The Spanish side rescued a point at Anfield thanks to a curling effort from Joaquin Correa to see the match finish 2-2.
It was a fiery affair, with Sevilla boss Eduardo Berizzo being sent to the stands for throwing the ball away to waste time and Joe Gomez receiving a second yellow card in injury time.
Following the clash, BT Sport camera filmed Klopp confronting the opposition bench.
“Why are you shouting at me? Don’t touch me,” he yells.
“What have I done? I didn’t send him [Berizzo] off did I?”
In his post-match interview, the German explained his disagreement with the bench.
“I had no influence on the decision of the ref.
“The bench though I am responsible for his red card and so they didn’t like me too much but it’s not a problem.”
The result came as a blow to Liverpool, given they had the chance to put the game out of reach with Roberto Firmino’s penalty.
In the other Champions League matches last night, Manchester City cruised to a 4-0 victory over Feyenoord, while Tottenham overcame their Wembley curse to beat Borussia Dortmund 3-1.
