<?xml version="1.0"?><?xml-stylesheet type="text/xsl" href="../4_X02.xsl"?><ownershipDocument>    <schemaVersion>X0303</schemaVersion>    <documentType>4</documentType>    <periodOfReport>2009-07-28</periodOfReport>    <notSubjectToSection16>0</notSubjectToSection16>    <issuer>        <issuerCik>0000865277</issuerCik>        <issuerName>FIRST ISRAEL FUND INC</issuerName>        <issuerTradingSymbol>ISL</issuerTradingSymbol>    </issuer>    <reportingOwner>        <reportingOwnerId>            <rptOwnerCik>0001009234</rptOwnerCik>            <rptOwnerName>ARZAC ENRIQUE R</rptOwnerName>        </reportingOwnerId>        <reportingOwnerAddress>            <rptOwnerStreet1>COLUMBIA UNIV GRAD SCHOOL OF BUSINESS</rptOwnerStreet1>            <rptOwnerStreet2>URIS HALL, ROOM 623, 116TH STREET</rptOwnerStreet2>            <rptOwnerCity>NEW YORK</rptOwnerCity>            <rptOwnerState>NY</rptOwnerState>            <rptOwnerZipCode>10027</rptOwnerZipCode>            <rptOwnerStateDescription></rptOwnerStateDescription>        </reportingOwnerAddress>        <reportingOwnerRelationship>            <isDirector>1</isDirector>            <isOfficer>1</isOfficer>            <isTenPercentOwner>0</isTenPercentOwner>            <isOther>1</isOther>            <officerTitle>Chairman of the Board/</officerTitle>            <otherText>Nominating Committee Member</otherText>        </reportingOwnerRelationship>    </reportingOwner>    <nonDerivativeTable>        <nonDerivativeTransaction>            <securityTitle>                <value>Common Stock</value>            </securityTitle>            <transactionDate>                <value>2009-07-28</value>            </transactionDate>            <deemedExecutionDate></deemedExecutionDate>            <transactionCoding>                <transactionFormType>4</transactionFormType>                <transactionCode>P</transactionCode>                <equitySwapInvolved>0</equitySwapInvolved>            </transactionCoding>            <transactionTimeliness>                <value></value>            </transactionTimeliness>            <transactionAmounts>                <transactionShares>                    <value>209</value>                    <footnoteId id="F1"/>                </transactionShares>                <transactionPricePerShare>                    <value>14.05</value>                </transactionPricePerShare>                <transactionAcquiredDisposedCode>                    <value>A</value>                </transactionAcquiredDisposedCode>            </transactionAmounts>            <postTransactionAmounts>                <sharesOwnedFollowingTransaction>                    <value>4458.435</value>                    <footnoteId id="F2"/>                </sharesOwnedFollowingTransaction>            </postTransactionAmounts>            <ownershipNature>                <directOrIndirectOwnership>                    <value>D</value>                </directOrIndirectOwnership>            </ownershipNature>        </nonDerivativeTransaction>    </nonDerivativeTable>    <derivativeTable></derivativeTable>    <footnotes>        <footnote id="F1">The reporting person was awarded 209 shares of Common Stock of the Issuer pursuant to the Issuer's Director Compensation Plan.</footnote>        <footnote id="F2">The total shares held following this transaction includes 589.095 shares acquired on 1/16/09 as part of the Issuer's Dividend Reinvestment Plan.</footnote>    </footnotes>    <remarks></remarks>    <ownerSignature>        <signatureName>/s/ Enrique R. Arzac by Matt Woodward as attorney-in-fact, pursuant to a power of attorney</signatureName>        <signatureDate>2009-07-30</signatureDate>    </ownerSignature></ownershipDocument>
