The French outfit took the lead through Kylian Mbappe but goals from Andre Silva and Nordi Mukiele left them trailing 12 minutes into the second half.
Summer signing Lionel Messi added a brace late on in the second half to secure all three points for Mauricio Pochettino’s side.
Here at Anytime football, we look at major talking points from tonight’s contest.
Lionel Messi looking like his former self once again
The former Barcelona star was the match-winner for Paris Saint-Germain tonight with two vital goals in the second half and the PSG fans will be delighted with what they have seen from their summer signing.
Messi has had a slow start to life at Paris Saint-Germain but he seems to have picked up pace in recent weeks and it will be interesting to see if he can build on this and get back to his peak form in the coming weeks.
Leipzig must sort out defensive issues
The German outfit have done reasonably well going forward against all three opponents in their group but they have been let down by a vulnerable defence.
The Bundesliga side lost key defenders like Ibrahima Konate and Dayot Upamecano during the summer transfer window and they will have to invest in quality defenders if they want to do well this season.
RB Leipzig have conceded 11 goals in three Champions League outings so far.
PSG’s strength in depth
Despite being without world-class attackers like Neymar and Angel Di Maria, PSG managed to create numerous chances for themselves and they could have easily scored more goals on the night.
The French outfit will be expected to challenge for the Champions league title this season after the kind of transfer window they had.
Their depth and quality was evident tonight and the victory over Leipzig will certainly send out a statement to their rivals.