The 22-year-old has struggled for form and encountered a number of off-field problems during his time in England, prompting questions to be asked about his future with the Barclays Premier League champions.
Quoted in Gazzetta dello Sport, Galliani said: "At the end of Friday, Manchester City still said 37million euros. We will see on Monday. Under these conditions, he will remain at Manchester City."
The Rossoneri are also in talks to take Real Madrid midfielder Kaka back to the club in the January transfer window, but Galliani says the 30-year-old's capture will require "great effort" from all parties.
"Everyone must make a great effort - AC Milan, Real Madrid and Kaka," he said. "Much depends on (the player's) economic sacrifice.
"I have up days and down days. At the moment it is down because I look at the taxation - that kills. In Italy, no player earns more than 5million euros, net."
- Sports & Recreation