The England Under-21 international rejected a move to Cardiff in the summer but Swans chairman Huw Jenkins is optimistic about his chances of luring him to the Liberty Stadium
Goal revealed in October that Tottenham are preparing a £5 million January move for England Under-21 international Ince, although he has already turned down a move to the Premier League, rejecting Cardiff in July.
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"He is a very good young player and one we looked at in the summer," the Swansea chairman told the Daily Mail.
"I would say it is likely that we will be talking to Blackpool again. I know their chairman, Karl Oyston, and when the time is right we will make contact and see what can be done."
Meanwhile, Swansea defender Angel Rangel is hopeful of getting a good result in their crunch clash with Fulham on Saturday.
"We've done very well at Fulham in the last few seasons. It has really clicked for us in the last two games there - we played very well - and hopefully we can make it three on the trot," he told Swansea's official website.
"But obviously they came to the Liberty in May and won 3-0 in the final game [of last season]. That's not to say we are out for revenge or anything like that.
"That was last season and now we are focused on getting another win to help us this season.
"We were very unlucky against Stoke not to pick up three points [during their 3-3 draw]. We showed a lot of spirit to come back from 2-0 down but there were plenty of positives to take from that game to move forward even though we did not win."