The Reds are reportedly keen on the Benfica forward.
The Reds have already brought in four new signings this summer as Loris Karius, Joel Matip, Marko Grujic and Sadio Mane have all arrived at the club.
More signings are expected at the club as manager Jurgen Klopp looks to mould the squad to better suit his needs.
He may look to make further additions to his forward line in particular, especially with Christian Benteke looking likely to leave in a move to Crystal Palace.
One player he has been linked with is Benfica forward Anderson Talisca, with O Jogo reporting this week that the Reds had already applied to the FA for a work permit.
O Jogo have now updated that initial report, stating that Liverpool will pay around £21 million for the Brazilian forward.
According to them, he will move to the Premier League with an exceptional work visa. He is also keen on the deal; with the newspaper reporting that he is anxious to get the deal over the line.