Willian has "rejected a £230,000-a-week offer from Chinese side Shanghai Shenua", to fight for his place at Chelsea, UOL Esporte reports.
The Brazilian winger endured a tough season for the Blues last term, netting just three goals.
However, Willian is not keen to join Eden Hazard in leaving the club this summer.
Shanghai Shenua had also offered to "rent a paid-for flat, as well as two cars with drivers and a fee to be spent on plane tickets" should he desire.
Willian, 30, only has one year left to run on his current contract, but does not want to move his family from the UK out to Asia.
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