The Daily Mirror say the Serie A side are prepared to offer Blues targets Antonio Rudiger or Radja Nainggolan in a bid to lure the midfielder to Italy.
Fabregas has found himself largely on the sidelines under Antonio Conte but he has proven his worth when given the chance.
“We know his qualities – he is a game changer”
Conte has preferred to go with N’Golo Kante and Nemanja Matic as his first choice midfield paring this term.
And it’s worked to devastating effect as they continue on a nine game winning streak.
Conte is keen to keep Fabregas and Roma know they will have to offer something special to prise him away from Chelsea.
The Italian boss has described him as an ‘important player’ and team-mate Cesar Azpilicueta echoed those sentiments earlier this week.
He told the Evening Standard: “To have a player like him at the club is really important.
“We know his qualities – he is a game changer.
“The passes he did during the win against Manchester City were amazing.
“He provided the assist for the goal which got us back into the game – Diego scored a very good goal. Not a lot of players can do that kind of pass.
“I have seen him do things like that for years, with Spain as well. The skill that he has is very special.”