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Then Liverpool netted the only goal.
Enrique's side had 27 shots - the second-most on record (from 2003-04) by a side in a Champions League knockout match in which they failed to score and lost.
Unfortunately for Enrique and PSG, they also hold the record for that with 30 shots in their semi-final defeat by Borussia Dortmund last season.
Liverpool goalkeeper Alisson, named the man of the match, had made nine saves.
PSG's Gianluigi Donnarumma made none, conceding Liverpool's only shot on target from Harvey Elliott with three minutes to go.
It ended PSG's 22-game unbeaten run and 10-game winning streak in all competitons.
Enrique said: "I don't think it's too difficult to analyse tonight's game.
"We created more chances and produced a complete performance against one of Europe's top sides.
"Their best player was their goalkeeper - he was magnificent today.
"We were far superior.
"We were not under-par, it was just down to the quality of the opposition.