Conte has sat out this season after leaving Tottenham almost 12 months ago.
La Repubblica says Conte could return to the Premier League and Chelsea.
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The London giants have already offered Conte a lucrative contract to replace Mauricio Pochettino this summer.
AC Milan and Napoli are still in the picture, but don't seem to be pushing for Conte at the moment.
Conte was in charge of Chelsea between 2016 and 2018. He won the Premier League in his first season.
Pochettino has a contract with Chelsea until the summer of 2025 with an option for another year.