The offer is just the beginning of the transfer saga as Roma are open to doing business and have told Liverpool they want £40 million for the attacker.
Salah has been a revelation in Italy since leaving Chelsea and scored 19 goals and provided 15 assists from the right wing this season.
It is a remarkable return for a player that effectively flopped at Stamford Bridge and Jurgen Klopp has identified Salah as the perfect addition to his squad.
The Daily Mail claim Roma have rejected the Reds’ opening offer, but discussions are expected to continue.
Liverpool must raise their offer considerably if they want to snare Salah as Roma believe their star is worth upwards of £40 million.
Salah is an Egypt international and joined Roma permanently from Chelsea last summer after an initial loan spell.
Chelsea beat the likes of Liverpool to Salah in 2014, but the 24-year-old never managed to stake any kind of claim at the club, struggling for game time.