Carlo Ancelotti's side were then reduced to 10 men in the 79th minute when Vinicius Jr was shown a straight red card for slapping Valencia goalkeeper Stole Dimitrievski.
Atletico Madrid's faint hopes of chasing down runaway Liga leaders Barcelona suffered a fresh blow on Saturday as they were held to a 1-1 draw at home to Girona, meaning they could fall 11 points behind the Catalans by the end of the weekend.
United were unable to create enough quality opportunities to get themselves the goal they needed.
While Real Madrid plot to clinch European Cup number 10, neighbours Atletico will look to thwart those plans.
Atletico Madrid failed to build on Wednesday's notable Champions League success against Juventus when they were beaten 3-1 at a resurgent Valencia in La Liga on Saturday.
Defender Filipe Luis has rejoined Atletico Madrid from Chelsea in a reported 16 million euro ($17.66 million) deal, the Spanish club said.
Both managers have struggled in the Champions League this season, with PSG on seven points and 25th in the standings, one place outside the knockout phase playoff zone, while City are one point ahead in 22nd.
The game, postponed from the start of the season, offered Atletico the chance to peel further away from nearest challengers Real Madrid but a second draw in three games only moved them on to 55 points.
Atletico Madrid are not seeking revenge for their 2014 Champions League final defeat but instead want to write a new chapter in the club's history with their first European Cup after getting past Bayern Munich.
Coach Diego Simeone goes home 'content' after his team's 1-0 loss in their Champions League match on Wednesday
Atletico Madrid striker Mario Mandzukic's early goal secured a 1-0 win over Real Madrid and a 2-1 aggregate success to clinch the Spanish Super Cup and gain some revenge for last season's Champions League final defeat.
Real Madrid have avoided defeat in their last 41 LaLiga games, the second best streak by a team in the competition's history.
The Spanish Football Federation (RFEF) and LaLiga have taken steps to tackle an increase in racist abuse with measures including partial stadium closures.
The travel ban was extended on Tuesday until March 2.
A breathtaking individual goal from Saul Niguez put Atletico Madrid in the box seat in their Champions League semi-final against Bayern Munich with a 1-0 victory in a tense first leg on Wednesday.
Real Madrid forward Vinicius Jr scored a hat-trick to help the LaLiga champions snap a two-game winless run in all competitions.
Atletico Madrid goalkeeper Jan Oblak was the hero as the Spanish side reached the UEFA Champions League quarter-finals for the fourth year in a row after drawing 0-0 with Bayer Leverkusen in an open last-16 second leg.
Luis Suarez and Lionel Messi scored stunning goals to edge Barcelona towards a fourth consecutive King's Cup final with a 2-1 win at Atletico Madrid on Wednesday, although the holders were lucky to survive a late onslaught from the hosts.
Chelsea have signed Spain World Cup striker Diego Costa from Atletico Madrid, the Stamford Bridge club said in a statement on Tuesday.
Atletico said they are collaborating with authorities to identify the abusers who would be banned by the club. The Prosecutor's Office of Madrid is also investigating the case.
Barcelona closed to within a point of La Liga leaders Real Madrid when Lionel Messi scored one goal, created two and conceded a penalty in a 3-1 win at home to champions Atletico Madrid on Sunday that eased pressure on under-fire coach Luis Enrique.
Champions Barcelona reclaimed top spot in La Liga on Sunday by overcoming a dogged Villarreal side to win 2-0 at home with goals from stalwart defender Gerard Pique and youngster Carles Alena taking them above Sevilla.
Fernando Torres's head injury shocked his Atletico Madrid team mates as the striker had to be carried off on a stretcher towards the end of Thursday's 1-1 draw at Deportivo La Coruna.
Atletico Madrid secured a place in the Champions League qualifiers on Sunday after a goal from Diego Forlan earned them a 1-0 win over Deportivo Coruna and ensured they could finish no lower than fourth in the table. Atletico are now level on 64 points with Barca, but are in fourth because the Catalans have a better record in head-to-heads.
Chelsea forward Samuel Eto'o is out of Tuesday's Champions League semi-final first leg at Atletico Madrid because of injury.
Atletico Madrid stayed hot on the heels of second-placed city neighbours Real Madrid when Radamel Falcao netted his 25th goal of the La Liga campaign in a scrappy 1-0 win at mid-table Sevilla on Sunday.
In the dying minutes of their Champions League semi-final second leg against Real Madrid, a thunderstorm rolled in and drenched Atletico Madrid's Vicente Calderon stadium.
Atletico Madrid right back Juanfran has thanked fans for the support he received following his penalty shootout miss in Saturday's Champions League final defeat by Real Madrid. The defender's effort rebounded off the post before Cristiano Ronaldo scored the winning spot kick to hand Real their 11th European Cup in Milan. Spain international Juanfran was in tears and did not speak to the media after the match but on Monday he wrote a letter on the club's official website. "I will never forget your displays of affection when I came to ask for your forgiveness," he said. "Seeing my tears reflected in the faces of the thousands of Atleticos that packed that end of the stadium helped me cope with the tremendous sadness I felt in those hard times."
'The most worrying fact is that young people are becoming less and less interested in football. The current competitions, as designed today, do not attract spectators' interest, except in the final stage.'
Atletico aim for Champions League revenge against Real at fourth attempt.
La Liga is set for one of its most thrilling finishes when Barcelona host leaders Atletico Madrid in a winner-takes-all showdown at the Nou Camp on the final day of the campaign on Saturday.
Atletico Madrid have signed striker Luis Suarez from Barcelona, the Spanish clubs said on Wednesday, bringing to an end his six-year stint at the Camp Nou.
A first half Tiago header set up Atletico Madrid's 2-0 victory over Espanyol as they seek to get back on track following a stuttering start to the La Liga season.
Adrian came off the bench to fire second-placed Atletico Madrid to a 1-0 La Liga home win over Celta Vigo on Friday and secure a ninth victory in nine matches this season at their Calderon stadium.
Atletico Madrid tore apart city rivals Real Madrid 4-0 at home to open up the La Liga title race on Saturday in a triumph crowned by a spectacular overhead kick goal by Saul Niguez.
Koopmeiners leads Atalanta past Milan into Coppa semis
Cristiano Ronaldo struck midway through the first half as leaders Real Madrid won 1-0 at Malaga in La Liga on Saturday, while Atletico Madrid stayed hot on their heels after Diego Costa netted in a 1-0 victory over Espanyol.
Villarreal and Atletico Madrid continued to struggle in La Liga after both slumped to unexpected defeats on Sunday.
Barcelona and Atletico Madrid dropped their first points of the season on Saturday, missing the chance to equal the record for the best-ever La Liga start.