The Anfield encounter pitted the league leaders against a Reds side occupying the bronze medal position, having been knocked off their second-placed perch by Aston Villa on Friday evening.
However, with Villa only managing to glean a point from their battle with Sheffield United — wasting the chance to go top of the table in the process — Arsenal and Liverpool knew that any victor in Saturday's Anfield battle would spend Christmas Day in first place.
Akin to their fast start at Anfield last season, Arsenal exploded out of the blocks against Jurgen Klopp's side and took the lead with just four minutes gone, as Gabriel Magalhaes headed home from Martin Odegaard's free kick.
The Reds soon began to get a foothold on proceedings, though, and they needed just 25 minutes to wipe out Arsenal's advantage, as Salah latched onto a sumptuous cross-field ball from Alexander-Arnold, gave Oleksandr Zinchenko the slip and fired home into the roof of the net.
By providing the stunning diagonal pass for Salah to finish, Alexander-Arnold registered his 57th assist in the Premier League, the joint-most for any defender in the history of the competition.
Alexander-Arnold's tally is identical to that of teammate Andrew Robertson, who has been out since October with a serious shoulder injury and is not expected to return to action until the middle of January at the earliest.
Meanwhile, Salah's ferocious strike marked the Egyptian's 121st direct goal contribution for Liverpool in the Premier League, having struck 88 of his own while setting up another 33.
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