Leonardo could reunite with old Milan companion Carlo Ancelotti at Paris Saint-Germain.
The two worked well together as transfer scout and Coach at San Siro, winning the Champions League.
Leo is now the director general at PSG, having already brought in Serie A players like Jeremy Menez, Salvatore Sirigu, Momo Sissoko and Javier Pastore.
According to L'Equipe, Coach Antoine Kombouaré is already under pressure after losing the first game of the Ligue 1 season against Lorient.
The prime candidate to take over is Ancelotti, who is a free agent after he was sacked by Chelsea.
Ancelotti has won the League title in both Italy and England, so could turn his focus to France.
Think you know your Italian football? Share your knowledge, tips and comments to win cash prizes in OLBG's tipster competition  - £11,000 to be won monthly!