The Sun says the Reds have been told they can land Argentina ace Biglia for a cut-price £4.5million in the summer.
Reds chief Brendan Rodgers is keeping a close watch on the Anderlecht playmaker, who is valued at £8m.
And he is aware that the Belgian champions are ready to let him go on the cheap.
Biglia, 27, has fallen out of favour with the Brussels-based outfit and even picked up a club suspension after going AWOL.
Now they are ready to let him go on the cheap.
Anderlecht managing director Herman van Holsbeeck confirmed: "If we get 5.5million euros for Biglia during the next transfer window, we will be happy."