Roma have rejected a £28m bid from Liverpool for Mohamed Salah.
While the Blues only signed him for £11m from Basel, Liverpool could have to play almost triple that to secure Salah, who scored 15 goals in Serie A last season.
He also grabbed 11 assists in Serie A over the last campaign, as Roma finished second.
Liverpool began the transfer window by securing the signing of Chelsea striker Dominic Solanke and it is anticipated there will be a number of new arrivals before the start of the season.
Reds manager Jurgen Klopp is also understood to be interested in Southampton defender Virgil Van Dijk, who is also a reported target for Chelsea, Manchester City and Arsenal.