Mbappe had put PSG on course for all three points with a ninth-minute strike after receiving the ball from Draxler, to get his first Champions League goal of the season.
The visitors threw everything at PSG and almost got something for their courage. Andre Silva hit the goal post in the 27th minute and scored a minute later, superbly heading the ball past Keylor Navas to give Leipzig a deserved goal in the 28th minute.
Leipzig took the lead 12 minutes after the restart of the second half. Angelino located Nordi Mukiele with a perfect cross , and the 23-year-old Parisian native cooly put the ball in the back of the net. Giving the visitors a deserve lead.
The hosts responded quickly with a change of system to level the scoreline. Achraf Hakimi forced a turnover high up the pitch, setting Mbappé away to square to Messi, who finished at the second attempt after his first effort was tipped onto the post.
Seven minutes later, Mbappé won a penalty after being fouled by Mohammed Simakan. Messi then entered the fray to score his second and third Champions League goals for the Parisian, rescuing all three points for Mauricio Pochettino’s side and also extend their record. PSG now only has one defeat in their last 29 Champions League games.
Mbappe, who had scored his previous 11 spot-kicks for PSG, said he told Messi to take the first penalty. “It’s normal, it’s respect,” the France forward said.
PSG were awarded another penalty in the dying minutes of the game. The Italian referee consulted the VAR after Achraf Hakimi was fouled. But instead of Messi stepping up for a hat-trick, Mbappe took it instead and volleyed it over the bar.
Reacting after the game, the World Cup winner with France, Kylian Mbappé said “He’s the best player in the world, it’s a privilege he plays with us, I’ve always said it. There’s a penalty, he takes it, period. For the second, he said I should take it.”
The result left PSG top of Group A with seven points from three games, one point ahead of Manchester City, who demolished Club Brugge 5-1 away earlier on Tuesday. Leipzig have no points from their three games.