115-ebf3-4102-b337-c8b5d21467e7" xlink:to="loc_codi_LibertyMember_65aaa957-a325-4af4-b5ff-0027f76d2b32" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgoMember_547f8b98-5252-4d15-870c-75a1e89d1734" xlink:href="codi-20210331.xsd#codi_ErgoMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_01ae4115-ebf3-4102-b337-c8b5d21467e7" xlink:to="loc_codi_ErgoMember_547f8b98-5252-4d15-870c-75a1e89d1734" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_bd27ad08-5c44-46c5-9581-c596088da963" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_bd27ad08-5c44-46c5-9581-c596088da963" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_520623c9-8162-4ce1-90cd-633996f32dea" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityComponentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_bd27ad08-5c44-46c5-9581-c596088da963" xlink:to="loc_us-gaap_EquityComponentDomain_520623c9-8162-4ce1-90cd-633996f32dea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsMember_e7c346f6-90d8-4163-8295-a9d87502f947" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RetainedEarningsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_520623c9-8162-4ce1-90cd-633996f32dea" xlink:to="loc_us-gaap_RetainedEarningsMember_e7c346f6-90d8-4163-8295-a9d87502f947" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_c9078092-5642-46b6-871c-254c46ebcf08" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_520623c9-8162-4ce1-90cd-633996f32dea" xlink:to="loc_us-gaap_CommonStockMember_c9078092-5642-46b6-871c-254c46ebcf08" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_604ac5a2-ee49-4f87-b915-7a0400bd7402" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_srt_RangeAxis_604ac5a2-ee49-4f87-b915-7a0400bd7402" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_b1c259f4-9080-4457-9a9e-71739f924bba" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_604ac5a2-ee49-4f87-b915-7a0400bd7402" xlink:to="loc_srt_RangeMember_b1c259f4-9080-4457-9a9e-71739f924bba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_b743b1f1-e93d-449d-9b08-3f5f2d389381" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_b1c259f4-9080-4457-9a9e-71739f924bba" xlink:to="loc_srt_MinimumMember_b743b1f1-e93d-449d-9b08-3f5f2d389381" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_cfb575cc-2df1-4c5f-8081-98cdda938162" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_cfb575cc-2df1-4c5f-8081-98cdda938162" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_726fe7cd-d1f0-46e4-ac6d-70a202332e36" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_cfb575cc-2df1-4c5f-8081-98cdda938162" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_726fe7cd-d1f0-46e4-ac6d-70a202332e36" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_4fdd3f92-a4d0-4389-bcdc-beba08fd98f6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_4fdd3f92-a4d0-4389-bcdc-beba08fd98f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_187e3c22-8703-4c7e-92c7-70bcc7f47267" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_4fdd3f92-a4d0-4389-bcdc-beba08fd98f6" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_187e3c22-8703-4c7e-92c7-70bcc7f47267" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_ed287002-2341-4b88-b571-aee0f596eabb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_187e3c22-8703-4c7e-92c7-70bcc7f47267" xlink:to="loc_us-gaap_SubsequentEventMember_ed287002-2341-4b88-b571-aee0f596eabb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_73aa46db-bae6-4924-8c61-a0839999244a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_us-gaap_StatementClassOfStockAxis_73aa46db-bae6-4924-8c61-a0839999244a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_73aa46db-bae6-4924-8c61-a0839999244a" xlink:to="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_2d8850b3-f9e7-4821-b327-695f5dd50315" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_CommonStockMember_2d8850b3-f9e7-4821-b327-695f5dd50315" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredClassBMember_e596c170-747f-4d0a-b840-72a56cb7c49f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredClassBMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_PreferredClassBMember_e596c170-747f-4d0a-b840-72a56cb7c49f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesBPreferredStockMember_7f025a28-42f7-48b2-b230-390a1b10afc1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesBPreferredStockMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_SeriesBPreferredStockMember_7f025a28-42f7-48b2-b230-390a1b10afc1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesAPreferredStockMember_5909e30e-8a2a-4e84-8bfa-8e49aa0bae53" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesAPreferredStockMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_SeriesAPreferredStockMember_5909e30e-8a2a-4e84-8bfa-8e49aa0bae53" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredClassAMember_4a972e95-4f20-4bc6-bb2a-c59dddb52c44" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredClassAMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_PreferredClassAMember_4a972e95-4f20-4bc6-bb2a-c59dddb52c44" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesBMember_5532acf3-cd7d-496a-9d39-3c1747e277fe" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesBMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_SeriesBMember_5532acf3-cd7d-496a-9d39-3c1747e277fe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesCPreferredStockMember_560221ae-2e87-4739-a95e-3c0284dae221" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesCPreferredStockMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_6b762b55-1663-4262-8e3e-e538a25d0ab2" xlink:to="loc_us-gaap_SeriesCPreferredStockMember_560221ae-2e87-4739-a95e-3c0284dae221" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:href="codi-20210331.xsd#codi_StockholdersEquityLineItems"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityTable_16b5168d-1e5f-48ad-a2f4-641feb2ee40d" xlink:to="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionExpensePreferredShareholders_e9330ca5-502b-4c0c-88f2-a28a5728d6c5" xlink:href="codi-20210331.xsd#codi_DistributionExpensePreferredShareholders"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_DistributionExpensePreferredShareholders_e9330ca5-502b-4c0c-88f2-a28a5728d6c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AccruedDistributionPreferredShareholders_f252fb71-566f-46e7-8fdc-ca302a91e505" xlink:href="codi-20210331.xsd#codi_AccruedDistributionPreferredShareholders"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_AccruedDistributionPreferredShareholders_f252fb71-566f-46e7-8fdc-ca302a91e505" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesAuthorized_1276f092-4f76-47d2-923d-3512fff459a6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_CommonStockSharesAuthorized_1276f092-4f76-47d2-923d-3512fff459a6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued_890fe535-54bd-477a-b9c8-0314083c80cb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_CommonStockSharesIssued_890fe535-54bd-477a-b9c8-0314083c80cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharePrice_205874d1-5c73-4fb8-9cd5-59c9301174d7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SharePrice"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_SharePrice_205874d1-5c73-4fb8-9cd5-59c9301174d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_bd4cd105-fdee-4b8e-aa2d-6a87b3ecd6c1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_bd4cd105-fdee-4b8e-aa2d-6a87b3ecd6c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesAuthorized_878f6922-faf7-4e41-8cc1-c90cc22d8e01" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesAuthorized"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_PreferredStockSharesAuthorized_878f6922-faf7-4e41-8cc1-c90cc22d8e01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendRatePercentage_1e103fbf-e64a-45c8-925a-f13d7eb120fb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockDividendRatePercentage"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_PreferredStockDividendRatePercentage_1e103fbf-e64a-45c8-925a-f13d7eb120fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesIssued_4fbef080-bcf9-41ce-9501-87dd75cd97dc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesIssued"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_PreferredStockSharesIssued_4fbef080-bcf9-41ce-9501-87dd75cd97dc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockLiquidationPreference_f946d752-20af-49f5-ac67-2385ec41c76c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockLiquidationPreference"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_PreferredStockLiquidationPreference_f946d752-20af-49f5-ac67-2385ec41c76c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock_533e7460-ed55-4951-9e94-fd9fd3c29024" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock_533e7460-ed55-4951-9e94-fd9fd3c29024" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues_662b727f-8f1e-4c75-947d-b139897ec7d1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockIssuedDuringPeriodValueNewIssues"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues_662b727f-8f1e-4c75-947d-b139897ec7d1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues_e9d6aff2-b4e8-418e-a12d-0062736022ad" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues_e9d6aff2-b4e8-418e-a12d-0062736022ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_25c9694a-e0cd-40d0-b476-ff0db40bf948" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockValue"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_PreferredStockValue_25c9694a-e0cd-40d0-b476-ff0db40bf948" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockRedemptionPricePerShare_e50e1bea-56b9-4cad-a807-e2fd47884b57" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockRedemptionPricePerShare"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_PreferredStockRedemptionPricePerShare_e50e1bea-56b9-4cad-a807-e2fd47884b57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockVotingRights_8ad131ad-0172-4f3c-9fae-26dfcf4e1245" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockVotingRights"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_us-gaap_CommonStockVotingRights_8ad131ad-0172-4f3c-9fae-26dfcf4e1245" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionsPayableAmountPerShare_36f635c0-69cd-428b-913b-e872726cf5d5" xlink:href="codi-20210331.xsd#codi_DistributionsPayableAmountPerShare"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_DistributionsPayableAmountPerShare_36f635c0-69cd-428b-913b-e872726cf5d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentsOfDistributionsToShareholders_8d9f7dba-42bc-4776-a560-810557f85126" xlink:href="codi-20210331.xsd#codi_PaymentsOfDistributionsToShareholders"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_PaymentsOfDistributionsToShareholders_8d9f7dba-42bc-4776-a560-810557f85126" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PreferredStockCashDistributionsPaidPerShare_3da259be-82f1-4e77-8bb8-c5d916da742a" xlink:href="codi-20210331.xsd#codi_PreferredStockCashDistributionsPaidPerShare"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_PreferredStockCashDistributionsPaidPerShare_3da259be-82f1-4e77-8bb8-c5d916da742a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionToShareholders_fa8e9e28-0113-482a-befe-bf1447cfcd8c" xlink:href="codi-20210331.xsd#codi_DistributionToShareholders"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_DistributionToShareholders_fa8e9e28-0113-482a-befe-bf1447cfcd8c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NetIncomeLossAvailabletoTrustStockNetofDistributions_b38b9c16-980b-447a-bfd3-aeab7811ec18" xlink:href="codi-20210331.xsd#codi_NetIncomeLossAvailabletoTrustStockNetofDistributions"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_NetIncomeLossAvailabletoTrustStockNetofDistributions_b38b9c16-980b-447a-bfd3-aeab7811ec18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_DistributionsForContributionBasedProfitAllocationPayments_11a6278f-2562-46a6-ab40-18fbcf0fb95f" xlink:href="codi-20210331.xsd#codi_DistributionsForContributionBasedProfitAllocationPayments"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_codi_DistributionsForContributionBasedProfitAllocationPayments_11a6278f-2562-46a6-ab40-18fbcf0fb95f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_11be46d3-1238-4c1a-9fa1-8fa40f620790" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_codi_StockholdersEquityLineItems_a2856ff0-0b63-4f87-bfb7-5eb31a00e8ba" xlink:to="loc_dei_DocumentPeriodEndDate_11be46d3-1238-4c1a-9fa1-8fa40f620790" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/StockholdersEquitySummaryofBasicandDilutedEarningsPerShareDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#StockholdersEquitySummaryofBasicandDilutedEarningsPerShareDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/StockholdersEquitySummaryofBasicandDilutedEarningsPerShareDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityAbstract_8d16e202-d710-4c08-8772-dcb1a0751f61" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_e8dce54f-4f72-44ff-8f1b-514e294977a7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityAbstract_8d16e202-d710-4c08-8772-dcb1a0751f61" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_e8dce54f-4f72-44ff-8f1b-514e294977a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_e8dce54f-4f72-44ff-8f1b-514e294977a7" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NetIncomeLossAvailabletoTrustStockNetofDistributions_b6ced2c4-aeec-4da3-8e63-0097da94b12c" xlink:href="codi-20210331.xsd#codi_NetIncomeLossAvailabletoTrustStockNetofDistributions"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:to="loc_codi_NetIncomeLossAvailabletoTrustStockNetofDistributions_b6ced2c4-aeec-4da3-8e63-0097da94b12c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent_851b15e6-563d-48eb-8090-b726cb1222e7" xlink:href="codi-20210331.xsd#codi_EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:to="loc_codi_EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent_851b15e6-563d-48eb-8090-b726cb1222e7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment_9982f378-ba96-4830-86ac-8d8fa38a5a4c" xlink:href="codi-20210331.xsd#codi_NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:to="loc_codi_NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment_9982f378-ba96-4830-86ac-8d8fa38a5a4c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted_a0ede563-9fee-4828-85ba-d3e1ee7963df" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:to="loc_us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted_a0ede563-9fee-4828-85ba-d3e1ee7963df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_137b6c4b-eb64-4bd7-829e-1ee2f1e2f6c9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_137b6c4b-eb64-4bd7-829e-1ee2f1e2f6c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasicAndDiluted_fdf2a36e-4817-4782-b7ee-048318d4bd84" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareBasicAndDiluted"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_25274909-696c-4be5-b266-6da056915b82" xlink:to="loc_us-gaap_EarningsPerShareBasicAndDiluted_fdf2a36e-4817-4782-b7ee-048318d4bd84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/NoncontrollingInterest" xlink:type="simple" xlink:href="codi-20210331.xsd#NoncontrollingInterest"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/NoncontrollingInterest" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoncontrollingInterestAbstract_a614d6db-5411-44be-bf1a-8fee25367154" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NoncontrollingInterestAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterestDisclosureTextBlock_f71222b4-94c7-4890-a797-be008100ee48" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NoncontrollingInterestAbstract_a614d6db-5411-44be-bf1a-8fee25367154" xlink:to="loc_us-gaap_MinorityInterestDisclosureTextBlock_f71222b4-94c7-4890-a797-be008100ee48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/NoncontrollingInterestTables" xlink:type="simple" xlink:href="codi-20210331.xsd#NoncontrollingInterestTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/NoncontrollingInterestTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoncontrollingInterestAbstract_eea8bd88-da4a-4011-9282-fdf6ecece498" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NoncontrollingInterestAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_NoncontrollingInterestTableTextBlock_c9f31c28-c56c-4414-87f3-9230166c9020" xlink:href="codi-20210331.xsd#codi_NoncontrollingInterestTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NoncontrollingInterestAbstract_eea8bd88-da4a-4011-9282-fdf6ecece498" xlink:to="loc_codi_NoncontrollingInterestTableTextBlock_c9f31c28-c56c-4414-87f3-9230166c9020" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/NoncontrollingInterestCompanysOwnershipPercentageofitsMajorityOwnedOperatingSegmentsandRelatedNoncontrollingInterestDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#NoncontrollingInterestCompanysOwnershipPercentageofitsMajorityOwnedOperatingSegmentsandRelatedNoncontrollingInterestDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/NoncontrollingInterestCompanysOwnershipPercentageofitsMajorityOwnedOperatingSegmentsandRelatedNoncontrollingInterestDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoncontrollingInterestAbstract_fab540c8-714d-4daa-bed5-18e20eac2bde" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NoncontrollingInterestAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterestTable_095e1108-57ca-4361-90a2-beea5668384a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NoncontrollingInterestAbstract_fab540c8-714d-4daa-bed5-18e20eac2bde" xlink:to="loc_us-gaap_MinorityInterestTable_095e1108-57ca-4361-90a2-beea5668384a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_592f2c7d-3b12-4cf1-aee5-9884051da786" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestTable_095e1108-57ca-4361-90a2-beea5668384a" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_592f2c7d-3b12-4cf1-aee5-9884051da786" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_592f2c7d-3b12-4cf1-aee5-9884051da786" xlink:to="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_454abf58-d38a-43bc-b6f5-ef4e3fe82731" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_MarucciMemberMember_454abf58-d38a-43bc-b6f5-ef4e3fe82731" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_3542a50c-fabd-4c89-8d3f-847639530284" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_ArnoldMember_3542a50c-fabd-4c89-8d3f-847639530284" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoCandleLampMember_f0c8956a-2d95-41b1-9946-b7ceeffdc7ef" xlink:href="codi-20210331.xsd#codi_SternoCandleLampMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_SternoCandleLampMember_f0c8956a-2d95-41b1-9946-b7ceeffdc7ef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_5715c7de-407e-442b-9636-e5cdff0e6005" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_VelocityOutdoorMember_5715c7de-407e-442b-9636-e5cdff0e6005" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_3d50c566-8036-475c-bc22-6a343350fe35" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_LibertyMember_3d50c566-8036-475c-bc22-6a343350fe35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_b7a64690-835b-4912-a102-90497d1da7af" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_ErgobabyMember_b7a64690-835b-4912-a102-90497d1da7af" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_cca7e3a9-adc1-4625-a33d-45e597b7eecf" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_A5.11TacticalMember_cca7e3a9-adc1-4625-a33d-45e597b7eecf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_306a1a8f-895f-4dbc-8016-db0c9dc7662f" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_AciMember_306a1a8f-895f-4dbc-8016-db0c9dc7662f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AllocationInterestsMember_f4bf2d2c-d40f-4c04-8b88-774f9f5a00df" xlink:href="codi-20210331.xsd#codi_AllocationInterestsMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_AllocationInterestsMember_f4bf2d2c-d40f-4c04-8b88-774f9f5a00df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_3b2e886c-5a22-4299-84f4-7b567ab33b78" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_BOAMember_3b2e886c-5a22-4299-84f4-7b567ab33b78" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_e32f7d72-2a9d-440f-9ff1-9db50d47b93f" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_d0a782a6-26d4-43a2-89e9-898feccac6be" xlink:to="loc_codi_AltorMember_e32f7d72-2a9d-440f-9ff1-9db50d47b93f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipAxis_f54dca63-7c2f-45e8-9471-30f18442d1cb" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_OwnershipAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestTable_095e1108-57ca-4361-90a2-beea5668384a" xlink:to="loc_srt_OwnershipAxis_f54dca63-7c2f-45e8-9471-30f18442d1cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_OwnershipDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipAxis_f54dca63-7c2f-45e8-9471-30f18442d1cb" xlink:to="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_844ece89-b4f0-4991-ac74-bd51d899cbf3" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_MarucciMemberMember_844ece89-b4f0-4991-ac74-bd51d899cbf3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_59abb3ba-3938-4d1e-b2bf-305285eba45d" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_A5.11TacticalMember_59abb3ba-3938-4d1e-b2bf-305285eba45d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ErgobabyMember_86a4a4e8-4896-4596-aeaf-ef64fce1ad1e" xlink:href="codi-20210331.xsd#codi_ErgobabyMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_ErgobabyMember_86a4a4e8-4896-4596-aeaf-ef64fce1ad1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_f0b008ba-1e08-4f9d-a34b-3e492f5b3316" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_LibertyMember_f0b008ba-1e08-4f9d-a34b-3e492f5b3316" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorOwnershipMember_8844d967-24c8-4db2-9afd-65c9b6ca3d83" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorOwnershipMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_VelocityOutdoorOwnershipMember_8844d967-24c8-4db2-9afd-65c9b6ca3d83" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AciMember_a4d31830-fb13-4fc2-83ac-4919481e8b54" xlink:href="codi-20210331.xsd#codi_AciMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_AciMember_a4d31830-fb13-4fc2-83ac-4919481e8b54" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_ae8272e6-d65a-440a-81f8-a39d7b1043fd" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_ArnoldMember_ae8272e6-d65a-440a-81f8-a39d7b1043fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_4893b352-2539-4208-ba85-c17205a052ba" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_SternoProductsMember_4893b352-2539-4208-ba85-c17205a052ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_705110b7-30d0-4e94-a051-298b4aadbd17" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_BOAMember_705110b7-30d0-4e94-a051-298b4aadbd17" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_1a6fd733-5844-4d73-af52-25da413f881f" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_99b5731b-45c2-44c0-9651-41d660ddd35f" xlink:to="loc_codi_AltorMember_1a6fd733-5844-4d73-af52-25da413f881f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOwnershipInterestsByNameAxis_dba91709-4e86-4d10-baba-0e7e78cf80c6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherOwnershipInterestsByNameAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestTable_095e1108-57ca-4361-90a2-beea5668384a" xlink:to="loc_us-gaap_OtherOwnershipInterestsByNameAxis_dba91709-4e86-4d10-baba-0e7e78cf80c6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOwnershipInterestsNameDomain_bd2e4d47-5f9b-4370-bca3-e5accc5e69c5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherOwnershipInterestsNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherOwnershipInterestsByNameAxis_dba91709-4e86-4d10-baba-0e7e78cf80c6" xlink:to="loc_us-gaap_OtherOwnershipInterestsNameDomain_bd2e4d47-5f9b-4370-bca3-e5accc5e69c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PercentageOwnershipPrimaryMember_3237ed67-7931-40cc-b973-701849e08c84" xlink:href="codi-20210331.xsd#codi_PercentageOwnershipPrimaryMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherOwnershipInterestsNameDomain_bd2e4d47-5f9b-4370-bca3-e5accc5e69c5" xlink:to="loc_codi_PercentageOwnershipPrimaryMember_3237ed67-7931-40cc-b973-701849e08c84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PercentageOwnershipFullyDilutedMember_7d126270-9087-4813-9f31-e9c554c4db6b" xlink:href="codi-20210331.xsd#codi_PercentageOwnershipFullyDilutedMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherOwnershipInterestsNameDomain_bd2e4d47-5f9b-4370-bca3-e5accc5e69c5" xlink:to="loc_codi_PercentageOwnershipFullyDilutedMember_7d126270-9087-4813-9f31-e9c554c4db6b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterestLineItems_08795d6e-5ff3-45a3-a18a-1b2991cde7c5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestTable_095e1108-57ca-4361-90a2-beea5668384a" xlink:to="loc_us-gaap_MinorityInterestLineItems_08795d6e-5ff3-45a3-a18a-1b2991cde7c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_OwnershipPercentageOfNoncontrollingShareholders_91476a99-c06e-4d3f-bf66-d8ca061d8f33" xlink:href="codi-20210331.xsd#codi_OwnershipPercentageOfNoncontrollingShareholders"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestLineItems_08795d6e-5ff3-45a3-a18a-1b2991cde7c5" xlink:to="loc_codi_OwnershipPercentageOfNoncontrollingShareholders_91476a99-c06e-4d3f-bf66-d8ca061d8f33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterestOwnershipPercentageByParent_eebe5063-622d-4da6-ae09-7d75b80fd477" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestOwnershipPercentageByParent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestLineItems_08795d6e-5ff3-45a3-a18a-1b2991cde7c5" xlink:to="loc_us-gaap_MinorityInterestOwnershipPercentageByParent_eebe5063-622d-4da6-ae09-7d75b80fd477" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterest_1e43ec53-bb85-48c5-aff6-e31bc441398c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterest"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MinorityInterestLineItems_08795d6e-5ff3-45a3-a18a-1b2991cde7c5" xlink:to="loc_us-gaap_MinorityInterest_1e43ec53-bb85-48c5-aff6-e31bc441398c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/FairValueMeasurement" xlink:type="simple" xlink:href="codi-20210331.xsd#FairValueMeasurement"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/FairValueMeasurement" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_cb16adab-dbd0-4416-b9e6-2e06614ea762" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock_31d6d0ae-1133-49a0-af4c-fb0563aa6b94" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_cb16adab-dbd0-4416-b9e6-2e06614ea762" xlink:to="loc_us-gaap_FairValueDisclosuresTextBlock_31d6d0ae-1133-49a0-af4c-fb0563aa6b94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/FairValueMeasurementTables" xlink:type="simple" xlink:href="codi-20210331.xsd#FairValueMeasurementTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/FairValueMeasurementTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_dd35696a-342a-405e-8523-6a8c3d6e2747" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_bbde7a66-be9a-46d4-a67d-5f0702450300" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_dd35696a-342a-405e-8523-6a8c3d6e2747" xlink:to="loc_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_bbde7a66-be9a-46d4-a67d-5f0702450300" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_c75ee3ae-bd87-4f93-b4f7-7d0d098280c6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_dd35696a-342a-405e-8523-6a8c3d6e2747" xlink:to="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_c75ee3ae-bd87-4f93-b4f7-7d0d098280c6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/FairValueMeasurementSummaryofLiabilitiesCarriedatFairValueMeasuredonRecurringBasisDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#FairValueMeasurementSummaryofLiabilitiesCarriedatFairValueMeasuredonRecurringBasisDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/FairValueMeasurementSummaryofLiabilitiesCarriedatFairValueMeasuredonRecurringBasisDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_bd83f41d-eb91-4328-9c79-5d068d1948ff" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_bd83f41d-eb91-4328-9c79-5d068d1948ff" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_301c80a7-3bd3-4756-8839-b3dd19a9172b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_DebtInstrumentAxis_301c80a7-3bd3-4756-8839-b3dd19a9172b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_cbdf448c-a49f-4951-92fb-b9c4a19f379d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_301c80a7-3bd3-4756-8839-b3dd19a9172b" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_cbdf448c-a49f-4951-92fb-b9c4a19f379d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_b57215fe-37c4-4d37-8867-02770640f6b5" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_cbdf448c-a49f-4951-92fb-b9c4a19f379d" xlink:to="loc_codi_Seniornotesdue2026Member_b57215fe-37c4-4d37-8867-02770640f6b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_bfc06ed0-e70a-4e98-af3e-87fe9dec6af2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_bfc06ed0-e70a-4e98-af3e-87fe9dec6af2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_1cc495e0-7adf-485e-b10c-b24cfe8015da" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_bfc06ed0-e70a-4e98-af3e-87fe9dec6af2" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_1cc495e0-7adf-485e-b10c-b24cfe8015da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementFrequencyAxis_32ffa32d-f21a-4e6f-8d32-369e0d4ff8f5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_FairValueByMeasurementFrequencyAxis_32ffa32d-f21a-4e6f-8d32-369e0d4ff8f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementFrequencyDomain_94828f2d-63d7-42cf-a630-3e2f267e4ef1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementFrequencyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementFrequencyAxis_32ffa32d-f21a-4e6f-8d32-369e0d4ff8f5" xlink:to="loc_us-gaap_FairValueMeasurementFrequencyDomain_94828f2d-63d7-42cf-a630-3e2f267e4ef1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsRecurringMember_22fe651c-d41c-412e-9c5c-457af78cf136" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementFrequencyDomain_94828f2d-63d7-42cf-a630-3e2f267e4ef1" xlink:to="loc_us-gaap_FairValueMeasurementsRecurringMember_22fe651c-d41c-412e-9c5c-457af78cf136" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_6544b958-cd2a-49d6-9831-d2adae48fba9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_6544b958-cd2a-49d6-9831-d2adae48fba9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_446368c0-3114-4fc2-8001-fccd3a7397d2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_6544b958-cd2a-49d6-9831-d2adae48fba9" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_446368c0-3114-4fc2-8001-fccd3a7397d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member_a99ea35c-906a-4b8f-9483-a82bac99973c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_446368c0-3114-4fc2-8001-fccd3a7397d2" xlink:to="loc_us-gaap_FairValueInputsLevel1Member_a99ea35c-906a-4b8f-9483-a82bac99973c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member_14f5e2b5-64be-45cf-9539-f54789c2a71a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_446368c0-3114-4fc2-8001-fccd3a7397d2" xlink:to="loc_us-gaap_FairValueInputsLevel2Member_14f5e2b5-64be-45cf-9539-f54789c2a71a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_f9a620d8-bee8-49ee-8608-77142ff5c79b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_446368c0-3114-4fc2-8001-fccd3a7397d2" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_f9a620d8-bee8-49ee-8608-77142ff5c79b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis_06bf649b-73b8-4cde-8ddf-3af2492e240d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_FairValueByMeasurementBasisAxis_06bf649b-73b8-4cde-8ddf-3af2492e240d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain_38a5b155-89db-4b34-90e9-5c0c580c3108" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis_06bf649b-73b8-4cde-8ddf-3af2492e240d" xlink:to="loc_us-gaap_FairValueDisclosureItemAmountsDomain_38a5b155-89db-4b34-90e9-5c0c580c3108" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_3bc2520b-7f6e-43b2-9375-b06e87c7b44e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_38a5b155-89db-4b34-90e9-5c0c580c3108" xlink:to="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_3bc2520b-7f6e-43b2-9375-b06e87c7b44e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_469d9a11-b27c-4e4f-99df-995ba0185ed5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_38a5b155-89db-4b34-90e9-5c0c580c3108" xlink:to="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_469d9a11-b27c-4e4f-99df-995ba0185ed5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember_ebe91a14-22ae-4d33-88a6-9dafa829ffb9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_38a5b155-89db-4b34-90e9-5c0c580c3108" xlink:to="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember_ebe91a14-22ae-4d33-88a6-9dafa829ffb9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContingentConsiderationByTypeAxis_f977de2e-1d16-4622-b4cc-4bb757316edc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ContingentConsiderationByTypeAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_ContingentConsiderationByTypeAxis_f977de2e-1d16-4622-b4cc-4bb757316edc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContingentConsiderationTypeDomain_ef5d178a-8a6c-4a05-82c8-6dddc12b2271" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ContingentConsiderationTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ContingentConsiderationByTypeAxis_f977de2e-1d16-4622-b4cc-4bb757316edc" xlink:to="loc_us-gaap_ContingentConsiderationTypeDomain_ef5d178a-8a6c-4a05-82c8-6dddc12b2271" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessAcquisitionMember_08bc9cc3-e01c-47f7-8bad-98f42455f6fc" xlink:href="codi-20210331.xsd#codi_BusinessAcquisitionMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ContingentConsiderationTypeDomain_ef5d178a-8a6c-4a05-82c8-6dddc12b2271" xlink:to="loc_codi_BusinessAcquisitionMember_08bc9cc3-e01c-47f7-8bad-98f42455f6fc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_365c6ee9-47e2-4976-b7ce-2084b1dd29d1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_da5c9d7c-b85d-4fe5-ae86-93a33bfe3e2b" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_365c6ee9-47e2-4976-b7ce-2084b1dd29d1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForContingentConsiderationLiabilityInvestingActivities_d0a295bc-1f9a-47a8-9048-12466311f817" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentForContingentConsiderationLiabilityInvestingActivities"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_365c6ee9-47e2-4976-b7ce-2084b1dd29d1" xlink:to="loc_us-gaap_PaymentForContingentConsiderationLiabilityInvestingActivities_d0a295bc-1f9a-47a8-9048-12466311f817" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisAbstract_fed838cf-59e0-4fe6-98ee-313896c0de42" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_365c6ee9-47e2-4976-b7ce-2084b1dd29d1" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisAbstract_fed838cf-59e0-4fe6-98ee-313896c0de42" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PutOptionOfNoncontrollingShareholders_a95c372e-adf1-430e-b38c-94ea2021c6b1" xlink:href="codi-20210331.xsd#codi_PutOptionOfNoncontrollingShareholders"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisAbstract_fed838cf-59e0-4fe6-98ee-313896c0de42" xlink:to="loc_codi_PutOptionOfNoncontrollingShareholders_a95c372e-adf1-430e-b38c-94ea2021c6b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_dd768faa-3969-4c95-bf03-bf25a87a76b6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisAbstract_fed838cf-59e0-4fe6-98ee-313896c0de42" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_dd768faa-3969-4c95-bf03-bf25a87a76b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Debtissuanceaggregateprincipalamount_6390908f-fb8b-4613-a6b7-bfacc800d413" xlink:href="codi-20210331.xsd#codi_Debtissuanceaggregateprincipalamount"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_365c6ee9-47e2-4976-b7ce-2084b1dd29d1" xlink:to="loc_codi_Debtissuanceaggregateprincipalamount_6390908f-fb8b-4613-a6b7-bfacc800d413" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/FairValueMeasurementReconciliationsofChangeinCarryingValueofLevel3FairValueMeasurementsDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#FairValueMeasurementReconciliationsofChangeinCarryingValueofLevel3FairValueMeasurementsDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/FairValueMeasurementReconciliationsofChangeinCarryingValueofLevel3FairValueMeasurementsDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_2e7c9b57-6934-41f2-b0ca-a0ef74c365c4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_08a2438f-f957-42f8-8eac-51f7985fe10e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_2e7c9b57-6934-41f2-b0ca-a0ef74c365c4" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_08a2438f-f957-42f8-8eac-51f7985fe10e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_ca9dba07-390d-4f53-afa9-6498b10e9956" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_08a2438f-f957-42f8-8eac-51f7985fe10e" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_ca9dba07-390d-4f53-afa9-6498b10e9956" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_a2cd786b-03a6-4b5c-b472-48b4a492055f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_ca9dba07-390d-4f53-afa9-6498b10e9956" xlink:to="loc_us-gaap_SegmentDomain_a2cd786b-03a6-4b5c-b472-48b4a492055f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_6d3f41d3-3ef8-4280-8d77-401b047b4da6" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_a2cd786b-03a6-4b5c-b472-48b4a492055f" xlink:to="loc_codi_LibertyMember_6d3f41d3-3ef8-4280-8d77-401b047b4da6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_822605cc-281a-406e-87f6-560a039f6afb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_08a2438f-f957-42f8-8eac-51f7985fe10e" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_822605cc-281a-406e-87f6-560a039f6afb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e05c39e5-40ca-4e6a-a63c-c0caddf4e0f4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_822605cc-281a-406e-87f6-560a039f6afb" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e05c39e5-40ca-4e6a-a63c-c0caddf4e0f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_A5.11TacticalMember_dcb9dba1-9eca-45db-aa23-cd66a893d445" xlink:href="codi-20210331.xsd#codi_A5.11TacticalMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e05c39e5-40ca-4e6a-a63c-c0caddf4e0f4" xlink:to="loc_codi_A5.11TacticalMember_dcb9dba1-9eca-45db-aa23-cd66a893d445" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_LibertyMember_79c0175d-6b41-467d-8375-e83faa834aa2" xlink:href="codi-20210331.xsd#codi_LibertyMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e05c39e5-40ca-4e6a-a63c-c0caddf4e0f4" xlink:to="loc_codi_LibertyMember_79c0175d-6b41-467d-8375-e83faa834aa2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_AltorMember_2f0f055d-c782-4b3e-a30f-c91ea8a918df" xlink:href="codi-20210331.xsd#codi_AltorMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_e05c39e5-40ca-4e6a-a63c-c0caddf4e0f4" xlink:to="loc_codi_AltorMember_2f0f055d-c782-4b3e-a30f-c91ea8a918df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_08a2438f-f957-42f8-8eac-51f7985fe10e" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_d63d1893-0109-4b50-81b2-21d9264c68d5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_d63d1893-0109-4b50-81b2-21d9264c68d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedPeriodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome_5fefdedf-9bbb-44bb-b2b2-d2043bec7d14" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome_5fefdedf-9bbb-44bb-b2b2-d2043bec7d14" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_8447ce96-f387-4b2c-8b7d-9c95f6e7a097" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_8447ce96-f387-4b2c-8b7d-9c95f6e7a097" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedPeriodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues_d14b26e5-8f17-4c6f-86e3-f82b113a95f4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues_d14b26e5-8f17-4c6f-86e3-f82b113a95f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForContingentConsiderationLiabilityInvestingActivities_d47dedf7-c179-4dc8-8484-e248d8a868a5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentForContingentConsiderationLiabilityInvestingActivities"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_eb4e3aa3-7489-4af9-9427-41103faaaa49" xlink:to="loc_us-gaap_PaymentForContingentConsiderationLiabilityInvestingActivities_d47dedf7-c179-4dc8-8484-e248d8a868a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/FairValueMeasurementAssetsMeasuredonNonrecurringBasisDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#FairValueMeasurementAssetsMeasuredonNonrecurringBasisDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/FairValueMeasurementAssetsMeasuredonNonrecurringBasisDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_5c6f422c-ebc6-4a8f-b09e-b6dae6ed0c4c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_5c6f422c-ebc6-4a8f-b09e-b6dae6ed0c4c" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_c8c88a8f-a51e-46b2-9d94-59e4e65569df" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_c8c88a8f-a51e-46b2-9d94-59e4e65569df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_28212dd3-bf69-4718-8d01-8bad468e3290" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_c8c88a8f-a51e-46b2-9d94-59e4e65569df" xlink:to="loc_us-gaap_SegmentDomain_28212dd3-bf69-4718-8d01-8bad468e3290" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_baabdef3-8dc1-41a4-bc50-5de7a831e3aa" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_28212dd3-bf69-4718-8d01-8bad468e3290" xlink:to="loc_codi_VelocityOutdoorMember_baabdef3-8dc1-41a4-bc50-5de7a831e3aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_389c9e35-1210-4475-9a04-2a2767438851" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_389c9e35-1210-4475-9a04-2a2767438851" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_2d5f4f14-7813-4572-968d-3029f9f247cc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_389c9e35-1210-4475-9a04-2a2767438851" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_2d5f4f14-7813-4572-968d-3029f9f247cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_b510bc2e-2f12-480e-9bc4-02a233e20d11" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_b510bc2e-2f12-480e-9bc4-02a233e20d11" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_efdd6fd4-b16a-4dd9-b246-645591e0e367" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_b510bc2e-2f12-480e-9bc4-02a233e20d11" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_efdd6fd4-b16a-4dd9-b246-645591e0e367" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_b6b30740-3a14-4d83-b614-6b13836b52c9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_b6b30740-3a14-4d83-b614-6b13836b52c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_3892f0f3-745a-4d42-8868-3d50504f5d9e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis_b6b30740-3a14-4d83-b614-6b13836b52c9" xlink:to="loc_us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_3892f0f3-745a-4d42-8868-3d50504f5d9e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_adacb6fc-18da-4502-a94d-43b3fba2b419" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_3892f0f3-745a-4d42-8868-3d50504f5d9e" xlink:to="loc_us-gaap_TradeNamesMember_adacb6fc-18da-4502-a94d-43b3fba2b419" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_8a4185a0-ea2d-4819-b3e6-41701949357a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_8a4185a0-ea2d-4819-b3e6-41701949357a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_11cb6876-e352-411b-95b9-d9985e9181c9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_8a4185a0-ea2d-4819-b3e6-41701949357a" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_11cb6876-e352-411b-95b9-d9985e9181c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradeNamesMember_5637b45c-4388-4a8b-b150-3517bc83e785" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TradeNamesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_11cb6876-e352-411b-95b9-d9985e9181c9" xlink:to="loc_us-gaap_TradeNamesMember_5637b45c-4388-4a8b-b150-3517bc83e785" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CustomerRelationshipsMember_7a051111-2a55-484d-8b5a-26918ee30644" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CustomerRelationshipsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_11cb6876-e352-411b-95b9-d9985e9181c9" xlink:to="loc_us-gaap_CustomerRelationshipsMember_7a051111-2a55-484d-8b5a-26918ee30644" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis_5526d70a-291f-45dc-a7a3-1562c56becaa" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_FairValueByMeasurementBasisAxis_5526d70a-291f-45dc-a7a3-1562c56becaa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain_47b1ac77-6c7c-440d-9652-2c81a66297c2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis_5526d70a-291f-45dc-a7a3-1562c56becaa" xlink:to="loc_us-gaap_FairValueDisclosureItemAmountsDomain_47b1ac77-6c7c-440d-9652-2c81a66297c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_ed9576ec-2479-4322-956d-b7396dc6110e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_47b1ac77-6c7c-440d-9652-2c81a66297c2" xlink:to="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_ed9576ec-2479-4322-956d-b7396dc6110e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_d61d3fe6-50b2-40f8-bd86-c6dd8cd9f296" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_47b1ac77-6c7c-440d-9652-2c81a66297c2" xlink:to="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_d61d3fe6-50b2-40f8-bd86-c6dd8cd9f296" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember_9ae4a4a9-f09e-4e6b-8353-377aad77b340" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_47b1ac77-6c7c-440d-9652-2c81a66297c2" xlink:to="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember_9ae4a4a9-f09e-4e6b-8353-377aad77b340" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_9593675c-1ea0-46a2-8a6f-389f413ede6e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_9593675c-1ea0-46a2-8a6f-389f413ede6e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_a6ed13b1-3d9a-4dff-a8d4-73cfe5fe846c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_9593675c-1ea0-46a2-8a6f-389f413ede6e" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_a6ed13b1-3d9a-4dff-a8d4-73cfe5fe846c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member_1d85ae55-5876-40c7-89a7-0a98fa8541a0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_a6ed13b1-3d9a-4dff-a8d4-73cfe5fe846c" xlink:to="loc_us-gaap_FairValueInputsLevel1Member_1d85ae55-5876-40c7-89a7-0a98fa8541a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member_c71a5485-9e9e-47d1-87f9-4c30642400b2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_a6ed13b1-3d9a-4dff-a8d4-73cfe5fe846c" xlink:to="loc_us-gaap_FairValueInputsLevel2Member_c71a5485-9e9e-47d1-87f9-4c30642400b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_b5bcee47-86b7-4d54-8c29-90e07b1d32cf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_a6ed13b1-3d9a-4dff-a8d4-73cfe5fe846c" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_b5bcee47-86b7-4d54-8c29-90e07b1d32cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9a78ffc0-84e0-4cea-a301-b3fef4c7db35" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_7d62af4d-e036-4e88-ac07-ef22b73848b4" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9a78ffc0-84e0-4cea-a301-b3fef4c7db35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_38339423-6b0e-4b33-acdf-5558d704e0c4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9a78ffc0-84e0-4cea-a301-b3fef4c7db35" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_38339423-6b0e-4b33-acdf-5558d704e0c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotes_cde1f6a3-b385-4859-b83c-a0751c614a58" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeniorNotes"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9a78ffc0-84e0-4cea-a301-b3fef4c7db35" xlink:to="loc_us-gaap_SeniorNotes_cde1f6a3-b385-4859-b83c-a0751c614a58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtFairValue_862da554-898e-47c6-aeea-940812bbe42e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtFairValue"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9a78ffc0-84e0-4cea-a301-b3fef4c7db35" xlink:to="loc_us-gaap_LongTermDebtFairValue_862da554-898e-47c6-aeea-940812bbe42e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/FairValueMeasurementAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#FairValueMeasurementAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/FairValueMeasurementAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_619a3d2f-d63d-4cbc-ba7c-c6f7ff25e321" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_3eafdc73-e74f-4187-8ecf-ecb53b9cf1b2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_619a3d2f-d63d-4cbc-ba7c-c6f7ff25e321" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_3eafdc73-e74f-4187-8ecf-ecb53b9cf1b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_e6d8c0fb-b758-4fa3-a255-c9655745f840" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_3eafdc73-e74f-4187-8ecf-ecb53b9cf1b2" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_e6d8c0fb-b758-4fa3-a255-c9655745f840" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7c04f90e-fb53-4fc9-a439-83707b0e4d6b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_e6d8c0fb-b758-4fa3-a255-c9655745f840" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7c04f90e-fb53-4fc9-a439-83707b0e4d6b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_8111d434-b451-4a43-89c0-e82f6d50357b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_3eafdc73-e74f-4187-8ecf-ecb53b9cf1b2" xlink:to="loc_us-gaap_CreditFacilityAxis_8111d434-b451-4a43-89c0-e82f6d50357b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_52f29a9a-16a4-42c0-a7d8-857c56e966ba" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_8111d434-b451-4a43-89c0-e82f6d50357b" xlink:to="loc_us-gaap_CreditFacilityDomain_52f29a9a-16a4-42c0-a7d8-857c56e966ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanFacilityMember_8b25b2fc-c8f2-447c-837e-16690159e291" xlink:href="codi-20210331.xsd#codi_TermLoanFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_52f29a9a-16a4-42c0-a7d8-857c56e966ba" xlink:to="loc_codi_TermLoanFacilityMember_8b25b2fc-c8f2-447c-837e-16690159e291" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_3271e8d9-370b-4bd6-b3e4-f89372a2258d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_3eafdc73-e74f-4187-8ecf-ecb53b9cf1b2" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_3271e8d9-370b-4bd6-b3e4-f89372a2258d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_2b7f7c22-faef-4608-9a0f-c1ad4ecd4976" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_3271e8d9-370b-4bd6-b3e4-f89372a2258d" xlink:to="loc_dei_DocumentPeriodEndDate_2b7f7c22-faef-4608-9a0f-c1ad4ecd4976" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_772efb73-6ab0-4b6a-96dc-433ebc1b7965" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_3271e8d9-370b-4bd6-b3e4-f89372a2258d" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_772efb73-6ab0-4b6a-96dc-433ebc1b7965" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/IncomeTaxes" xlink:type="simple" xlink:href="codi-20210331.xsd#IncomeTaxes"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/IncomeTaxes" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract_1e6e9d3d-c425-4d92-a252-cbb4884c5820" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureTextBlock_8070399c-9a70-49c9-b80e-dfb3576ebaa2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_1e6e9d3d-c425-4d92-a252-cbb4884c5820" xlink:to="loc_us-gaap_IncomeTaxDisclosureTextBlock_8070399c-9a70-49c9-b80e-dfb3576ebaa2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/IncomeTaxesTables" xlink:type="simple" xlink:href="codi-20210331.xsd#IncomeTaxesTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/IncomeTaxesTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract_3b6872e2-2c43-4139-a705-a4c0505b08b7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_1a1fc71c-10ec-4064-a8e7-b4f530b146ae" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_3b6872e2-2c43-4139-a705-a4c0505b08b7" xlink:to="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_1a1fc71c-10ec-4064-a8e7-b4f530b146ae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/IncomeTaxesReconciliationbetweenFederalStatutoryRateandEffectiveIncomeTaxRateDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#IncomeTaxesReconciliationbetweenFederalStatutoryRateandEffectiveIncomeTaxRateDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/IncomeTaxesReconciliationbetweenFederalStatutoryRateandEffectiveIncomeTaxRateDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract_c3ce96ec-5623-49e3-bd54-684d628e7898" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxContingencyTable_9dfee6cd-b1c5-47e0-ac63-4562abd7aca8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxContingencyTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_c3ce96ec-5623-49e3-bd54-684d628e7898" xlink:to="loc_us-gaap_IncomeTaxContingencyTable_9dfee6cd-b1c5-47e0-ac63-4562abd7aca8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityAxis_8efd1e67-6999-4aab-95f6-3da02457b9b9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxAuthorityAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyTable_9dfee6cd-b1c5-47e0-ac63-4562abd7aca8" xlink:to="loc_us-gaap_IncomeTaxAuthorityAxis_8efd1e67-6999-4aab-95f6-3da02457b9b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityDomain_c10c5490-6f2c-4fd2-8fda-e0a83173ce3c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxAuthorityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxAuthorityAxis_8efd1e67-6999-4aab-95f6-3da02457b9b9" xlink:to="loc_us-gaap_IncomeTaxAuthorityDomain_c10c5490-6f2c-4fd2-8fda-e0a83173ce3c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityNameAxis_d2924acb-271e-4f2e-bda7-a078394d9041" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxAuthorityNameAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyTable_9dfee6cd-b1c5-47e0-ac63-4562abd7aca8" xlink:to="loc_us-gaap_IncomeTaxAuthorityNameAxis_d2924acb-271e-4f2e-bda7-a078394d9041" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityNameDomain_35cf7a37-599a-476d-9ece-ecdf064c21a8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxAuthorityNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxAuthorityNameAxis_d2924acb-271e-4f2e-bda7-a078394d9041" xlink:to="loc_us-gaap_IncomeTaxAuthorityNameDomain_35cf7a37-599a-476d-9ece-ecdf064c21a8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxPeriodAxis_48f66c41-e15c-48d0-bea8-b5e285391c1a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TaxPeriodAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyTable_9dfee6cd-b1c5-47e0-ac63-4562abd7aca8" xlink:to="loc_us-gaap_TaxPeriodAxis_48f66c41-e15c-48d0-bea8-b5e285391c1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxPeriodDomain_6a762bc2-5b8a-4e2c-9312-d1fe23a75a50" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TaxPeriodDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_TaxPeriodAxis_48f66c41-e15c-48d0-bea8-b5e285391c1a" xlink:to="loc_us-gaap_TaxPeriodDomain_6a762bc2-5b8a-4e2c-9312-d1fe23a75a50" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxContingencyLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyTable_9dfee6cd-b1c5-47e0-ac63-4562abd7aca8" xlink:to="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_2590977e-40f4-44f6-a983-45bbbd3edc66" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_2590977e-40f4-44f6-a983-45bbbd3edc66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_91d2b45e-918d-476c-82cc-c6411188ab51" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_91d2b45e-918d-476c-82cc-c6411188ab51" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsForeign_04fc63c4-fff5-4ca8-a0d5-fa6295719514" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsForeign"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsForeign_04fc63c4-fff5-4ca8-a0d5-fa6295719514" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ExpensesOfParentTaxedAsPartnershipPassedThroughToShareholders_5f2b7bfb-81fd-47bc-937a-e5ec4a3cf0e4" xlink:href="codi-20210331.xsd#codi_ExpensesOfParentTaxedAsPartnershipPassedThroughToShareholders"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_codi_ExpensesOfParentTaxedAsPartnershipPassedThroughToShareholders_5f2b7bfb-81fd-47bc-937a-e5ec4a3cf0e4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ImpactOfSubsidiaryEmployeeStockOptions_84d7ca78-a019-485a-bd81-d2ca3e973472" xlink:href="codi-20210331.xsd#codi_ImpactOfSubsidiaryEmployeeStockOptions"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_codi_ImpactOfSubsidiaryEmployeeStockOptions_84d7ca78-a019-485a-bd81-d2ca3e973472" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits_89362688-1961-4200-b8e5-cb1fd44fddf3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits_89362688-1961-4200-b8e5-cb1fd44fddf3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_EffectiveIncomeTaxRateReconciliationNonRecognitionOfNolCarryForwardsAtSubsidiaries_94758bc7-5638-450e-bf7e-61d6dd73c3ca" xlink:href="codi-20210331.xsd#codi_EffectiveIncomeTaxRateReconciliationNonRecognitionOfNolCarryForwardsAtSubsidiaries"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_codi_EffectiveIncomeTaxRateReconciliationNonRecognitionOfNolCarryForwardsAtSubsidiaries_94758bc7-5638-450e-bf7e-61d6dd73c3ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_EffectiveIncomeTaxReconciliationOperatingLossCarryforwardsLimitationsOnUsePercent_7e4d2e21-19ba-4758-913b-e04e421ead8a" xlink:href="codi-20210331.xsd#codi_EffectiveIncomeTaxReconciliationOperatingLossCarryforwardsLimitationsOnUsePercent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_codi_EffectiveIncomeTaxReconciliationOperatingLossCarryforwardsLimitationsOnUsePercent_7e4d2e21-19ba-4758-913b-e04e421ead8a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_a79e2f95-80d7-4dcb-9040-806dd4369da7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_a79e2f95-80d7-4dcb-9040-806dd4369da7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_61100e21-186c-4b3f-9e4a-bea11f9a77de" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxContingencyLineItems_57ff2a34-4538-4659-928e-5152d8d089c7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_61100e21-186c-4b3f-9e4a-bea11f9a77de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DefinedBenefitPlan" xlink:type="simple" xlink:href="codi-20210331.xsd#DefinedBenefitPlan"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DefinedBenefitPlan" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_bbc70195-7733-4fb6-b77c-80a11c31e242" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CompensationAndEmployeeBenefitPlansTextBlock_c5997022-9bd7-442f-bd7b-60f26d5bf43a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CompensationAndEmployeeBenefitPlansTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_bbc70195-7733-4fb6-b77c-80a11c31e242" xlink:to="loc_us-gaap_CompensationAndEmployeeBenefitPlansTextBlock_c5997022-9bd7-442f-bd7b-60f26d5bf43a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DefinedBenefitPlanTables" xlink:type="simple" xlink:href="codi-20210331.xsd#DefinedBenefitPlanTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DefinedBenefitPlanTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_6d904f2a-ec59-4c78-bcd3-4edb08c3295b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfNetBenefitCostsTableTextBlock_1b3794a0-4df3-4732-bb93-c5d79e006c72" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfNetBenefitCostsTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_6d904f2a-ec59-4c78-bcd3-4edb08c3295b" xlink:to="loc_us-gaap_ScheduleOfNetBenefitCostsTableTextBlock_1b3794a0-4df3-4732-bb93-c5d79e006c72" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DefinedBenefitPlanAdditionalInformationDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#DefinedBenefitPlanAdditionalInformationDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DefinedBenefitPlanAdditionalInformationDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_a4de5db7-21b7-4aaf-8275-acbbd647564b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansDisclosuresTable_7487a6af-12ec-4f78-a140-485908998e64" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansDisclosuresTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_a4de5db7-21b7-4aaf-8275-acbbd647564b" xlink:to="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansDisclosuresTable_7487a6af-12ec-4f78-a140-485908998e64" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_aa814994-f787-48aa-9d88-f95f61b57761" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansDisclosuresTable_7487a6af-12ec-4f78-a140-485908998e64" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_aa814994-f787-48aa-9d88-f95f61b57761" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_e89bb0d0-fd19-481a-9cf1-480f88cdc5c8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_aa814994-f787-48aa-9d88-f95f61b57761" xlink:to="loc_us-gaap_SegmentDomain_e89bb0d0-fd19-481a-9cf1-480f88cdc5c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ArnoldMember_07abb71a-6eaa-4e63-81d3-9789a0a5e762" xlink:href="codi-20210331.xsd#codi_ArnoldMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_e89bb0d0-fd19-481a-9cf1-480f88cdc5c8" xlink:to="loc_codi_ArnoldMember_07abb71a-6eaa-4e63-81d3-9789a0a5e762" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansTableTextBlockLineItems_430cb0e2-7a9c-4867-9dae-b01a252f565f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansTableTextBlockLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansDisclosuresTable_7487a6af-12ec-4f78-a140-485908998e64" xlink:to="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansTableTextBlockLineItems_430cb0e2-7a9c-4867-9dae-b01a252f565f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount_6ee3b2aa-bafc-4740-b569-202a65d8d564" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansTableTextBlockLineItems_430cb0e2-7a9c-4867-9dae-b01a252f565f" xlink:to="loc_us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount_6ee3b2aa-bafc-4740-b569-202a65d8d564" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanFundedStatusOfPlan_7e0f7f8d-a75e-4eab-953b-9d859d5dc64d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanFundedStatusOfPlan"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansTableTextBlockLineItems_430cb0e2-7a9c-4867-9dae-b01a252f565f" xlink:to="loc_us-gaap_DefinedBenefitPlanFundedStatusOfPlan_7e0f7f8d-a75e-4eab-953b-9d859d5dc64d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanExpectedFutureEmployerContributionsRemainderOfFiscalYear_3c494d57-4635-4fd6-852b-0832aa1d4b1a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanExpectedFutureEmployerContributionsRemainderOfFiscalYear"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DefinedBenefitPlansAndOtherPostretirementBenefitPlansTableTextBlockLineItems_430cb0e2-7a9c-4867-9dae-b01a252f565f" xlink:to="loc_us-gaap_DefinedBenefitPlanExpectedFutureEmployerContributionsRemainderOfFiscalYear_3c494d57-4635-4fd6-852b-0832aa1d4b1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/DefinedBenefitPlanSummaryofNetPeriodicBenefitCostDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#DefinedBenefitPlanSummaryofNetPeriodicBenefitCostDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/DefinedBenefitPlanSummaryofNetPeriodicBenefitCostDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanServiceCost_b4467e46-2107-4a73-9be5-3b12b776a9d0" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanServiceCost"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:to="loc_us-gaap_DefinedBenefitPlanServiceCost_b4467e46-2107-4a73-9be5-3b12b776a9d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanInterestCost_afa3d464-458c-4a6d-a7a4-9b267a666d64" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanInterestCost"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:to="loc_us-gaap_DefinedBenefitPlanInterestCost_afa3d464-458c-4a6d-a7a4-9b267a666d64" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets_9e0e7d0e-4399-491c-87db-2e7ba5fcf76f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:to="loc_us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets_9e0e7d0e-4399-491c-87db-2e7ba5fcf76f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses_1daf7215-93d5-46ad-af25-1fe523e41f84" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:to="loc_us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses_1daf7215-93d5-46ad-af25-1fe523e41f84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsAndCurtailments1_6e399890-b1b9-4321-b760-807c5824c6a1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsAndCurtailments1"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:to="loc_us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsAndCurtailments1_6e399890-b1b9-4321-b760-807c5824c6a1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_e27c10ce-90d2-4b9e-8be5-0df268f3d13c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CompensationAndRetirementDisclosureAbstract_407b3016-806b-4537-98d2-3d6bb2baeb03" xlink:to="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_e27c10ce-90d2-4b9e-8be5-0df268f3d13c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingencies" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingencies"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingencies" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_83b1d901-03bc-4b97-be2a-92553d848d94" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_6050f7fd-7658-4974-ba18-334422faa3dc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_83b1d901-03bc-4b97-be2a-92553d848d94" xlink:to="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_6050f7fd-7658-4974-ba18-334422faa3dc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesTables" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92d15479-b0aa-4797-bb9b-d94b3e7cdd0a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_da1b8d23-72a0-415e-ad28-071f68da1e78" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SupplementalBalanceSheetDisclosuresTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92d15479-b0aa-4797-bb9b-d94b3e7cdd0a" xlink:to="loc_us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_da1b8d23-72a0-415e-ad28-071f68da1e78" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock_00ca62e9-4108-4529-aef7-723bcc41ae1e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92d15479-b0aa-4797-bb9b-d94b3e7cdd0a" xlink:to="loc_us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock_00ca62e9-4108-4529-aef7-723bcc41ae1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeasesOfLesseeDisclosureTextBlock_002971da-8bcb-455e-83af-2cbb25511885" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeasesOfLesseeDisclosureTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92d15479-b0aa-4797-bb9b-d94b3e7cdd0a" xlink:to="loc_us-gaap_OperatingLeasesOfLesseeDisclosureTextBlock_002971da-8bcb-455e-83af-2cbb25511885" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_fd1593f2-2be6-449c-914e-a6c28297a860" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92d15479-b0aa-4797-bb9b-d94b3e7cdd0a" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_fd1593f2-2be6-449c-914e-a6c28297a860" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesComponentsofOperatingLeasesDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesComponentsofOperatingLeasesDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesComponentsofOperatingLeasesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_82af8f9b-ee14-4545-a5b3-8a27ccf140cf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_23c0b6da-1b28-4b40-881d-a9fb1382b3ad" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseCost"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_82af8f9b-ee14-4545-a5b3-8a27ccf140cf" xlink:to="loc_us-gaap_OperatingLeaseCost_23c0b6da-1b28-4b40-881d-a9fb1382b3ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeasePayments_7ccbabf8-85bd-432e-b49a-b4231694e48a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeasePayments"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_82af8f9b-ee14-4545-a5b3-8a27ccf140cf" xlink:to="loc_us-gaap_OperatingLeasePayments_7ccbabf8-85bd-432e-b49a-b4231694e48a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_9dfed530-0585-4246-a998-0e92a946daad" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_82af8f9b-ee14-4545-a5b3-8a27ccf140cf" xlink:to="loc_us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_9dfed530-0585-4246-a998-0e92a946daad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsTable_9aa9e6fe-c68b-43ae-9c20-c5aa31c48c83" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherCommitmentsTable"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_82af8f9b-ee14-4545-a5b3-8a27ccf140cf" xlink:to="loc_us-gaap_OtherCommitmentsTable_9aa9e6fe-c68b-43ae-9c20-c5aa31c48c83" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_cf59ef31-9d6e-4baf-be85-488ad85d6812" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_9aa9e6fe-c68b-43ae-9c20-c5aa31c48c83" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_cf59ef31-9d6e-4baf-be85-488ad85d6812" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_1a76b178-1622-43b5-ae33-36c2e1daedcf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_cf59ef31-9d6e-4baf-be85-488ad85d6812" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_1a76b178-1622-43b5-ae33-36c2e1daedcf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncurrentAssetsMember_e41c4234-ab65-418e-8e8e-44a7550be36f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncurrentAssetsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_1a76b178-1622-43b5-ae33-36c2e1daedcf" xlink:to="loc_us-gaap_OtherNoncurrentAssetsMember_e41c4234-ab65-418e-8e8e-44a7550be36f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCurrentLiabilitiesMember_55ce2c55-8cbf-4a35-8c92-6d0de3506a59" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherCurrentLiabilitiesMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_1a76b178-1622-43b5-ae33-36c2e1daedcf" xlink:to="loc_us-gaap_OtherCurrentLiabilitiesMember_55ce2c55-8cbf-4a35-8c92-6d0de3506a59" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncurrentLiabilitiesMember_09c8cdb6-2a78-4222-804e-d8186dee4b1b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncurrentLiabilitiesMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_1a76b178-1622-43b5-ae33-36c2e1daedcf" xlink:to="loc_us-gaap_OtherNoncurrentLiabilitiesMember_09c8cdb6-2a78-4222-804e-d8186dee4b1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsLineItems_43fe039b-d9cb-47e3-afe6-3bd853a2ae84" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherCommitmentsLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_9aa9e6fe-c68b-43ae-9c20-c5aa31c48c83" xlink:to="loc_us-gaap_OtherCommitmentsLineItems_43fe039b-d9cb-47e3-afe6-3bd853a2ae84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_57335ac0-ee8c-4012-85d0-897eca08a1e8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_43fe039b-d9cb-47e3-afe6-3bd853a2ae84" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_57335ac0-ee8c-4012-85d0-897eca08a1e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_7c2e70c5-34a7-4d95-b369-c5716985fee3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_43fe039b-d9cb-47e3-afe6-3bd853a2ae84" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_7c2e70c5-34a7-4d95-b369-c5716985fee3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_7efbfeda-8bd7-4ff2-a23e-31e618dc3c62" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_43fe039b-d9cb-47e3-afe6-3bd853a2ae84" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_7efbfeda-8bd7-4ff2-a23e-31e618dc3c62" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_43ca71a5-e310-45c9-a029-ddb35873384c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseCost"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_43fe039b-d9cb-47e3-afe6-3bd853a2ae84" xlink:to="loc_us-gaap_OperatingLeaseCost_43ca71a5-e310-45c9-a029-ddb35873384c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesMaturityofLeaseLiabilitiesDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesMaturityofLeaseLiabilitiesDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesMaturityofLeaseLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_ffdffbad-9671-4acb-93ad-fb26f5e6f7b9" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_ffdffbad-9671-4acb-93ad-fb26f5e6f7b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_404b9263-3766-45f8-b658-491d074522d8" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_404b9263-3766-45f8-b658-491d074522d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_f46ddd69-1a41-4125-9b37-cb111a3fbe17" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_f46ddd69-1a41-4125-9b37-cb111a3fbe17" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_122e59fa-3c38-4ee0-b82c-8f7f740fff0c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_122e59fa-3c38-4ee0-b82c-8f7f740fff0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_0b3b0406-eb2c-4c94-aef0-d21506da366f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_0b3b0406-eb2c-4c94-aef0-d21506da366f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_161f5658-92a7-4354-b67a-bcaad69d238a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_161f5658-92a7-4354-b67a-bcaad69d238a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_ed4b249b-5365-42e1-aba1-48d6b3806f9e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_ed4b249b-5365-42e1-aba1-48d6b3806f9e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_c3245bf3-7720-4847-96b1-774b754a3d6d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_c3245bf3-7720-4847-96b1-774b754a3d6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_9dc197fc-d6b5-4efd-8f79-cf6156019cee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_58cdbaf7-313f-4d6f-91c5-41e2eb162e88" xlink:to="loc_us-gaap_OperatingLeaseLiability_9dc197fc-d6b5-4efd-8f79-cf6156019cee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesMaturityofLeaseLiabilitiesDetails_1" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesMaturityofLeaseLiabilitiesDetails_1"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesMaturityofLeaseLiabilitiesDetails_1" xlink:type="extended"/>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesLeaseTermandDiscountRateDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesLeaseTermandDiscountRateDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesLeaseTermandDiscountRateDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_de8ef5bd-7dd8-430d-8af9-a2fa7a8af2ff" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_da9e5ebb-764e-4293-85a9-0673e4e72d98" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_de8ef5bd-7dd8-430d-8af9-a2fa7a8af2ff" xlink:to="loc_us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_da9e5ebb-764e-4293-85a9-0673e4e72d98" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_76032355-b190-450a-abfe-fef7e1fba024" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_de8ef5bd-7dd8-430d-8af9-a2fa7a8af2ff" xlink:to="loc_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_76032355-b190-450a-abfe-fef7e1fba024" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesSupplementalCashFlowInformationRelatedtoLeasesDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesSupplementalCashFlowInformationRelatedtoLeasesDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesSupplementalCashFlowInformationRelatedtoLeasesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_2afdf221-79b7-4b7a-ad37-b8911f1ce630" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_da877e44-5b14-4383-975d-cc13d348308d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_2afdf221-79b7-4b7a-ad37-b8911f1ce630" xlink:to="loc_us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_da877e44-5b14-4383-975d-cc13d348308d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeasePayments_c44b42ec-87da-461c-a0b1-90a160e7f49f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeasePayments"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_2afdf221-79b7-4b7a-ad37-b8911f1ce630" xlink:to="loc_us-gaap_OperatingLeasePayments_c44b42ec-87da-461c-a0b1-90a160e7f49f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/CommitmentsandContingenciesSupplementalBalanceSheetInformationDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#CommitmentsandContingenciesSupplementalBalanceSheetInformationDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/CommitmentsandContingenciesSupplementalBalanceSheetInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeasesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_2084b602-0c9e-4719-a945-6ba2b7ed9e55" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_2084b602-0c9e-4719-a945-6ba2b7ed9e55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_75f91b5f-f807-4e6c-8a0c-35611b34ec5e" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_75f91b5f-f807-4e6c-8a0c-35611b34ec5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_63a7e107-63aa-449d-ad31-ee79f178caca" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_63a7e107-63aa-449d-ad31-ee79f178caca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_b37c2aa8-8e90-44e3-8fdf-75aa22e52b35" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_b37c2aa8-8e90-44e3-8fdf-75aa22e52b35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeasePayments_ff934b54-c85a-4523-97ad-d44d977f6d3d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeasePayments"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_OperatingLeasePayments_ff934b54-c85a-4523-97ad-d44d977f6d3d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_33735ae7-eac0-41f5-bb9b-f7d242fc5e82" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_33735ae7-eac0-41f5-bb9b-f7d242fc5e82" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsTable_28f2162e-2bbf-4324-a8dc-b58bc94a93db" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherCommitmentsTable"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LeasesAbstract_f39bca93-ab30-4593-8f89-7ed6f9298ca7" xlink:to="loc_us-gaap_OtherCommitmentsTable_28f2162e-2bbf-4324-a8dc-b58bc94a93db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_99b1a22b-72a0-43ab-a9ef-2fb7e8e88da2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_28f2162e-2bbf-4324-a8dc-b58bc94a93db" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_99b1a22b-72a0-43ab-a9ef-2fb7e8e88da2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_e23560dc-deb8-4388-ae5d-240a33856478" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_99b1a22b-72a0-43ab-a9ef-2fb7e8e88da2" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_e23560dc-deb8-4388-ae5d-240a33856478" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncurrentLiabilitiesMember_49adb8fb-dbab-48d0-b45c-7a268e296193" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncurrentLiabilitiesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_e23560dc-deb8-4388-ae5d-240a33856478" xlink:to="loc_us-gaap_OtherNoncurrentLiabilitiesMember_49adb8fb-dbab-48d0-b45c-7a268e296193" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncurrentAssetsMember_a7214272-6339-4c00-952c-1d697867f183" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNoncurrentAssetsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_e23560dc-deb8-4388-ae5d-240a33856478" xlink:to="loc_us-gaap_OtherNoncurrentAssetsMember_a7214272-6339-4c00-952c-1d697867f183" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCurrentLiabilitiesMember_e4db9e7f-0317-49f1-b7f6-ded8fda0d3ee" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherCurrentLiabilitiesMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_e23560dc-deb8-4388-ae5d-240a33856478" xlink:to="loc_us-gaap_OtherCurrentLiabilitiesMember_e4db9e7f-0317-49f1-b7f6-ded8fda0d3ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsLineItems_2fc965d5-7fe6-481c-91f0-c1dc7d8403a3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherCommitmentsLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_28f2162e-2bbf-4324-a8dc-b58bc94a93db" xlink:to="loc_us-gaap_OtherCommitmentsLineItems_2fc965d5-7fe6-481c-91f0-c1dc7d8403a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_377a7976-8118-494d-98be-a32a8d775d91" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_2fc965d5-7fe6-481c-91f0-c1dc7d8403a3" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_377a7976-8118-494d-98be-a32a8d775d91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_b47e478f-e3a2-4320-a4fc-02a76f5e18be" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_2fc965d5-7fe6-481c-91f0-c1dc7d8403a3" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_b47e478f-e3a2-4320-a4fc-02a76f5e18be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_f8bc328a-f84c-48e8-a78f-767dca88dfc6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_2fc965d5-7fe6-481c-91f0-c1dc7d8403a3" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_f8bc328a-f84c-48e8-a78f-767dca88dfc6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/RelatedPartyTransactions" xlink:type="simple" xlink:href="codi-20210331.xsd#RelatedPartyTransactions"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/RelatedPartyTransactions" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsAbstract_bad85414-4ebc-4724-a645-1510763584e4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_11ce5835-c076-4cf7-b391-b66e723c7da5" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionsDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionsAbstract_bad85414-4ebc-4724-a645-1510763584e4" xlink:to="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_11ce5835-c076-4cf7-b391-b66e723c7da5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/NarrativeDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#NarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/NarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsAbstract_59532318-b1c0-45ab-8d78-fd7a07364d7c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionsAbstract_59532318-b1c0-45ab-8d78-fd7a07364d7c" xlink:to="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_808e0ac5-2fe3-4a54-bff2-1eb0d9503bbd" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:to="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_808e0ac5-2fe3-4a54-bff2-1eb0d9503bbd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyDomain_46509064-2e66-4378-96c9-46892cc20d56" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_808e0ac5-2fe3-4a54-bff2-1eb0d9503bbd" xlink:to="loc_us-gaap_RelatedPartyDomain_46509064-2e66-4378-96c9-46892cc20d56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_RelatedPartyVendorMember_95e66bf6-dddd-4193-87f5-e5b68eb169f1" xlink:href="codi-20210331.xsd#codi_RelatedPartyVendorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyDomain_46509064-2e66-4378-96c9-46892cc20d56" xlink:to="loc_codi_RelatedPartyVendorMember_95e66bf6-dddd-4193-87f5-e5b68eb169f1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipAxis_1cc17626-bfb0-40b2-ab7b-f630e9038346" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_OwnershipAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:to="loc_srt_OwnershipAxis_1cc17626-bfb0-40b2-ab7b-f630e9038346" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipDomain_208b1dd4-8439-4ee8-aa1f-59517f025566" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_OwnershipDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipAxis_1cc17626-bfb0-40b2-ab7b-f630e9038346" xlink:to="loc_srt_OwnershipDomain_208b1dd4-8439-4ee8-aa1f-59517f025566" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_8c7eb191-a711-4543-870d-d975bf95e0b7" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_OwnershipDomain_208b1dd4-8439-4ee8-aa1f-59517f025566" xlink:to="loc_codi_SternoProductsMember_8c7eb191-a711-4543-870d-d975bf95e0b7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_b08037ec-0aa8-489d-901b-fa249e418c70" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:to="loc_us-gaap_DebtInstrumentAxis_b08037ec-0aa8-489d-901b-fa249e418c70" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_66b2b01d-21d7-475f-b89d-2c4bc80f0082" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_b08037ec-0aa8-489d-901b-fa249e418c70" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_66b2b01d-21d7-475f-b89d-2c4bc80f0082" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LetterOfCreditMember_46b6ea79-9464-409a-8776-65e22ede68bf" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LetterOfCreditMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_66b2b01d-21d7-475f-b89d-2c4bc80f0082" xlink:to="loc_us-gaap_LetterOfCreditMember_46b6ea79-9464-409a-8776-65e22ede68bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_76f165ed-b4a1-438c-99d9-f47c372ad456" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_76f165ed-b4a1-438c-99d9-f47c372ad456" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4d36949b-7889-467a-bda7-47f42e571ab1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_76f165ed-b4a1-438c-99d9-f47c372ad456" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4d36949b-7889-467a-bda7-47f42e571ab1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_VelocityOutdoorMember_e5629579-5d1a-4ad2-b9e7-e5d05ef1349b" xlink:href="codi-20210331.xsd#codi_VelocityOutdoorMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4d36949b-7889-467a-bda7-47f42e571ab1" xlink:to="loc_codi_VelocityOutdoorMember_e5629579-5d1a-4ad2-b9e7-e5d05ef1349b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_SternoProductsMember_b704cddf-7137-4c8a-a3a7-788e20f1fcf4" xlink:href="codi-20210331.xsd#codi_SternoProductsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4d36949b-7889-467a-bda7-47f42e571ab1" xlink:to="loc_codi_SternoProductsMember_b704cddf-7137-4c8a-a3a7-788e20f1fcf4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_c69064d8-eb37-498e-8952-9c24cf44634f" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4d36949b-7889-467a-bda7-47f42e571ab1" xlink:to="loc_codi_MarucciMemberMember_c69064d8-eb37-498e-8952-9c24cf44634f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_639897c3-da82-452f-beaa-84aa1e2088f8" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4d36949b-7889-467a-bda7-47f42e571ab1" xlink:to="loc_codi_BOAMember_639897c3-da82-452f-beaa-84aa1e2088f8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis_bc63e0b8-46f4-460a-ad71-604a66eef717" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_LegalEntityAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:to="loc_dei_LegalEntityAxis_bc63e0b8-46f4-460a-ad71-604a66eef717" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain_4c13ddfa-988b-46e6-8e6c-38976c8ece91" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_LegalEntityAxis_bc63e0b8-46f4-460a-ad71-604a66eef717" xlink:to="loc_dei_EntityDomain_4c13ddfa-988b-46e6-8e6c-38976c8ece91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BOAMember_2856c751-2254-43f8-8f24-0e3a02d3a538" xlink:href="codi-20210331.xsd#codi_BOAMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityDomain_4c13ddfa-988b-46e6-8e6c-38976c8ece91" xlink:to="loc_codi_BOAMember_2856c751-2254-43f8-8f24-0e3a02d3a538" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionLineItems"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_65259cf8-2f2b-42e7-8ad1-0b0f98c16a7a" xlink:to="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityIncreaseDecreaseForPeriodNet_2d148709-9a71-4da6-8db6-50c58d59276c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityIncreaseDecreaseForPeriodNet"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_us-gaap_LineOfCreditFacilityIncreaseDecreaseForPeriodNet_2d148709-9a71-4da6-8db6-50c58d59276c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Managementfeewaiver_00f9c446-cf60-422d-a5cc-7ba03c71baa5" xlink:href="codi-20210331.xsd#codi_Managementfeewaiver"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_codi_Managementfeewaiver_00f9c446-cf60-422d-a5cc-7ba03c71baa5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_BusinessCombinationIntegrationServicesPayable_52b3534d-3a22-4d85-ab5f-cf6373dec4a8" xlink:href="codi-20210331.xsd#codi_BusinessCombinationIntegrationServicesPayable"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_codi_BusinessCombinationIntegrationServicesPayable_52b3534d-3a22-4d85-ab5f-cf6373dec4a8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_97d9dd76-2750-4718-971b-f4d4797f776c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_97d9dd76-2750-4718-971b-f4d4797f776c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_OwnershipPercentageRelatedPartyVendors_13137dc6-fe6c-4f4f-ab01-c323b9a33afd" xlink:href="codi-20210331.xsd#codi_OwnershipPercentageRelatedPartyVendors"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_codi_OwnershipPercentageRelatedPartyVendors_13137dc6-fe6c-4f4f-ab01-c323b9a33afd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_480cc9bc-29d4-43b8-908c-355c8d68864f" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_dei_DocumentPeriodEndDate_480cc9bc-29d4-43b8-908c-355c8d68864f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_df85209d-3bed-4ac8-aa44-2de12ceaa450" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_1eb0b81c-23dc-45a6-b3ba-36f3a862adf7" xlink:to="loc_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_df85209d-3bed-4ac8-aa44-2de12ceaa450" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/SubsequentEvent" xlink:type="simple" xlink:href="codi-20210331.xsd#SubsequentEvent"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/SubsequentEvent" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_664fcaf2-1b10-411a-90be-38424d386de3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable_fe3cb801-5a64-4bcf-a675-cacd601dd641" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_664fcaf2-1b10-411a-90be-38424d386de3" xlink:to="loc_us-gaap_SubsequentEventTable_fe3cb801-5a64-4bcf-a675-cacd601dd641" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_0a9a2e43-304e-4644-9899-cf58b1d04fde" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_fe3cb801-5a64-4bcf-a675-cacd601dd641" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_0a9a2e43-304e-4644-9899-cf58b1d04fde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_8c9eb5e4-8aad-42dd-857e-94c87ee94681" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_0a9a2e43-304e-4644-9899-cf58b1d04fde" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_8c9eb5e4-8aad-42dd-857e-94c87ee94681" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventLineItems_31ffe701-b8a2-4c8f-a620-0e416f779d1d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_fe3cb801-5a64-4bcf-a675-cacd601dd641" xlink:to="loc_us-gaap_SubsequentEventLineItems_31ffe701-b8a2-4c8f-a620-0e416f779d1d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsTextBlock_07dd5070-820c-4cca-83ba-393ac1077896" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_664fcaf2-1b10-411a-90be-38424d386de3" xlink:to="loc_us-gaap_SubsequentEventsTextBlock_07dd5070-820c-4cca-83ba-393ac1077896" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/SubsequentEventDetail" xlink:type="simple" xlink:href="codi-20210331.xsd#SubsequentEventDetail"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/SubsequentEventDetail" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_9acc49fb-7824-4ead-80a5-4b81f28f3153" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_9acc49fb-7824-4ead-80a5-4b81f28f3153" xlink:to="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_fe12c4b7-f6c0-4d2c-98b5-8b1b676b1001" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_fe12c4b7-f6c0-4d2c-98b5-8b1b676b1001" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_2868e302-43fa-468a-b17a-ff44918d41fb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_fe12c4b7-f6c0-4d2c-98b5-8b1b676b1001" xlink:to="loc_us-gaap_SegmentDomain_2868e302-43fa-468a-b17a-ff44918d41fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_b40f3e91-acd9-462c-9655-03266aa16918" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_2868e302-43fa-468a-b17a-ff44918d41fb" xlink:to="loc_codi_MarucciMemberMember_b40f3e91-acd9-462c-9655-03266aa16918" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_2b700c59-afc5-4883-bdd0-e17901789f1c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_2b700c59-afc5-4883-bdd0-e17901789f1c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_3cb31b46-8cc5-4569-b5a1-39c2be483cb4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_2b700c59-afc5-4883-bdd0-e17901789f1c" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_3cb31b46-8cc5-4569-b5a1-39c2be483cb4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_MarucciMemberMember_63a52ebf-81dc-4056-be35-a491e062944e" xlink:href="codi-20210331.xsd#codi_MarucciMemberMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_3cb31b46-8cc5-4569-b5a1-39c2be483cb4" xlink:to="loc_codi_MarucciMemberMember_63a52ebf-81dc-4056-be35-a491e062944e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_6198eaaf-e7ae-4b95-af1f-c5560860cb0c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_6198eaaf-e7ae-4b95-af1f-c5560860cb0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_9b2cbaff-e585-4c0c-af6e-48c9a695b5d6" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_6198eaaf-e7ae-4b95-af1f-c5560860cb0c" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_9b2cbaff-e585-4c0c-af6e-48c9a695b5d6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_3eefa350-787a-49a9-8087-35eee36074a4" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_9b2cbaff-e585-4c0c-af6e-48c9a695b5d6" xlink:to="loc_us-gaap_SubsequentEventMember_3eefa350-787a-49a9-8087-35eee36074a4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_67f3810a-0b35-48be-874d-86d139db83fb" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_67f3810a-0b35-48be-874d-86d139db83fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_0d2591f7-437a-47dc-8a75-dd8f711de2ac" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_67f3810a-0b35-48be-874d-86d139db83fb" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_0d2591f7-437a-47dc-8a75-dd8f711de2ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_61d941c6-65c7-4bca-bafc-b32dabf01c52" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_0d2591f7-437a-47dc-8a75-dd8f711de2ac" xlink:to="loc_us-gaap_LineOfCreditMember_61d941c6-65c7-4bca-bafc-b32dabf01c52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanMember_a326acc8-0a20-4d96-bed0-54881e6dbb21" xlink:href="codi-20210331.xsd#codi_TermLoanMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_0d2591f7-437a-47dc-8a75-dd8f711de2ac" xlink:to="loc_codi_TermLoanMember_a326acc8-0a20-4d96-bed0-54881e6dbb21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_33181e2e-3d20-4447-86a3-c7469106702b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_CreditFacilityAxis_33181e2e-3d20-4447-86a3-c7469106702b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_b3cd718f-87af-4cad-871c-30a384f3d574" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_33181e2e-3d20-4447-86a3-c7469106702b" xlink:to="loc_us-gaap_CreditFacilityDomain_b3cd718f-87af-4cad-871c-30a384f3d574" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_ba2002b2-c18b-4087-909d-477b996fa7f2" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_b3cd718f-87af-4cad-871c-30a384f3d574" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_ba2002b2-c18b-4087-909d-477b996fa7f2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_db14dc10-a35a-4ac8-a6d6-283592e2940d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_DebtInstrumentAxis_db14dc10-a35a-4ac8-a6d6-283592e2940d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_f24f07be-9f31-4264-8d68-ae39684b5a61" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_db14dc10-a35a-4ac8-a6d6-283592e2940d" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_f24f07be-9f31-4264-8d68-ae39684b5a61" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Seniornotesdue2026Member_ef989e73-864d-4eac-9d4b-90fd42d56b6a" xlink:href="codi-20210331.xsd#codi_Seniornotesdue2026Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_f24f07be-9f31-4264-8d68-ae39684b5a61" xlink:to="loc_codi_Seniornotesdue2026Member_ef989e73-864d-4eac-9d4b-90fd42d56b6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_TermLoanMember_48402275-f20b-45ab-92ed-729296a5907b" xlink:href="codi-20210331.xsd#codi_TermLoanMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_f24f07be-9f31-4264-8d68-ae39684b5a61" xlink:to="loc_codi_TermLoanMember_48402275-f20b-45ab-92ed-729296a5907b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventLineItems"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_9691ca2e-2f1e-4120-b5c7-d8db6d0af453" xlink:to="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_e6bdab4a-c167-49d9-8bbe-c06a839f9b86" xlink:href="codi-20210331.xsd#codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_e6bdab4a-c167-49d9-8bbe-c06a839f9b86" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Debtissuanceaggregateprincipalamount_10ead1f5-94f8-4584-9496-42abbcd1da2c" xlink:href="codi-20210331.xsd#codi_Debtissuanceaggregateprincipalamount"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_codi_Debtissuanceaggregateprincipalamount_10ead1f5-94f8-4584-9496-42abbcd1da2c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_8cd64a64-d3b4-452f-bbdd-b06b2b77268b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_8cd64a64-d3b4-452f-bbdd-b06b2b77268b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_a7cbf601-b10b-403f-b584-7c1b6a05dfe7" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_a7cbf601-b10b-403f-b584-7c1b6a05dfe7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_3f1b506e-c0c7-482d-a124-3b0ee08d47cc" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromLongTermLinesOfCredit"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_3f1b506e-c0c7-482d-a124-3b0ee08d47cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_c734102e-6c43-4506-ab98-cbf6de2cbb57" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_c734102e-6c43-4506-ab98-cbf6de2cbb57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_293fc95b-817a-43ba-a594-a6d35572715f" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_ecf3438f-f37e-4d5d-83de-34350d0d3886" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_293fc95b-817a-43ba-a594-a6d35572715f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/SubsequentEvents" xlink:type="simple" xlink:href="codi-20210331.xsd#SubsequentEvents"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/SubsequentEvents" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_06eabd52-70ee-42cf-bf97-41a87e94484b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsTextBlock_c10ab6ec-1e90-494e-9430-63ad9441d70b" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_06eabd52-70ee-42cf-bf97-41a87e94484b" xlink:to="loc_us-gaap_SubsequentEventsTextBlock_c10ab6ec-1e90-494e-9430-63ad9441d70b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/SubsequentEventsTables" xlink:type="simple" xlink:href="codi-20210331.xsd#SubsequentEventsTables"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/SubsequentEventsTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_68378f31-f191-4124-8e60-2b52536d6700" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsAbstract"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.compasstrust.com/role/SubsequentEventsDetails" xlink:type="simple" xlink:href="codi-20210331.xsd#SubsequentEventsDetails"/>
  <link:presentationLink xlink:role="http://www.compasstrust.com/role/SubsequentEventsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_ade3b01d-ae25-4b3b-b06b-4b18156391e5" xlink:href="codi-20210331.xsd#codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:to="loc_codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts_ade3b01d-ae25-4b3b-b06b-4b18156391e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_38a7b6c9-bf5b-4eb2-8211-e6567f2ac29c" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:to="loc_us-gaap_LongTermDebtCurrent_38a7b6c9-bf5b-4eb2-8211-e6567f2ac29c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_Debtissuanceaggregateprincipalamount_4936a8ca-8b8e-4a90-849f-4c0f2af96dd1" xlink:href="codi-20210331.xsd#codi_Debtissuanceaggregateprincipalamount"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:to="loc_codi_Debtissuanceaggregateprincipalamount_4936a8ca-8b8e-4a90-849f-4c0f2af96dd1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_codi_ProceedsHeldInEscrow_92ebc2da-52f6-4aaa-9110-8f0ce36e3705" xlink:href="codi-20210331.xsd#codi_ProceedsHeldInEscrow"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:to="loc_codi_ProceedsHeldInEscrow_92ebc2da-52f6-4aaa-9110-8f0ce36e3705" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_a5f1aef4-d896-487b-8d47-c9dee70cdd8d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_a5f1aef4-d896-487b-8d47-c9dee70cdd8d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_591602ee-87ea-4f80-9b5b-0f128eb0dd3d" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_a730ef56-9d49-4d48-908a-06c1d1614d65" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_591602ee-87ea-4f80-9b5b-0f128eb0dd3d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
