The 22-year-old rejected a move to Inter Milan last month, stating that he has unfinished business in the Premier League.
Ince told the Hull Daily Mail: "That's the first day of talks but it's all gone well. It's still ongoing. We'll see where it goes in the next couple of days.
"I've had a look round the facilities and the way they want to go with the club is forwards. They've got the right backroom staff and [manager] Steve Bruce has been absolutely fantastic for this club."