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However, Kane chose not to attend, a move that represents an escalation in the stand-off between the striker and Spurs chairman Daniel Levy. Kane had previously expressed his desire to leave the club this summer.
Levy is reluctant to sell, however, given Kane's importance to the team and the fact he has three years remaining on his £200,000-a-week contract in north London.
Kane believes he has a gentleman's agreement with Levy that would see the club listen to appropriate offers for the club this summer. However, Tottenham value Kane at around £150 million -- a figure City have so far proved unwilling to match.
City have previously indicated they are willing to offer around £100m, although sources at both clubs denied a formal bid had been tabled.
Kane's failure to report back is a major disruption to Tottenham's preseason plans ahead of their first Premier League game, which coincidentally comes against City at home on Aug. 15.
Spurs play Chelsea in a friendly at Stamford Bridge on Wednesday, although Kane was always unlikely to feature in that fixture. They then face Arsenal on Sunday, and it is unclear at this stage whether Kane will be involved.
Last month, new Spurs head coach Nuno Espirito Santo played down speculation Kane could depart.
"Harry is our player, period," he said. "No need to talk about anything else.
"Now is the moment for Harry to recover his energy, to rest. When he comes again, we will have time to speak. We will have good conversations, but now is the moment for Harry to rest and to prepare for what's coming.
"And I'm looking forward to him joining the group and starting working together."