Alexander Isak advanced with a goal for Newcastle before the break, in his first appearance in the league, coming from Real Sociedad.
But Roberto Firmino equalized for the home side after an hour of play, before the killer goal came in the last seconds.
Liverpool have 8 points from 5 games, and advanced to fifth place, 7 points behind leaders Arsenal.
On the other hand, Newcastle’s balance froze at 6 points, occupying eleventh place.
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