The winger, who spent the second half of last season on loan at Crystal Palace, has been offered a new deal by Blackpool but could now follow in his father's footsteps
The highly rated youngster, who spent the second half of last season on loan at Crystal Palace - scoring once in eight appearances - is reportedly also a target for Premier League sides.
Ince's contract expires next month but, due to his age, a tribunal will determine the fee owed to Blackpool and Ausilio hopes the England Under-21 international will join Inter as his father, Paul Ince, did 19 years ago.
"He's a young player with an expiring contract who is weighing up several offers," Ausilio told reporters on Saturday.
"It's definitely not a done deal for Ince. It's an intriguing possibility, him coming here in his father's footsteps."
Palace manager Tony Pulis has previously spoken of a desire to keep Ince on a permanent deal, while Blackpool revealed on Friday they have offered the player a new deal.