"There is nothing personal between him and me. These things happen," said Tuchel after Mbappé reacted angrily to being substituted midway through the second half of PSG's 5-0 victory at the Parc des Princes, with Mauro Icardi taking his place.
"It was between a player who does not want to come off, and a coach who had his reasons for doing something, and who wanted to give a game to players who deserved it."
After Saturday's match, Tuchel admitted that the reaction of Mbappé "doesn't look good" and pointed out that: "This is football, not tennis, and you have to respect everyone."
The 21-year-old World Cup winner, who had scored his 14th league goal of the season in the victory, exchanged words with Tuchel as he came off, and then stormed to his seat on the bench, throwing away a training top in disgust.