The England Under-21 international has attracted interest from a host of Premier League clubs and Tottenham, Cardiff and Liverpool were also linked with Ince last year.
Swansea and Palace have joined the race for the 21-year-old's signature, just hours after the transfer window opened.
Both clubs are believed to have contacted Blackpool about a possible deal, but it remains to be seen if his father Paul, the Tangerines boss, is willing to let him leave in January.
Ince is thought to have rejected a move to Cardiff in August because he wanted to remain in the north-west with his family.
But he is targeting a place in England's senior side and knows that a move to the top-flight would improve his chances of impressing manager Roy Hodgson.
Speaking in the summer, Ince said: "I have been playing for England under-21s, and if I am under consideration for the senior squad, might not a Premier League platform help make it happen? Especially in a World Cup season."