Arne Slot’s side fell behind to a low, drilled Harry Wilson effort in the first half, which required VAR intervention following the attacker initially being ruled offside.
In similar fashion midway through the second period, Florian Wirtz also saw the video assistant referee award his strike after a flag was again raised to deny his sweeping finish at first.
Cody Gakpo then struck from close range in the fourth minute of added time at the end, though his possible winner was cancelled out three minutes later by a stunning solo goal from substitute Harrison Reed.
Team
Liverpool made three changes for the Craven Cottage clash as Gakpo, Milos Kerkez and Alexis Mac Allister returned to the starting line-up.
Hugo Ekitike missed out due to a hamstring issue, while Joe Gomez returned as a substitute after injury.
Liverpool: Alisson, Van Dijk, Konate, Kerkez, Wirtz (Frimpong, 76), Szoboszlai, Mac Allister, Bradley, Jones (Chiesa, 85), Gakpo (Gomez, 90+6), Gravenberch.
Unused subs: Mamardashvili, Woodman, Robertson, Nyoni, Ramsay, Ngumoha.
