Croatian star Marcelo Brozović has been linked with a move away from Inter Milan all summer, with strong interest from Premier League clubs.
It is reported Chelsea have already made an informal offer of cash plus John Obi Mikel, as Conte maintains a serious interest in the Croatian midfielder.
Conte has asked Roman Abramovic to sign another midfielder after N’Golo Kante, and has identified Brozovic as an ideal target.
Inter have reportedly set a price tag of €30m on Brozovic, but Gazzetta believe they could settle for €25m.
Leicester City, West Ham United and Arsenal are also reportedly interested in signing Brozovic, but Gazzetta believe Chelsea are more convinced than the rest.
Inter have paid €8m in fees for Brozovic, who arrived at the club almost 18 months ago, and could make a significant profit if Chelsea step up their interest in the final days of the transfer window.