According to II Mattino, the Blues have joined a queue of Premier League clubs that are monitoring Lorenzo Insigne.
Arsenal and Tottenham are also said to be paying close attention to his movements.
Liverpool have been linked with the Italian in the past; a player Jurgen Klopp once called ‘fantastic’.
The 30-year-old has entered into the final 12 months of his Naples contract, without any indication yet that he will sign a new deal.
Insigne has been with Napoli for over a decade, wrapping up nearly 400 appearances in that period.
He enjoyed a very healthy return in the previous campaign, scoring 19 times and providing 11 assists in 48 games.
His focus is currently on helping his national side to European Championship glory; a feat that looks very achievable.
Win the competition and Insigne’s stock is set to rise even further, as will the clamor for his signature.
Chelsea are pretty well stocked in forward areas, so a move for Napoli’s skipper might seem overkill.
But it would unite him with his compatriot Jorginho, the two having already formed a strong friendship on international duty.
In a press conference ahead of Italy’s Euro 2020 tie against Austria, Insigne said Jorginho was worthy of a Ballon d’Or nomination and described him as a ‘great player’.