Chelsea have already contacted former Barcelona coach Luis Enrique, according to Sport.
Luis Enrique is the most appealing candidate to replace Conte and Chelsea have already expressed to the Spaniard their desire to have him in charge.
The Sports says the Blues are prepared to offer Luis Enrique a contract for the next two-and-a-half–years.
The 47-year-old has had offers from elsewhere but is prioritising a return to management with a sporting project at a club with potential, in an attractive city where his family will be comfortable.