Chelsea midfielder Fabregas has endured a mixed season at Stamford Bridge.
The Spain international was ostracised by manager Antonio Conte in the early part of the season but earned his place back over Christmas.
However, he has again dropped out of contention for a first-team place, with Conte starting Fabregas in just two of Chelsea’s last six games.
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Fabregas was linked with a move to Milan last summer and Italian outlet Calciomercato claim contact was also made regarding the 29-year-old in January.
And Milan have again been in touch with Chelsea to see if the former Arsenal and Barcelona man is for sale.
According to the report, Milan officials Marco Fassone and Massimiliano Mirabelli are leading the charge to sign him.
AC Milan reportedly want to sign Chelsea's Cesc Fabregas
Fabregas has failed to get regular starts at Chelsea
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Fabregas (right) last played against AC Milan when at Barcelona in 2013
Fabregas is supposedly open to moving to Italy but one sticking point is his £156,000-a-week wages.
A Chinese consortium recently completed its takeover of Milan but the new owners do not have the cash to match that deal.
Furthermore, Chelsea are in no rush to sell Fabregas as his contract expires in 2019 and the report claims they could ask for as much as £25million for the midfielder.