The Reds departed John Lennon airport around 5pm BST, touching down in Geneva at 7.40pm local time before making their way to their team hotel, with 29 players included in the travelling party.
The squad had earlier taken a training session at Melwood prior to leaving for the continent.
New signing Alisson Becker will join up with the group, as too will Roberto Firmino following his participation in the World Cup finals with Brazil.
Trent Alexander-Arnold will report for duty early after England duty and is set to arrive on Tuesday to begin pre-season training with his teammates.