The duo came face to face in the Premier League, as the Reds beat Luton 4-1 at Anfield.
Despite Luton leading 1-0 at half-time, they were undone by the mighty Reds in a scintillating second half.
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Klopp had gone to youngster Jayden Danns post-game, as the 18-year-old had come on for his first-team debut late in the game.
Edwards, despite having just lost by a 4-1 margin, went over and spoke briefly with Klopp.
He told the German I played against his dad," which appeared to get a laugh out of both Liverpool men.