Rabiot, 30, was banned by the current club Marseille after a violent exchange with former teammate Jonathan Rowe after their 1-0 defeat of the opening day against Rennes.
The two players were therefore placed on the transfer list by the French giants and Rowe has since had a move to Serie A Side Bologna.
According to L'Equipe, Marseille demands a reimbursement of € 15 million for the central midfielder with different parties interested.
Fabrice Hawkins reports that Premier League duo Aston Villa and Tottenham both would like to sign rabiot before the end of the transfer window.
Spurs are especially interested in signing him when Yves Bissouma completes his expected move to Galatasaray.
Milan is also investigating a potential deal to sign rabiot with Max Allegri who pushes the club to bring in the player he has managed in Juventus.