Inter also interested.
Lavezzi has remained coy about his future although all admirers were dealt a blow when his agent Alejandro Mazzoni ruled out any transfer for his client in January.
“At the moment I see no real possibility, the player will not leave in January,” Mazzoni told Radio CRC.
“PSG are doing very well in the Champions League and they want to go as far as possible, that could therefore hinder a move, Lavezzi will quietly choose his team for next season.”
It is unclear whether the interest shown by AC Milan is genuine or just a tactic to infuriate local rivals, but it looks like any move would be on a free in June.