The Netherlands international has previously been linked with clubs such as Manchester United and Inter, and has now caught the Rossoneri's attention as well
Milan are set to undergo a squad overhaul especially in midfield following the departure of players such as Gennaro Gattuso, Mark van Bommel and Clarence Seedorf, and they see the 22-year-old Strootman as the perfect addition to their squad.
Strootman joined PSV from Utrecht in the summer of 2011, and has since developed into a key player at the KNVB Beker winners.
The Dutchman has a contract until June 2016 and an offer in the region of €15 million could be needed to lure him away from the Eredivisie giants.
The Rossoneri have already secured the services of Riccardo Montolivo and Bakaye Traore for next season.