Super sub Eric Maxim Choupo-Moting struck the stoppage-time winner.
Sporting director Leonardo Araujo, back for a second stint in the role, has said the Brazilian can leave if a buyer is found.
'The PSG performance gives us hope and belief we can do it, but we are playing against the favourites'
The two-legged ties will be played from February 16.
Hosts France reached the Olympic men's football semi-finals for the first time in 40 years with a 1-0 win over Argentina thanks to Jean-Philippe Mateta's first-half goal in a grudge match in Bordeaux on Friday.
Paris St Germain completed a domestic treble as they beat Olympique Lyonnais 6-5 on penalties to lift the French League Cup on Friday with the match ending in a 0-0 stalemate after regular and extra time. Second-half substitute Pablo Sarabia scored PSG's final penalty in the shootout after goalkeeper Keylor Navas had saved Bertrand Traore's spot kick to give the Ligue 1 champions and French Cup winners their ninth League Cup trophy.
France overcame a slow start to beat neighbours Belgium 2-0 for their first points of the Nations League campaign.
Neymar again released a lengthy statement saying that he regretted how the entire situation unfolded
Barcelona forwards Ousmane Dembele and Lionel Messi fired the Catalans to a confidence-boosting 2-0 win at in-form Sevilla on Saturday to keep the pressure on La Liga leaders Atletico Madrid.
Images from the UEFA Champions League matches played on Wednesday night.
Images from the UEFA Champions League matches played on Tuesday.
Paris Saint Germain's Neymar, Laywin Kurzawa and Leandro Paredes as well as Marseille's duo of Dario Benedetto and Jordan Amavi were given their marching orders after rival players threw punches and kicks at each other.
The Brazilian is likely to make his first appearance of the season for the Ligue 1 leaders at home against Racing Strasbourg on Saturday.
The Court of Arbitration for Sport (CAS) said on Tuesday it had upheld PSG's appeal against UEFA on the grounds that the body took too long to review its own decision to clear the French champions of breaking Financial Fair Play (FFP) rules.
Coach Laurent Blanc will leave French Ligue 1 champions Paris St Germain by the end of the week, despite signing a two-year contract extension in February, his agent Jean Pierre Bernes said on Monday.
Images from Sunday's action in La Liga and Ligue 1.
With some clubs having played 27 games and others 28, the LFP drew the standings according to a performance index - the number of points per game weighed by head-to-head record.
PSG made hard work of beating Strasbourg 4-2 in the French Ligue 1, while Real Madrid registered a comfortable 4-1 win away to Alaves in their opening game.
IMAGES from football matches played across Europe on Wednesday.
The French champions blew a 2-0 advantage in their last-16 second leg match against Manchester United in Paris on Wednesday, crashing out on away goals after being beaten 3-1 at the Parc des Princes.
Real Madrid midfielder Luka Modric came off the bench to net a stunning strike from the edge of the box late in the second half to secure a 1-0 home win over Sevilla on Sunday and stretch their lead at the top of La Liga to eight points.
Ronaleo netted his 14th league goal for Juve this season while PSG's winning streak was snapped by Monaco in a 3-3 draw. Here are images from the matches played on Sunday
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News of all that's transpired on and off the football field
After falling 2-0 down on the night, substitute Marcos Llorente struck twice in extra-time and Alvaro Morata added a late third to ensure a famous victory for Diego Simeone's side against a Liverpool team unbeaten in their last 25 home games in European competition.
Paris St Germain suffered their first defeat of the season when they were beaten 2-0 at Stade Rennais on Sunday to drop their first Ligue 1 points of the season.
A source close to Argentina's captain told Reuters that he received a formal offer to join Saudi Arabian club Al-Hilal next season, with a contract renewal at PSG not on the cards for the World Cup winner who turns 36 next month.
Spain's La Liga on Thursday rejected payment of a record-breaking release clause that would allow Neymar to leave Barcelona for Paris St Germain, a source from the national soccer league said.
A round-up of Wednesday's action in the UEFA Champions League.
Loic Perrin's rough tackle in the 26th put Kylian Mbappe out of the game.
Several players across the continent are poised to make a name for themselves on the international stage.
The Qatari-owned PSG paid 222 million euros ($263 million) to take the Brazil striker from Barcelona to the French capital in a move that also appears to make little sense for the player from a footballing perspective.
Lionel Messi dragged a nervous Barcelona to a 1-0 win at home to Levante in La Liga, while Cristiano Ronaldo converted two late penalties on his 100th appearance for Juventus in all competitions as the Serie A titleholders ground out a 3-1 win away to a dogged Genoa side.
Three Paris St Germain players have tested positive for COVID-19, the Ligue 1 club said on Wednesday without revealing their identities.
Paris St Germain's second-string side were held to a 4-4 draw at struggling Amiens after erasing a three-goal deficit only to concede a stoppage time-equaliser in Ligue 1 on Saturday. The result left PSG 13 points clear of second-placed Olympique de Marseille after manager Thomas Tuchel rested several regular starters ahead of Tuesday's first leg of their Champions League last-16 clash with Borussia Dortmund.
Juve forward Cristiano Ronaldo had an unusually quiet game after scoring a hat-trick against Atletico in last year's competition, although he came within inches of grabbing a last-gasp winner when he sent a shot just past the far post.
Paris St-Germain's Brazilian forward Neymar suffered a fractured metatarsal and a sprained ankle during Sunday's Ligue 1 win over their arch-rivals Olympique de Marseille.
Manchester United pull off one of the greatest comebacks in Champions League history.
PSG have never reached the semi-finals of the Champions League
Images from the football matches played across Europe on Wednesday.