Jordan Henderson finished from close range moments later to get the score to 3-1 and secure the points for Liverpool, keeping them on pace in their title quest.
Liverpool will be looking to continue their recent momentum, as they now sit just one point behind Manchester City, who are top of the Premier League table.
And fans gleefully welcomed back their hero at a crucial time for the club's season.
However, Salah launched a counter attack from inside his own half before the former Chelsea FC winger held his nerve to place his finish past Angus Gunn despite a lengthy run.
All good forwards are a threat in any position but Salah's trademark is his runs in behind and he's scored 47 of his 50 league goals from inside the box. "That's the most important thing".
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The Premier League title race is essentially down to two teams, one of which is taking the pitch on Friday afternoon.
Substitute Jordan Henderson tapped home a late third to seal the success after Naby Keita's first goal in English football cancelled out Shane Long's early opener for the in-form hosts. "There have been so many late goals you think is their name on it".
Van Dijk sprayed the ball to Roberto Firmino and his low centre was ideal for onrushing England midfielder Henderson to tap home.
"We spoke about that, he played there for England and looked really good".
Liverpool's leading scorers on the campaign are Mohamed Salah and Sadio Mane, who each have netted 17 goals. "I am really happy with the performance, we knew it would be hard so winning here is not easy but we did it". "I thought the lads showed great character under a little pressure in the first half, but to come out and win in the second half is a big win - a big performance".
As Liverpool struggled in the second half, it seemed like the advantage would go to City.