According to The Guardian, The Reds have bid for Udinese’s Piotr Zielinski, who has spent the last two seasons on loan at Empoli.
The 22-year-old, part of Poland’s Euro 2016 squad, is also wanted by Napoli.
Meanwhile, the Reds are insisting on £10-million for Joe Allen.
The Welsh midfielder is wanted by his former club Swansea, where he played 127 games before moving to Anfield with Brendan Rodgers for £15-million in 2012.