The 30-year-old was subject to interest from the Premier League last summer, but with one-year on his contract, Chelsea were unwilling to pay the €25 million asking price.
Maignan has since signed new terms at AC Milan, but following their failure to qualify for the Champions League, they could be force to cash in.
According to La Gazzetta dello Sport, the Italian giants would be willing to part ways with the France international for a fee of between €40 and €50 million.
Chelsea have once again been linked with a move for Maignan now that Xabi Alonso is set to take over, but the report adds several clubs around Europe are keen.
It’s understood that Maignan won’t be making any decision on his future until after this summer’s World Cup with France one of the heavy favourites.