The Brazilian scored 61 goals in 337 appearances for Chelsea, while he lifted two Premier League titles, an FA Cup, a League Cup and a Europa League trophy in a seven-year spell with the club.
Willian went on to spend only one season at Arsenal before moving to Corinthians in 2021, where he has scored three goals in 61 appearances.
Although he has over a year remaining on his Corinthians contract, The Mirror are reporting that Willian could be set to return to the Premier League.
Fulham are said to be interested in the 33-year-old as they seek to make further signings before the transfer window closes.
Marco Silva's side have made five additions to their side this summer - including the signings of Bernd Leno and Andreas Pereira from Arsenal and Manchester United respectively - but they are still keen to strengthen their squad in a bid to avoid relegation this season.
The Cottagers begin their Premier League campaign with a home game against Liverpool on Saturday.