Rabiot, 30, has been exiled by current club Marseille after a violent exchange with former teammate Jonathan Rowe after their 1-0 opening day defeat to Rennes.
The two players were consequently placed on the transfer list by the French giants and Rowe has since secured a move to Serie A side Bologna.
According to L'Equipe, Marseille are demanding a fee of €15 million for the central midfielder with several sides interested.
Fabrice Hawkins reports that Premier League duo Aston Villa and Tottenham are both keen on signing Rabiot before the end of the transfer window.
Spurs are particularly interested in signing him if Yves Bissouma completes his expected move to Galatasaray.
Milan are also exploring a potential deal to sign Rabiot with Max Allegri pushing the club to bring in the player he managed while at Juventus.