Off contract at the end of June with Manchester City, De Bruyne is in talks with Napoli.
TMW says Napoli's offer is for a two-year contract, plus a 12 month option, and has already been reviewed by De Bruyne's legal team.
However, with no pen yet put to paper, Juve are making a move to get involved in negotiations.
Indeed, Juve chiefs held a call with De Bruyne to register their interest and explore the prospect of the 33 year-old choosing Turin over Naples for his next home.
But Napoli remain favourites to land De Bruyne thanks to the groundwork performed by sporting director Giovanni Manna.