The England Under-21 winger has been given permission to join a Premier League club on loan for the remainder of the season, with his contract set to expire at the end of the season.
Ince is understood to have already held talks with Swansea and Crystal Palace over a potential switch, although now two more Premier League clubs have joined the race.
Liverpool – who sold Ince to Blackpool back in 2011 for an undisclosed fee – and Ole Gunnar Solskjaer’s Cardiff, have both registered an interest in the winger, who has scored seven goals for Blackpool this season.
Reds boss Brendan Rodgers has set his sights on the 21-year-old, having missed out on top target Mohamed Salah, who opted to join Chelsea last week.
Ince remains unsure about the idea of a return to Anfield, following a lack of first team opportunities during his first spell. However, he is expected to hold talks with the Reds within the next 48 hours.
Cardiff officials will also meet with Ince in an attempt to make him Ole Gunnar Solskjaer’s seventh signing of the January transfer window.
Cardiff have recently added Stoke striker Kenwyne Jones, plus Manchester United duo Wilfried Zaha and Fabio on loan.