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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e753c-c573-7cca-820a-f9399f880e0e,g:90b02609-9fc6-4b91-a759-a6202a4c888a-->
<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.greenlightre.ky/role/Cover" xlink:type="simple" xlink:href="glre-20260804.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.greenlightre.ky/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e753c-c573-768e-8505-26340eea81b4" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_DocumentType_019e753c-c573-768e-8505-26340eea81b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e753c-c573-7104-985f-9651991fe7a7" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_DocumentPeriodEndDate_019e753c-c573-7104-985f-9651991fe7a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e753c-c573-7ac6-92a5-ff3d1c6bbadb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityRegistrantName_019e753c-c573-7ac6-92a5-ff3d1c6bbadb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e753c-c573-7de7-8771-99de6e8698e8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e753c-c573-7de7-8771-99de6e8698e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e753c-c573-7c7a-a0ea-d1e6bb11bb12" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityFileNumber_019e753c-c573-7c7a-a0ea-d1e6bb11bb12" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e753c-c573-71c0-81ff-ca90606ef52f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityAddressAddressLine1_019e753c-c573-71c0-81ff-ca90606ef52f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_019e753c-c573-74ee-bec8-0620d409fa00" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityAddressAddressLine2_019e753c-c573-74ee-bec8-0620d409fa00" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e753c-c573-7ae0-bd05-ef581d3ba2b1" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityAddressCityOrTown_019e753c-c573-7ae0-bd05-ef581d3ba2b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCountry_019e753c-c573-78e5-a654-021042d17cee" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCountry"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityAddressCountry_019e753c-c573-78e5-a654-021042d17cee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e753c-c573-74d0-a63d-45ade0ab5a52" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityAddressPostalZipCode_019e753c-c573-74d0-a63d-45ade0ab5a52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e753c-c573-7180-8fca-38cdae3d29a5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_CityAreaCode_019e753c-c573-7180-8fca-38cdae3d29a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e753c-c573-7ff1-9c3a-a808a3370d93" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_LocalPhoneNumber_019e753c-c573-7ff1-9c3a-a808a3370d93" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e753c-c573-79c7-93cf-5c6a24ef2b0e" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_WrittenCommunications_019e753c-c573-79c7-93cf-5c6a24ef2b0e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e753c-c573-7b20-bb30-9fa5f8855aae" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_SolicitingMaterial_019e753c-c573-7b20-bb30-9fa5f8855aae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e753c-c573-732b-83d7-4cc2790cf7de" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_PreCommencementTenderOffer_019e753c-c573-732b-83d7-4cc2790cf7de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e753c-c573-79b3-8eab-82f8ba74e046" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e753c-c573-79b3-8eab-82f8ba74e046" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e753c-c573-76ff-b117-6fa7c866f87b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_Security12bTitle_019e753c-c573-76ff-b117-6fa7c866f87b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e753c-c573-7d04-89d6-f46d0320b412" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_TradingSymbol_019e753c-c573-7d04-89d6-f46d0320b412" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e753c-c573-7ed1-a3f5-aaa95c3c6d8b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_SecurityExchangeName_019e753c-c573-7ed1-a3f5-aaa95c3c6d8b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e753c-c573-7b99-9a59-bb83fc25e26f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e753c-c573-7b99-9a59-bb83fc25e26f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e753c-c573-7a7b-a9e0-604214dd21cb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_EntityCentralIndexKey_019e753c-c573-7a7b-a9e0-604214dd21cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e753c-c573-73a0-826b-c05b48bd915c" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e753c-c573-78e1-97bf-66a01333b990" xlink:to="loc_dei_AmendmentFlag_019e753c-c573-73a0-826b-c05b48bd915c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
