Fabregas' future at Chelsea has repeatedly come into question in recent months.
The 29-year-old has started just nine Premier League games this season, having fallen behind Nemanja Matic and N'Golo Kante in Antonio Conte's starting XI.
Despite his limited game time, Fabregas has proved to be a decisive squad player for Chelsea by scoring and assisting some vital goals to help the Blues' title charge.
Cesc Fabregas has reportedly reached a verbal agreement with AC Milan
Fabregas has started just nine Premier League games for Chelsea this season
But Chelsea could find it difficult to reject a huge bid for the Spaniard with interest growing over a summer move.
And according to Italian newspaper La Gazzetta dello Sport, AC Milan have already made progress to lure Fabregas away from Stamford Bridge.
The Serie A club are set for a huge spending spree this summer with their new Chinese investors completing a £622million takeover yesterday.
Manchester United v Chelsea combined XI Wed, April 12, 2017
Express Sport brings you our combined XI of Manchester United and Chelsea stars ahead of the Premier League clash at Old Trafford on Sunday (4pm)
Play slideshow Getty Images 1 of 13
Who makes our combined Manchester United and Chelsea XI?
And the report claims one of their first pieces of business will be to try and tie up a deal for Fabregas.
Get Quotes on Home Insurance
Milan have reportedly reached an economic agreement with Fabregas over a potential move this summer.
The newspaper continue by claiming Lazio star Keita Balde has also reached a preliminary agreement with Milan while the club have also offered a £6.3million-a-year contract to Pierre-Emerick Aubameyang.