The Daily Star reports that the Italian giants have made the Argentine one fo their main summer targets.
Tevez has just over 12 months left on his current £200,000-a-week contract at City, who are prepared to sell the striker.
AC Milan have offered Tevez a three-year contract worth a reported £5m a season.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?