Manchester United booked their place in the Champions League last 16 as Cristiano Ronaldo scored in a 2-0 victory at Villarreal on Tuesday, while holders Chelsea also reached the knockout phase by thumping Juventus.
Three-time European champions United went into their first game since sacking Ole Gunnar Solskjaer at the weekend needing a win to confirm a top-two finish in Group F.
But they were under massive pressure as defeat would have left their fate out of their own hands.
David de Gea made two crucial saves and United, with Michael Carrick in caretaker charge, took advantage through Ronaldo's 78th-minute lob.
Jadon Sancho, so often a peripheral figure since his big-money move from Borussia Dortmund in the close-season, capped a fine individual display with his first goal for the club late on.
"It's not an important result for me personally. It's an important one for the players and the club," said Carrick.
Ronaldo's goal was the 799th of his career, his 140th in the Champions League and his sixth in the competition this season.
The other qualification spot in the group remains up for grabs after Young Boys and Atalanta played out a thrilling 3-3 draw in Bern.
Late goals from Vincent Sierro and Silvan Hefti gave the Swiss champions a 3-2 lead, but Luis Muriel struck in the 88th minute for the visitors.
Atalanta face a winner-takes-all match against Villarreal in Bergamo next month.
Chelsea romped into the last 16 and to the top of Group H with an impressive 4-0 thrashing of Juventus at Stamford Bridge.
Thomas Tuchel's men knew that qualification would be secured if they could avoid defeat or if Zenit Saint Petersburg failed to beat Malmo.
The Blues dominated the early stages and took the lead through young defender Trevoh Chalobah's third goal of the season.
Chelsea's defenders were consistently a menace from set-pieces, and Thiago Silva saw a header saved by Wojciech Szczesny early in the second period.
It was a defender who doubled Chelsea's lead in the 56th minute.
England right-back Reece James hammered a fine volley into the bottom corner to net for the fifth time already this term.
Chelsea grabbed their third goal less than two minutes later, Ruben Loftus-Cheek prodding the ball to Hudson-Odoi, who smashed home from close range.
There was still time for Timo Werner, making his first appearance since an injury layoff, to come off the bench and score in added time.
"We did really well, it is so tough to score goals against Juventus and we created so much," said Tuchel. "Full credit for an amazing performance and a fantastic result."
Zenit drew 1-1 with Malmo to secure a spot in the Europa League knockouts.
Barcelona were held to a goalless draw by Benfica at the Camp Nou in Xavi's second game as coach, but remain above the Portuguese side in Group E.
However, the Catalan club will have to beat Bayern Munich in Germany in their final group game to be sure of making the next round.
Benfica host already-eliminated Dynamo Kiev in their last match, trailing Barca by two points.
Barcelona endured a nervy first half which saw Gavi waste the only clear opportunity, blazing over from close range when Memphis Depay was waiting in the middle for a tap-in.
Xavi's men improved after the interval, though, with Frenkie de Jong's header forcing Benfica 'keeper Odysseas Vlachodimos into a flying save.
But it was Benfica who almost took a huge step towards the last 16 deep into injury time, only for Haris Seferovic to shoot wide when he should have scored.
"We played well but there's a bitter aftertaste because we were here to win tonight," Barca defender Ronald Araujo told uefa.com. "In front of our fans, our people -- and now we simply must go and win in Munich."
The other game in Group E saw Bayern Munich wrap up top spot with a 2-1 victory at Dynamo Kiev.
Robert Lewandowski lit up a snowy evening in the Ukrainian capital by scoring a magnificent overhead kick, with Kingsley Coman also on the scoresheet for the six-time winners.
In Group G, Lille made Salzburg wait to reach the last 16 as Jonathan David scored a first-half winner in a 1-0 victory in France.
All four teams in the group can still go through, after Sevilla saw off Wolfsburg 2-0. (AFP)