boss Diego Costa has emerged as the frontrunner for the Italy job after the Azzurri failed to qualify for the World Cup for the first time in 60 years.
Gian Piero Ventura is expected to lose his job in the coming days as the country comes to terms with missing out on football showpiece finals.
And Blues boss Conte is top of the list for senior Italian FA chiefs, according to The Mirror.
Conte managed the Azzurri for two years, guiding the national team to victory over holders Spain in the round of 16, but lost in the quarter-finals on penalties to Germany.