Remy is currently on-loan at Newcastle United this season.
The Mail on Sunday says with Jermain Defoe departed and Emmanuel Adebayor’s future uncertain, Spurs will be seeking to sign at least two strikers this summer.
Remy is well-known to Tottenham’s new chief scout Ian Broomfield.
Broomfield returned to his role at Spurs after a period with QPR where he was involved in the signing 27-year-old Remy from Marseille last season.
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