De Bruyne, 33, leaves when his city agreement ends at the end of June.
The Daily Mail says that there are conversations with Napoli about joining the Series A -Leaders in a Bosman transfer.
A two -year contract has been picked up, which De Bruyne is happy with, although he will wait for Napoli's salary package before taking the next step.
In the meantime, Conte is ready to organize a phone call with the Belgian to determine his plans for the experienced midfielder and also what he wants from his Napoli team next season.