Klopp surprisingly left Mane out of his starting XI to face Chelsea, choosing to play Alex Oxlade-Chamberlain instead.
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But after Willian’s late equaliser, the Liverpool boss turned to the Senegal ace to try and salvage a win and all three points.
Cameras caught Klopp shouting at Mane and the winger responding back to the German coach.
After the match, Klopp attempted to diffuse the situation by hugging a visibly frustrated Mane.
And speaking in his post-match press conference, Klopp explained why the pair were arguing.
Klopp said: “I was shouting at him because he was in the centre.
“He said to me that Mo wanted to come into the position but Mo had 90 minutes in his legs. I wanted Sadio on the right-wing.
“Everything is now sorted immediately.”
Despite conceding a late equaliser to Chelsea, Klopp admitted it could turn out to be a good point for the Reds – although he admitted it would take him some time before he was happy with the result.
“I think I need a little bit of time to be happy,” he said.
“I’m happy about the performance, how we took the game. It’s a little bit more difficult when Chelsea played with eight defenders more or less.
“After a week like this (long trips away in the Champions League) we have both had, it was one of the better draws I’ve seen in my life.
“Of course, if you’re at home 1-0 up, you want the three points, that’s my problem at the moment.
“It was a really good game and at the end, it’s one point against Chelsea. There will be a moment tonight when I think the result is OK – but not now.”