The Sun says the Reds tried to land Ince, 21, in January but Blackpool refused to lower their £6million valuation.
Yet Kop boss Brendan Rodgers remains a big admirer and hopes a fee in the region of £4m will tempt them this time.
England Under-21 forward Ince has taken giant strides since leaving Anfield in August 2011.
Is a Liverpool return the best move for Ince? Give us your shout below...