The Mirror says Liverpool are eying Argentine holding midfielder Biglia as a possible replacement for Lucas Leiva.
Brazilian ace Leiva, 24, was the Reds' player of the season last term and penned a big-money new deal in March.
If Leiva does go, Liverpool will need a cut-price replacement to deputise and protect the back four.
Biglia plays for Belgian side Anderlecht after joining from Argentina's Independiente in 2006.
He helped Argentina's Under-20 team win the 2005 FIFA World Youth Championship, alongside Lionel Messi, and played for the senior side in this summer's Copa America.