Liverpool made it three wins from three but they were made to work against Villarreal in the third gameweek of the Champions League.
Andoni Iraola's men came from 2-0 down to add to their wins over Atlético Madrid and LASK and rose to second in the league phase table with another night of action to come.
Villarreal remain on three points, having previously fallen to Borussia Dortmund and beaten Napoli.
