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PSG could have been four goals up at the break, but Moise Kean and Mbappe had efforts ruled out by VAR for offside, which would ultimately prove costly.
Kevin Volland'ssecond-half brace and a late Cesc Fabregas penalty gave Monaco a stunning 3-2 comeback win, putting them into second place ahead of the weekend's games.
Speaking to Telefootafter the match, Tuchel lamented his side's capitulation in their first loss since the second match of the season.
“Catastrophic? Yes, the second half," Tuchel said. "We controlled the game, we scored twogoals, andwe could have scored two more. The third was onside. We had opportunities.
"In the second half, we didn't have the same concentration. We weren't serious enough. We didn't recoverthe ball with the same quality, and we didn't seriously defend. We are completely responsible for this defeat, when the match was almost over in our favour.
"They felt it was 3-0 or 4-0 when it was only 2-0. I have no explanation. I have to accept all the criticism, because we have completely stopped playing, and we haven'tdone what is necessary to win."
Catastrophic was also the word defender Presnel Kimpembe used to describe his side's performance.
"We had a catastrophic second half, even unacceptable,"Kimpembe said."We don't have the right to havea half like that with the team we have."
The last timePSG lost a Ligue 1 game after leading by two goals was back in January 2015, when they fell 4-2 toBastia.
It was also the first time PSG had conceded at least two goals in a Ligue 1 match since they defeated Bordeaux 4-3 in February.