Mohamed Salah previously represented the Blues between 2014 and 2016 but failed to feature in the team and left with only scored 2 goals from 19 games.
Salah played for Roma before arriving in Liverpool in 2017, and has scored 123 goals, and provided 45 assists in 198 games for his current side in all competitions.
The future of the Egyptian world at Anfield is still in doubt, although the invader has recently revealed that the Red is not yet close to him under a new agreement.
According to Bild correspondent Christian Falk, Chelsea have included Mohamed Salah in their summer list alongside Erling Haaland and Romelu Lukaku.
The Egyptian striker, also thought to be a PSG transfer target, has scored 29 goals in 46 games for Liverpool this season, including 20 goals in 32 Premier League appearances.