Alexander Isak opened the scoring for the Reds, who were led by Andoni Iraola for the first time at home, and then Florian Wirtz doubled the advantage from close range.
Aleksandr Golovin converted a penalty for Monaco to reduce the deficit ahead of the break, with Mika Biereth and Paris Brunner both netting in the second half to give the visitors victory.
All Red Full and Video members can catch up on the key moments on Sunday, and the game from start to finish, below.
Watch Liverpool's two matches against Como 1907 live on All Red Video on Sunday - join here
