Spurs have a decision to make on what to do with the former England youth international this summer amid interest from overseas.
Tanganga, 23, remains under contract at the Tottenham Hotspur Stadium until the summer of 2025.
However, AC Milan are reported to be keen on taking him over to Italy in this transfer window, according to Gianluca Di Marzio.
Tanganga has risen up through the academy at Spurs and has made 43 appearances for their first-team in all competitions.
He does provide useful depth to their defensive department though which is something the club will need to take into account before deciding whether to let him depart.
AC Milan have enjoyed success with fellow Englishman Fikayo Tomori, who they signed from Chelsea back in 2021, and could see Tanganga as someone to have a similar impact.
Who has left this summer?
Conte is preparing for his first full campaign in charge and has had a few players leave as he looks to put his own stamp on the squad.
Defender Cameron Carter-Vickers has been sold on a permanent basis to Celtic, Pierluigi Gollini went back to Atalanta, Alfie Whiteman remains on loan at Degerfors and development players such as J‘Neil Bennett, Kacper Kurylowicz, Josh Oluwayemi and Tobi Omole were released.