Spanish outlet Don Balon say the Blues have approached the Chilean – and he’s keen on the idea of a fresh challenge.
He is said to be interested in coming to England having previously played in his homeland, Germany and Italy.
Bayern Munich are also thought to be willing to sell as they start to look to the future.
They want to give Joshua Kimmich and Renato Sanches the chance to make their mark and take on the baton from the older players.
Conte knows Vidal well and managed him at Juventus between 2011 and 2014.
In Don Balon‘s eyes this move looks to be a goer from all sides.
However, the report adds that the west London club must make it into the Champions League next season if he is to complete a summer move.
But that looks like an achievable goal at the moment with Conte’s men 10 points clear of Tottenham in fifth place.