Paris Saint-Germain and Real Madrid had to settle for a share of the spoils as Group A's top two played out a 0-0 draw.
Each side came into Wednesday's match having collected six points from their first two group stage games, however, it was Real who dominated play to start.
Jese was played in by a precise Toni Kroos through ball in the 26th minute, but his low shot was well saved by PSG keeper Kevin Trapp.
A pair of Cristiano Ronaldo headers then began a barrage of chances for Real 10 minutes later, but Trapp was again up to the task and kept the scoreline even heading into half-time.
PSG took more initiative in the second period and created the first quality chance, but Edinson Cavani poked a Thiago Motta cross wide of Keylor Navas' near post from eight yards out.
Ronaldo came closest to opening Real's account in the 72nd minute, with his left-footed shot from just outside the six-yard box going inches wide after a sweeping counter by Los Blancos.
That was the best either team could muster, however, before the final whistle put an end to the proceedings.
Elsewhere in Group A, Malmo picked up their first points of the campaign with a 1-0 victory over Shakhtar Donetsk.
Shakhtar have lost all three matches, and may even struggle to progress into the Europa League by finishing third after a goal from Malmo striker Markus Rosenberg gave the hosts a win that should have been by a wider margin.
Rosenberg's goal came in the 17th minute, soon after Brazil international midfielder Bernard missed a chance for the visitors.
Kevin De Bruyne's last-minute strike secured a dramatic 2-1 victory for Manchester City against Sevilla.
A lively first half saw both sides create chances, with Wiflried Bony and Kevin De Bruyne going close for the hosts, while Grzegorz Krychowiak forced Joe Hart into a good stop.
But it was Sevilla who took the lead inside 30 minutes with Yevhen Konoplyanka firing first time past Hart after being teed up by Vitolo.
City, however, responded well and were level seven minutes later with Rami deflecting Bony's effort into this own net after Raheem Sterling's earlier strike had been saved.
The second half was a quieter affair, although the best chances appeared to have fallen to Sevilla, with Kevin Gameiro heading over from inside the box, before wasting another chance from close range shortly after.
However, with the game seemingly set for a draw, up popped De Bruyne in the game's closing moments to fire into the bottom corner and send the Etihad Stadium wild.
Also in Group D, Juventus dropped their first points of the campaign following a 0-0 draw with Borussia Monchengladbach.
The Italians, last season's beaten finalists, had the best chances of the game in the second half but Paul Pogba's attempts were met with fine saves from visiting goalkeeper Yann Sommer.
In Group B, Anthony Martial salvaged a point for Manchester United as his goal secured a 1-1 draw against CSKA Moscow.
United did not help their chances as they gifted CSKA an early penalty, although David De Gea got down low to deny Roman Eremenko.
Seydou Doumbia, however, was the quickest to react following the miss, pouncing and converting the rebound past the helpless De Gea.
It could have been 2-0 shortly after the 30-minute mark if not for the United keeper, who was on hand to pull off a fine stop to deny Ahmed Musa's long-range strike.
The English side struggled to create for much of the game but came to life after the hour-mark when Martial drew them level, heading Antonio Valencia's cross in off the post.
United then pushed for a winner for the remainder of the game, but were unable to find a way past Igor Akinfeev for a second time.
Second-half goals from Bas Dost and Max Kruse helped Wolfsburg to a 2-0 win over PSV Eindhoven.
Dost was quickest on the scene to fire home the rebound after Josuha Guilavogui's strike was saved by Jeroen Zoet, before Kruse doubled Wolfsburg's advantage with a well-taken header 10 minutes later.
In Group C, Atletico Madrid made light work of Astana with a 4-0 victory at the Vicente Calderon.
Saul Niguez found the back of the net with a clever back-heel to put the hosts on their way, before Jackson Martinez got on the scoresheet just a few minutes after he had seen a goal disallowed due to offside.
Oliver Torres made sure of the result with a third for Atletico, finding the back of the net after being played in by Gabi, with Denis Dedechko then firing into his own net late on to make it four.
Galatasaray came from behind to pull off a 2-1 victory against Benfica.
Benfica got off to a flying start as Nicolas Gaitan edged them ahead inside two minutes with a dinked finish.
Selcuk Inan soon equalised from the penalty spot, though, before Lukas Podolski completed the turnaround 15 minutes later.