Atletico took the round 16 tie into extra time before eventually winning the second-leg 2-3 - and the tie 4-2 on aggregate.
Simeone responded to comments from Klopp that he didn't “get" Atletico's style of play, insisting they didn't play "proper football".
“I respect his identity and the quality footballers they have," he said.
“We try to exploit deficiencies in the opponent. That's what we do. And we try to win."