<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-02-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001547638</issuerCik>
        <issuerName>Southcross Energy Partners, L.P.</issuerName>
        <issuerTradingSymbol>SXE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001483120</rptOwnerCik>
            <rptOwnerName>Herring Edward</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 CRESCENT COURT</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Convertible Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-02-14</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>279303</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Units (Limited Partnership Interests)</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <footnoteId id="F1"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>16238272</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Southcross Holdings Borrower LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Borrower (as defined below) was entitled to receive a Class B Quarterly Distribution (as defined in the Issuer's Third Amended and Restated Agreement of Limited Partnership dated August 4, 2014 (the &quot;Partnership Agreement&quot;)), consisting of additional Class B Convertible Units (the &quot;Class B PIK Units&quot;) in accordance with the terms of the Partnership Agreement.   However, the Issuer did not timely make such Class B Quarterly Distribution.  The Partnership Agreement provides that, notwithstanding the Issuer's failure to make such Class B Quarterly Distribution, the holders entitled to the unpaid Class B PIK Units shall be entitled  to all rights under the Partnership Agreement as if such unpaid Class B PIK Units had in fact been distributed on the date due (&quot;Unpaid Class B PIK Rights&quot;).  Therefore, on February 14, 2016, SHB acquired Unpaid Class B PIK Rights equivalent to 279,303 Class B Convertible Units.</footnote>
        <footnote id="F2">The total number of derivative securities beneficially owned following the reported transaction that is reflected in Column 8 includes Unpaid Class B PIK Rights equivalent to 279,303 Class B Convertible Units.</footnote>
    </footnotes>

    <remarks>See Exhibit 99.1</remarks>

    <ownerSignature>
        <signatureName>/s/ Edward Herring</signatureName>
        <signatureDate>2016-02-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
