The France international was a target for Spurs last summer, but chairman Daniel Levy reportedly balked at the £15m valuation placed on the striker by Marseille.
Remy eventually moved to QPR in January, and he's impressed in his first three months in the Premier League, scoring his fifth goal in eight matches against Wigan last weekend.
Arsenal have also been linked with a summer move for the Frenchman, and Arsene Wenger is thought to be a fan of the quick forward.
He's thought to be an alternative to the pricey Fiorentina frontman Stevan Jovetic - who could cost up to £30m - and concerns over Remy's fitness record have abated since his move to QPR.
Much depends on Harry Redknapp's side's fight for survival, as the report claims they'd be no shortage of suitors for Remy should the Super Hoops be relegated to the Championship.
Former-Tottenham midfielder Adel Taarabt is another who could be on his way out at the end of the season, while Christopher Samba, Jermaine Jenas and Julio Cesar could also be moved on in an effort to trim the wage bill.
Esteban Granero would be likely to be highly coveted by La Liga clubs, despite barely featured under ex-Spurs boss Harry Redknapp.
Junior Hoilett and Rob Green may also move on should QPR fail to beat the drop.