Pep Guardiola's side are still looking to replace Sergio Aguero who joined Barcelona earlier this season, and have been trying all summer to bring Kane to the Etihad, but have failed to meet Daniel Levy's asking price for the England international.
According to The Telegraph, City will make another push to sign Kane in the coming days as they look to bring him in before the transfer window shuts next week.
Kane returned to the Spurs matchday squad in their Premier League fixture with Wolves on Sunday, with Nuno Espirito Santo saying: "Harry [Kane] is in the squad. The team is the same because we did a good job last weekend."
However, according to the Mirror, Tottenham aren't budging from their £150m valuation, and Levy isn't interested in accepting any City players as part of the deal. Former Tottenham striker Dimitar Berbatov claimed Kane and his personal team have been "naive" in their approach to work out a transfer to City.
"If they did speak at the end of last season and they had a gentleman's agreement which has been broken, it isn't a great situation and it's no surprise that Kane is p****d off," he said, as quoted by the Daily Mail.
"I have been in this situation and all I have to say is that they should have expected and anticipated this. Kane's team shouldn't have been so naïve with this situation because football is a business. Of course, we like that gentlemen's style of shaking hands and saying, "yes, you have my word", but sometimes in football it doesn't work like this and you get angry. You have to expect for these things to happen and plan how to avoid it or react to it when it happens."