Willian joined Chelsea for £30m in 2013 from Russia side Anzhi Makhachkala has helped the club win the Premier League on two occasions.
He has featured 292 times in total for Chelsea, scoring 52 goals.
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Willian is currently in the final 12 months of his deal at Stamford Bridge and, despite facing the possibility of losing him for free next summer, Chelsea are keen to keep hold of him next season.
The Blues may avoid the chances of losing the Brazilian winger for free next summer if they can reach an agreement over a new two-year deal.
Barcelona have had a long-standing interest in Willian and saw three bids rejected by Chelsea last summer, with the final offer worth more than £55m.
Barcelona renewed their interest in January, but once again were unable to strike a deal with Chelsea.
Read More details on £35m bids for Willian from Barcelona and Atletico Madrid rejected by chelsea.