Liverpool are regarded as favourites to land Bayern Munich dazzler Douglas Costa this summer.
The Brazil international is frustrated with Bayern over new contract delays.
Tuttosport says Juventus have now entered the race for the £35million-rated winger.
But the report goes on to say that it is Liverpool who are leading the chase to sign the Brazil international.
Costa has started just 13 games this season with Carlo Ancelotti preferring Frank Ribery and Arjen Robben on the flanks.
Bayern president Uli Hoeness recently hinted Costa could be sold in the next transfer window over the player's complaints about new contract negotiations.
Reds boss Jurgen Klopp is well aware of Costa's talent - and knows he would fit seamlessly into his squad thanks to the presence of Brazil teammates Philippe Coutinho and Roberto Firmino.