The Italian side are said to be looking at signing Everton midfielder James Rodriguez, who has only been in England for one season.
The Colombian showed some great promise in the early parts of the season but finished the campaign with six goals and five assists in 23 appearances as the Toffees finished outside the top six.
With Carlo Ancelotti gone, Antena 2 have reported that could be set a for an early departure as he is in talks with the Milan outfit over a potential switch.
It is believed that the Serie A side have offered Rodriguez a three-year deal as he looks to get back to UEFA Champions League football after Milan finished second last season.
The arrival of new coach Rafael Benitez may also play a part as the two did not see eye-to-eye during the Spaniard's short stint with Real Madrid in 2016.
Milan have also been linked with FC Barcelona outcast Philippe Coutinho, who has been tipped to leave the Camp Nou this season.