With Blues interim boss Rafael Benitez failing to win over the fans and the club suffering a poor run of form, they are now looking at other candidates to replace him when his deal runs out at the end of the season.
Italian newspaper Gazzetta dello Sport claims owner Roman Abramovich is preparing a move to offer Conte the manager’s post at Stamford Bridge.
Conte, 43, won the Serie A title with Juventus last season and has a wealth of experience.
But the Italian coach is no stranger to controversy.
He was slapped with a ten-month ban, reduced to four on appeal, after he was accused by the Italian Football Federation (FIGC) of failing to report alleged match-fixing involving Siena when he managed them in the 2010-11 Serie B season.
Reports in Italy also claim that Chelsea continue to monitor the progress of Blues legend Gianfranco Zola, who is having a successful season with Watford in the Championship.