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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2012-10-08</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001303649</issuerCik>
        <issuerName>BlackRock Diversified Income Strategies Fund, Inc.</issuerName>
        <issuerTradingSymbol>DVF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001333739</rptOwnerCik>
            <rptOwnerName>Harris Jerrold B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 EAST 52ND STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10055</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2012-10-08</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>163.796</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Effective as of October 8, 2012, BlackRock Diversified Income Strategies Fund, Inc. (the &quot;Target Fund&quot;) was reorganized into BlackRock Floating Rate Income Strategies Fund, Inc. (the &quot;Acquiring Fund,&quot; and such reorganization, the &quot;Reorganization&quot;). In the Reorganization, common shareholders of the Target Fund received common shares of the Acquiring Fund in an amount equal to the aggregate net asset value of the Target Fund's common shares as determined at the close of business on October 5, 2012, less the costs of the Reorganization (although cash was distributed for any fractional shares). As of October 5, 2012, the Target Fund reported a net asset value per share of $10.8845 and the Acquiring Fund reported a net asset value per share of $15.0289. The conversion ratio for the Target Fund's common shares was 0.72423797. In the Reorganization, Mr. Jerrold B. Harris received 118 common shares of the Acquiring Fund in exchange for his 163.796 common shares of the Target Fund.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Noah Gellner as Attorney-in-Fact</signatureName>
        <signatureDate>2012-10-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
