The 23-year-old has turned down repeat overtures from the Ligue 1 champions to extend a contract that expires in 2019. This has caused sustained links to Barcelona, Juventus and AC Milan.
The Rossoneri are preparing a huge financial offer to the player who has struggled to command regular first-team action with the Parisiens, despite backing from new PSG boss Thomas Tuchel.
Liverpool have also expressed interest in the former Pau man.