The Argentine attacker has set his sights on a summer exit and could be plying his trade in Serie A next season, with the Rossoneri chief keen on recruiting the 29-year-old
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However, Galliani is confident the 29-year-old would not leave City for Juve and thinks Tevez would even accept a pay cut to join Milan.
"Tevez would not betray me by going to Juventus," the Rossoneri director told reporters.
"I like him because he's a 'bad guy'. He would accept a big pay-cut to come to us."
Tevez's current deal with City is due to expire in June 2014 and an offer in the region of £10 million could be enough to lure him away from the Premier League side.
Milan were already close to signing the flamboyant attacker in the summer of 2012, but the deal eventually fell through for unknown reasons.