The pair interacted with each other on a number of occasions during the feisty 2-2 Premier League draw at Anfield and Klopp did not exchange the customary handshake with his opposite number.
Speaking immediately after the match, Klopp said he had not shaken hands because “it was not a friendly game” and also criticised West Brom’s style of play.
Pulis was clearly still stewing over the incident when he spoke to the media yesterday and argued Klopp’s criticism was to deflect attention from the Reds’ failings.
The Welshman said: “If I had a team that was worth £200m (€275m), playing against a team that was worth less than £20m (€27.5m) and we never won that game, I’d be doing my best to divert it away from the fact I had 10 times more value on the pitch than my opposition and couldn’t win.”
Klopp learned of Pulis’ comments just before his press conference ahead of tomorrow’s clash with Watford but chose to extend an olive branch.
The German insisted he had simply forgotten to shake hands in the heat of the moment as he went to his players to celebrate their late equaliser and thank the fans.
Klopp said: “I can easily say sorry for everything I said during the game because I am very emotional, I think Tony Pulis is similar, and there were a few words.
“For me it was not a big problem but it was very intense and after the game I wanted to go to my team. Really I forgot to shake hands. That’s all.
“If we meet today, it would be no problem to say sorry and to shake hands, to have a talk about whatever. I have big respect for his work.”
Liverpool will be without midfielder James Milner for the Watford game after he sustained a calf injury in training, with Klopp admitting he does not know when the England man will be available.
Defender Dejan Lovren misses out with the knee problem he suffered against West Brom but there was good news on the former Southampton player.
It was initially thought he would be out for around a month but Klopp revealed Lovren could be back for the St Stephen’s clash with Leicester.
He said: “That was one of the best pieces of news after the West Brom game. It’s not that serious. If he could train next week from Tuesday or Wednesday, it would be an option for Leicester. I think after Leicester for sure he should be available again.”
For his part, Watford boss Quique Sanchez Flores says his attentions will be on the Liverpool team rather than their charismatic manager.
“He’s a very positive manager and he’s always thinking about good, offensive football,” Sanchez added.
“But I’m not thinking too much about the coach, I’m thinking about Adam Lallana, James Milner, Emre Can, Christian Benteke.”