Chairman Daniel Levy refused every offer that came from Manchester City but the Premier League champions are reportedly planning to test his resolve once again in January.
For the majority of the transfer window Kane was desperate to seal a move to the Premier League champions but, as Levy has proved in the past, he will not sell unless he wants to.
Since keeping the England captain, things have not gone well for both the player and the club, who recently sacked Nuno Espirito Santo and appointed Antonio Conte.
ESPN reports City are considering to offer the player a way out again as they look to bolster their attacking options in the January transfer window.
While Pep Guardiola and his side have done well going forward this season, a lack of a No. 9 has cost them in certain games and having someone of Kane's class would surely giving them the cutting edge the Spaniard needs.
There is no questioning how prolific Kane is in front of goal, but given his record for Spurs this season, it has been argued he looks disinterested.
In ten league games for his club, Kane has only managed to find the net on one occasion against Newcastle United.
By contrast, for England he has managed eight goals in seven games, including a hat trick against Albania which equalled Jimmy Greaves' record.