The Daily Mail claim that the Blues have rejected a £50 million offer for the Brazilian global, now in Russian Federation alongside Coutinho and Paulinho.
It is thought that their Champions League defeat to Roma, combined with Ousmane Dembele's disappointing debut campaign have reinforced the need to add to their attack, with the thought of Willian linking up with fellow countryman Philippe Coutinho a tantalising prospect.
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Brazil are five-time winners of the World Cup , but have not triumphed in the competition since 2002. It looked like Neymar's game - or even his World Cup - could be over with 20 minutes to go.
However, the same report claims that Blues have now intention of selling the 29-year-old in this transfer window.
Jose Mourinho is very keen on being re-united with the player he brought to the Premier league five seasons ago.
Willian, who is now at the World Cup with Brazil, scored six goals and registered eight assists in 36 Premier League appearances last season.
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This prompted Spacey to apologize and come out as gay. "Um, fantastic actor, incredible actor . Spacey was sacked from the show shortly after the allegations came out.
Willian has not managed to cement a regular starting role under Antonio Conte over the past couple of seasons but he has still remained committed to the Blues, who have made him a better player. Have your say in the comment section below.
The La Liga champions are keen to bring Willian to the Nou Camp as they believe he would add depth to their squad and link up well with his worldwide teammate Philippe Coutinho.
Following comments by Courtois to the media ahead of Belgium's World Cup game against Japan, it is again being suggested that he wants to move to Real.
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If Willian were to leave, Chelsea have a number of youthful options lined up to replace him including Dortmund's American winger Christian Pulisic and 22-year-old Russian World Cup star Aleksandr Gololvin, of CSKA Moscow.