The 20-year-old PSG midfielder joined the French club from Pescara in the summer, despite interest from a number of top Serie 'A' clubs.
The youngster already has three caps for Italy, and United were believed to be monitoring his progress in the French capital.
But Milan president Silvio Berlusconi confirmed to Italian website Sport MediaSet that his club are keen to bring Verratti back to Italy.
Berlusconi said: "I shouldn't have let Pirlo go. But we now have Riccardo Montolivo.
"For the future, we are interested in Verratti. He is one of those players that we are examining, then we will see if there are conditions that make the deal possible."
PSG sit top of the Ligue 1 table, and Verratti has impressed for Carlo Ancelotti's side this season - making 18 league appearance so far.
The midfielder primarily plays in a defensive role, but United have been linked with him as a possible Paul Scholes replacement.
The 38-year-old is expected to retire for a second time at the end of the current campaign, and Sir Alex Ferguson reportedly has his eye on Verratti to take his place.
The 20-year-old is an assured passer of the ball - his 89 per cent success rate is one of the highest in France for a midfielder - and he's been compared to Italy and former-Milan midfielder Andrea Pirlo. But he is yet to find to net for the Parisian club this season.
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