A photo in Tuesday's Gazzetta dello Sport showed agent Kia Joorabchian having dinner with Galliani on Monday.
City has reportedly set a 4 million ($5.4 million) price tag to acquire Tevez on loan for the second half of this season, and is asking for another 20 million ($26.9 million) to keep him after that.
Galliani is reportedly asking Tevez to lower his salary of about 10 million ($13.4 million) per season, with the Argentina international under contract with City through 2013-14.
Italian mainstream daily La Repubblica reported that Milan wants Tevez at its holiday training camp in Dubai by December 29, and that a deal could be reached after City's Champions League status is determined on Wednesday.
Milan needs another striker, with Antonio Cassano out long-term following heart surgery, although Tevez would not be eligible for the Champions League after featuring for City against Napoli at the beginning of the campaign.
City manager Roberto Mancini has been feuding with Tevez since the player refused to warm-up during a Champions League game against Bayern Munich in September. Tevez has not played for the club since the incident, after which City suspended Tevez for two weeks and fined him a fortnight's wages.
An internal disciplinary hearing found Tevez guilty of five breaches of contract, including bringing the club into disrepute and failing to follow the instructions of his manager.
Tevez compounded the situation by flying to his native Argentina during November's international break without the club's permission.
However, Milan still appears attracted to Tevez's scoring ability. The 2009 recruit from Manchester United led City last season with 23 goals in all competitions, helping the club to the FA Cup title.
Tevez's agent meets with AC Milan again: Report
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