Bayern Munich have made an improved offer of £70m plus add‑ons for Harry Kane and hope it will be prove enough to prise the striker away from Tottenham.

Spurs rejected Bayern’s opening offer of £60m plus add-ons for Kane last month, the club deeming it too low for a player they value at at least £100m despite the fact his contract expires next summer and he has shown little sign of wanting to sign an extension, leaving Spurs at risk of losing their record goalscorer on a free transfer.

Kane has held positive talks with Bayern over a move to the Bundesliga champions and they remain keen to sign the 29-year-old England captain, who had also been linked with a move to Manchester United this summer before they abandoned their plans to pursue the player, having decided the money it would take to lure him from north London was unrealistic.

Daniel Levy, the Tottenham chairman, is expected to stand firm in his desire to get £100m as a minimum for Kane but Bayern hope their improved offer, allied to the player’s desire to join them, will lead to a softening in stance by one of English football’s most notorious negotiators. They await an official response from Spurs, who have offered Kane a new contract that would significantly improve his £200,000-a-week terms, and should it again be negative, a third bid could well be submitted, and soon.

Meanwhile, Manchester United and Newcastle are both exploring a deal for Monaco’s Axel Disasi. The 25-year-old defender made his debut for France at last year’s World Cup and has four international caps.