Klopp was shown a red card late in the sport for screaming within the face of assistant referee Gary Beswick. The German has since accepted that his actions were flawed.
The FA are believed to be concerned that the growing rivalry between the 2 clubs is bringing the sport into disrepute and are searching for to mediate relations.
Klopp has since apologised to Guardiola for the alleged coin-throwing, while Liverpool have publicly condemned supporters. “Oh, horrible. I’m sorry. I apologise for that,” the Reds boss said.
“I had no idea about it. I used to be obviously not within the stadium at that moment, I didn’t see him anymore after the sport. Oh I did see him but it surely never should occur, never, ever. No [I didn’t see the coins], in fact not. I saw Pep.”
