<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>3</documentType><periodOfReport>2003-10-30</periodOfReport><noSecuritiesOwned>1</noSecuritiesOwned><issuer><issuerCik>0001056794</issuerCik><issuerName>AVANEX CORP</issuerName>        <issuerTradingSymbol>AVNX</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001206155</rptOwnerCik><rptOwnerName>MILLER JOSEPH A</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>40919 ENCYCLOPEDIA CIRCLE</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>FREMONT</rptOwnerCity><rptOwnerState>CA</rptOwnerState><rptOwnerZipCode>94538</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>Joseph A. Miller, Jr.</signatureName><signatureDate>2003-11-03</signatureDate></ownerSignature></ownershipDocument>

