The Argentina international striker is set to depart the Etihad Stadium in January after falling out with Roberto Mancini and being at the centre of a number of controversies.
With City currently paying his extortionate wages on a weekly basis despite the fact that he is not playing or training with the current Premier League leaders, a transfer is desired by both the club and the player.
Milan have already had a bid for the South American forward rejected, as the Scudetto holders initially wanted to take Tevez on loan until the end of the season, but City would prefer to sell.
With ground to be made up in the negotiations, Galliani confirmed the meeting with the English side.
“It’s true I’m meeting them (City) Thursday, but I don’t think the deal will be concluded that day,” he told ANSA.
Big spending Paris Saint Germain have also confirmed their interest in Tevez, and are set to make a bid for the attacker should Milan fail to agree a transfer to the San Siro.
By Gareth McKnight