The 47-year-old Italian enjoyed an impressive debut campaign with the Blues as he guided the club to the Premier League title and he appeared set to enjoy a long stay with the West London outfit.
However, reports in the past week have suggested that Conte is looking to gain more control of recruitment matters at Chelsea this summer, while the club’s hierarchy are determined to press on with bringing in targets such as Monaco’s Timeoue Bakayoko and Everton striker Romelu Lukaku.
Due to the impasse Conte has still not signed the contract extension which was offered to him at the end of last season, leading to speculation that he could be leaving the club.
And while Chelsea are keen to keep the former Juventus boss, reports claim they are already lining up suitable alternatives with Enrique believed to be top of the list.
The 47-year-old Spaniard departed Barcelona at the end of the season and claimed he was looking to take a break from football.
But the prospect of defending the Premier League title and Champions League football back on the schedule at Chelsea next term, the club will no doubt feel confident that they could entice him to England.