Jerome Boateng's first European goal for five years helped Bayern Munich extend their record run to 14 straight Champions League wins as they thrashed Salzburg despite trailing in Austria.
With the scores locked at 2-2, Boateng headed in a corner 11 minutes from time to restore the holders' lead.
Leroy Sane, Robert Lewandowski and Lucas Hernandez then added late goals to give Group A leaders Bayern a third successive win in this season's competition.
"It was a difficult game as expected, Salzburg played very well," Boateng told Sky.
"We had good and bad phases, especially in the second half, but in the end we got the win we deserved.
"We never give up - that's what sets us apart."
Sane later admitted "we had a harder time than the result suggests".
Mergim Berisha gave Salzburg an early lead, but Lewandowski, last season's top-scorer in the tournament, scored his first Champions League goal of the season before Salzburg defender Rasmus Kristensen headed into his own net just before the break.
Salzburg deservedly drew level midway through the second half when Japan midfielder Masaya Okugawa scored with his second touch after coming off the bench before Bayern roared back.
There was a minute's silence before kick-off in Salzburg to pay respect to the victims of Monday's terror attack in Vienna.
For the first time in more than a year, Bayern conceded the first goal in a Champions League match with just four minutes gone.
Berisha fired past Manuel Neuer after Sekou Koita's shot from outside the box took a deflection.
In pouring rain, Bayern knuckled down and looked to have won a penalty on 12 minutes when Hernandez went down in the area.
However, with Lewandowski waiting, VAR awarded a free-kick against Hernandez.
Some great footwork by Thomas Mueller on the edge of the area dazzled Salzburg winger Enock Mwepu, who clipped the Bayern forward's ankle.
Lewandowski stepped up to slot home the resulting spot-kick on 21 minutes.
Bayern took the lead just before half-time when Mueller put in a delivery across the face of goal and Kristensen watched in horror as his attempted clearing header flew into his own net.
The hosts kept plugging away and when Lewandowski lost possession in his own half midway through the second period, Salzburg counter-attacked quickly before Okugawa fired home an equaliser.
Bayern had a penalty appeal turned down moments later, as Serge Gnabry was booked for diving after the faintest of touches from Salzburg defender Maximilian Woeber.
The scene was set for Boateng to grab his first Champions League goal since April 2015 when he headed into the far corner to put Bayern 3-2 ahead.
The dam burst as Sane slotted home with seven minutes remaining, before Lewandowski headed his second from a Javi Martinez cross in the 88th minute.
Hernandez smashed in a sixth goal in injury time to round off a devastating closing spell from the defending champions.
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Farage on Muslim Brotherhood
Nigel Farage told Reform's annual conference that the party will proscribe the Muslim Brotherhood if he becomes Prime Minister.
"We will stop dangerous organisations with links to terrorism operating in our country," he said. "Quite why we've been so gutless about this – both Labour and Conservative – I don't know.
“All across the Middle East, countries have banned and proscribed the Muslim Brotherhood as a dangerous organisation. We will do the very same.”
It is 10 years since a ground-breaking report into the Muslim Brotherhood by Sir John Jenkins.
Among the former diplomat's findings was an assessment that “the use of extreme violence in the pursuit of the perfect Islamic society” has “never been institutionally disowned” by the movement.
The prime minister at the time, David Cameron, who commissioned the report, said membership or association with the Muslim Brotherhood was a "possible indicator of extremism" but it would not be banned.
Gully Boy
Director: Zoya Akhtar
Producer: Excel Entertainment & Tiger Baby
Cast: Ranveer Singh, Alia Bhatt, Kalki Koechlin, Siddhant Chaturvedi
Rating: 4/5 stars
GIANT REVIEW
Starring: Amir El-Masry, Pierce Brosnan
Director: Athale
Rating: 4/5
Awar Qalb
Director: Jamal Salem
Starring: Abdulla Zaid, Joma Ali, Neven Madi and Khadija Sleiman
Two stars
The bio
Date of Birth: April 25, 1993
Place of Birth: Dubai, UAE
Marital Status: Single
School: Al Sufouh in Jumeirah, Dubai
University: Emirates Airline National Cadet Programme and Hamdan University
Job Title: Pilot, First Officer
Number of hours flying in a Boeing 777: 1,200
Number of flights: Approximately 300
Hobbies: Exercising
Nicest destination: Milan, New Zealand, Seattle for shopping
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Favourite place to visit: Dubai, there’s no place like home
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Our family matters legal consultant
Name: Hassan Mohsen Elhais
Position: legal consultant with Al Rowaad Advocates and Legal Consultants.