After Chelsea signed Chilwell earlier in the summer window, Marcos Alonso future at the club was put in doubt.
The Spaniard, who is much better suited to a wing-back role than a full-back one, does not fit into Lampard’s long-term plans and could be sold this summer.
And Sky Italia, via Sports Mole, report that Inter Milan are at the front of the queue to secure a transfer.
Antonio Conte, who is the head coach at Inter, used Marcos Alonso in a wing-back role brilliantly during Chelsea’s last title victory and would seemingly like to reunite with his former star.
Chelsea are said to be open to offers.