Reports in Italy claim the Rossoneri and Inter are interested in making a move for the Argentine international as they look to bolster their squads for next season
The former Napoli star, who only joined PSG last summer, has hinted he would be interested in a move to one of the Milan giants if they came calling for his services.
"I like coming here a lot. A future in the city of Milan? Never say never," Lavezzi told Gazzetta dello Sport.
Meanwhile, reports in France claim Lavezzi could be joined in Paris by former Napoli team-mate Edinson Cavani.
Cavani is one of the most sought-after players in Europe following his exploits with Napoli over the last couple of seasons with the likes of Manchester City, Chelsea and Real Madrid all credited with an interest in the Uruguayan.
However, French radio station RMC claims big-spending PSG have agreed a deal to sign Cavani and are ready to trigger his €63million (£54m) release clause to bring him to Parc des Princes