'Sky Italy' is reporting that the Napoli defender has been subject of a big money offer from Chelsea, with Blues boss Konte a big fan.
Napoli have not responded to Chelsea's approach and the west London club may have to remain patient while Napoli contemplate the offer.
However, the player's agent, Bruno Satin, did confirm that he wanted to leave and that Koulibaly would not sign new contract with the Naples club. Satin also revealed that the defender would not leave for Juventus.
"Chelsea still want him and there's time to close the deal," Satin said.
"We've decided to leave for economic reasons. After what happened to Higuain, though, Kalidou will not be leaving for Juventus or another competitor".
Does this mean that Koulibaly could be on his way to Chelsea?