Everton were determined to avenge the 1-0 loss in December, but the Reds looked buoyant from the onset with Mohamed Salah testing Jordan Pickford’s capabilities.
Salah continued battling with the opposite number by forcing a reaction save from Pickford in the six-yards, with Idrissa Gueye blocking Jordan Henderson’s follow-up on 29 minutes.
A wayward shot from Theo Walcott nearer to halftime were the hosts' best chance on goal, with the Reds controlling all areas of the spectrum.
The Toffees made a promising start to the second half when Dominic Calvert-Lewin’s downward header forced Alisson Becker to get down and make the save.
Most of the threats still came through from the visiting side, with the Everton defenders forced into timeous close-range challenges from purported efforts by Salah among others.
Marco Silva’s side stretched, pressed and pushed on all fronts for the victor, although indecisive decision-making up-front proved their downfall.
Heading to full-time, Liverpool scurried for the winner but Everton remained resolute in the closing stages to see out the clash and claim a share of the spoils.