Piero Ausilio, technical director at Inter, confirmed yesterday that Ince, who is out of contract this summer and in line to receive plenty of offers, is considering a move that would follow in his father's footsteps.
Paul Ince, former manager of his son at Blackpool, spent two seasons with the Nerazzurri in the mid-1990s.
Speaking yesterday, Ausilio said of Ince: "He's a young player with an expiring contract who is weighing up several offers.
"It's definitely not a done deal for Ince. It's an intriguing possibility, him coming here in his father's footsteps."
The England Under-21 international spent the second half of the 2013-14 season on loan in the Premier League with Crystal Palace.