Chelsea have coveted the striker all summer with Conte hoping to reunite with the Spaniard after a brief spell at Juventus.
He started only four matches after Christmas last season and did not start a game after Arsenal's FA Cup win at Sutton in February. With the transfer window closing in just over a day and a half, it's getting pretty tight for the Blues now.
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Vincent Janssen is Tottenham's current stand-in striker, but the Dutchman has struggled to settle at the club and Pochettino is keen to land a proven Premier League frontman to accompany Kane.
Sky Sports News understands there has been no official bid from Everton for the former Spain global at this stage, despite reports linking the Toffees with a move.