Against Aston Villa, both players were unable to prevent themselves from bickering at half-time when tensions flared in the dressing room, but netted last-gasp efforts as the visitors went on to secure all three points in the most dramatic of fashions.
"Want to talk about half time?" Klopp jokingly asked Robertson during an 'On This Day' discussion with BT Sport.
Robertson replied: "The first time me and Sadio ended up falling out."
"At half time, nobody could have thought these two players would end up deciding the game," Klopp added.
Robertson then jibed: "We should maybe try it more often if it gets me some more goals!"