Olympique Lyonnais have, according to Tuttosport, been in contact with the Uruguayan but the high salary could cause complications for the Ligue 1 side.
If the veteran decides to leave Milan this summer, Inter have been looking at investing in a young player, with Hellas Verona youngster Marash Kumbulla and Nice defender Malang Sarr available.
But Tottenham Hotspur defender Jan Vertonghen has been linked with the Nerazzurri too and any deal will, according to the newspaper, depend on the future of Godin
The 34-year-old arrived from Atletico Madrid last summer and signed a deal until June 2022 but has struggled to convince Antonio Conte and has not decided on his future.