The former Chelsea man is set to leave France at the end of this season and many reports have linked him with a move away from the club, meaning that he won't renew his deal at the club.
Sky sport Italia is reporting that AC Milan have offered Alex a two-year deal with an option for a third and seemingly they are the team to beat to his signature.
Negotiations have reportedly advanced as the vice-president Adriano Galliani has met with the player's representative, Kia Joorabchian, in order to discuss a deal.
Former AC Milan and PSG boss Carlo Ancelotti also suggested that Milan sign Alex as he is well structured, fast and one of the best when it come to headed duels.
The 17 time Brazil international has made 29 appearances in Ligue One this season with two goals also to add to his name.