The Brazil international has still not signed a new contract with Frank Lampard's side, meaning that, as it stands, he will be available on a free transfer at the end of June.
The 31-year-old recently revealed that he wants to stay in the Premier League next season regardless of whether he signs a new deal at Stamford Bridge.
However, according to Tuttosport, Juve are interested in bringing the South American to Turin.
The report claims that Old Lady boss Maurizio Sarri, who managed Willian at Chelsea last season, is keen on a reunion during the 2020-21 campaign.
The attacker allegedly wants to sign a new three-year deal with the Blues, who are only believed to be offering a contract until June 2022, leading to a breakdown in talks.
Willian has scored seven times and registered six assists in 37 outings at club level this term.