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Sources have told ESPN that Spurs refused to negotiate a potential deal for Kane with the Premier League champions.
There is still room in Pep Guardiola's squad for a striker following the departure of Sergio Aguero to Barcelona, and while privately City are playing down the chances of signing Ronaldo, the idea has not been completely ruled out.
Sources have told ESPN that a number of obstacles would have to be overcome, including Juventus' demand for a transfer fee and Ronaldo's high wages, which would not fit into the structure at the Etihad Stadium. The 36-year-old has a year left on his contract at Juventus.
ESPN reported in June that representatives were assessing interest in the Portugal international from some of Europe's leading clubs.
Ronaldo came off the bench as Juventus began their Serie A campaign with a 2-2 draw with Udinese on Sunday. He left training early on Wednesday with an apparent arm injury.
City have until the deadline on Tuesday to secure a striker after Kane announced he will not move this summer.
Guardiola insisted ahead of the 5-0 win over Norwich that he is happy with his squad, and it remains a possibility that the club will not bring in another forward before the close of the window.
Jesus is the only recognised senior striker at the club, while academy forward Liam Delap, 18, is set to stay rather than leaving on loan.