Kane demanded an exit from Tottenham at the start of the summer, but with the end of the transfer window just a week away, a move to Manchester City appears increasingly unlikely
Kane has demanded a departure from Spurs having grown frustrated with the lack of trophies that the club has won during his time in the first team.
But the 28-year-old still has three years left on his current contract, allowing Spurs to virtually name their price and hold out for that valuation.
It is believed that that price tag is in the region of £150million, and is a number that prospective suitors are struggling to match given the challenging financial climate.
City have long been considered the frontrunners for Kane, with Pep Guardiola desperate to bring in a new forward.
The Spaniard allowed record goalscorer Sergio Aguero to depart at the end of last season, with Gabriel Jesus and Ferran Torres now the duo utilised most through the middle.
But City are still badly missing a main focal point, despite their hammering of newly-promoted Norwich on Saturday.
As a result, they have now made Kane their top priority for the final week of the transfer window, though time is quickly running out to get a deal done.
And in part because of that time factor, the Daily Mail report that Spurs believe they are “winning the battle” to keep their star striker.
It is said that club chairman Daniel Levy’s will to keep Kane in north London “has not wavered” and he is “more determined than ever” to turn City away.
It is also stated that Spurs now feel that a transfer for Kane to City, or indeed any club, is now “virtually impossible” this summer.
City are understood to be gearing up to make a fresh bid for the England captain before the end of the current window.
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But they will have to significantly revise the original offer they made to Spurs at the start of the summer window.
The Mail report that that initial offer was actually worth less than half of Tottenham ’s valuation of the striker.
They state that what was first reported as a £100m bid was actually worth only £75m up-front with the other £25m coming through add-ons.
As a result there is now a “significant disparity” between the two clubs over their valuations of Kane.
City’s next offer is thought to be worth in the region of £130m, which the Premier League champions believe will be enough to tempt Spurs to the negotiating table.
But there is an increasing belief that City need to make their move quickly, with time fast running out before the window slams shut.
Kane for his part has retreated somewhat from his position of a couple of weeks ago when he refused to return on time for pre-season training.
He made his first appearance of the new campaign as a second-half substitute in Tottenham’s win over Wolves last Sunday.
Whether that will be his last appearance in a Spurs shirt remains to be seen.