Ince turned down a move to south Wales in the summer but may have changed his mind now with Blackpool struggling for form in the Championship and promotion looking unlikely although Swansea are also interested in the winger.
The England under-21 international has also been linked to Swansea and Liverpool in recent months but Cardiff may be first to knock on the door of manager and father Paul Ince to tempt the star to the Premier League.
Solskjaer has admitted that he wants to add some new, young players to his squad as the chance to work with such talents excites him, although the former Manchester United forward declined to comment on individuals.
When asked about Ince, Solskjaer said: “I can’t say.”
“I love working with young, enthusiastic players wanting to learn, wanting to improve.”
Cardiff boss Vincent Tan is expected to give his new manager more than £20million to spend this month, just weeks after he told sacked Malky Mackay that he couldn’t have a penny.