Harry Kane’s late brace earned Bayern Munich a spot in the last 16 of the Champions League after beating Galatasaray 2-1.
A frustrating first half saw Bayern have the better chances, with Kane and Leroy Sane testing Fernando Muslera, but Galatasaray began to grow into the game after the break and had a goal ruled out for offside.
The hosts earned their reward with Kane scoring twice in the final 10 minutes and they saw out the victory despite Cedric Bakambu’s stoppage-time strike.
Bayern progress to the knock-out stages having won all four of their matches in Group A so far, while defeat leaves Galatasaray third in the table.
Bayern had chances early on when Sane cut inside and had his attempted cross deflected out for a corner before Kane fired from outside of the box, but Muslera did well to tip the powerful strike over the crossbar.
The goalkeeper was called into action again, smothering Sane’s effort in a one-on-one and another Bayern attack saw the winger slice the ball wide.
A good move on the right flank saw Kingsley Coman cut inside to find Jamal Musiala, but his shot just whistled past the bottom left corner. Sane came close again, but was denied following pressure from Sacha Boey.
Bayern were forced into an early change when Musiala was taken off in the 40th minute through injury, with Thomas Muller coming on to replace him, before a rare break forward just before half-time resulted in Mauro Icardi being denied by Manuel Neuer.
The hosts had a great chance to take the lead seven minutes into the second half when a great cross from Coman was deflected by Leon Goretzka and Kane came flying in at the far post, but smashed the ball off the woodwork.
Substitute Baris Alper Yilmaz came close with his header going over the bar and the visitors had the ball in the net after Lucas Torreira poked home, but the goal was ruled offside.
Kane eventually broke the deadlock in the 80th minute after a great free-kick from Kimmich picked out the England captain, who rose highest to nod the ball home and despite initially being ruled out for offside, the goal stood following a VAR check.
He earned his second six minutes later after a brilliant move saw Muller thread the ball to Mathys Tel on the left and his low pass across goal allowed Kane to slot home his 19th Bayern goal on just his 15th club appearance.
Bayern nearly added a third when a neat ball from Serge Gnabry found Muller, but his shot trickled past a post.
The visitors pulled one back three minutes into stoppage time after an excellent pass from Sergio Oliveira picked out Bakambu, who made a great run cutting into the right and fired the ball into the bottom corner.
'I always win things in my second year' - Postecoglou insists Tottenham can win trophies
A defiant Ange Postecoglou believes Tottenham have enough to win trophies this campaign as he "always wins things in his second year".
Gabriel Magalhaes scored the decisive goal for the Gunners in the 64th minute, profiting from some slack defending on a corner as he thumped in the winner.
Spurs had the better chances, especially in the first half, finishing the game with 15 shots overall, more than double what Arsenal managed (seven).
The hosts also dominated possession with 63.7% and entered the final third 62 times, but as they did against Leicester City on the opening day, they struggled to take their chances.
Asked if he thought his team had enough to challenge for silverware this season, Postecoglou told Sky Sports: "I don't usually win things, I always win things in my second year," he told Sky Sports. "Nothing's changed. I don't say things unless I believe it."
Postecoglou has failed to beat Arsenal in three Premier League attempts and was left to lament their lack of a clinical edge after the match.
"It's very disappointing in a big game for us and our supporters. We didn't deliver so you have to take the pain from that," he added.
"It has been the story of our season so far, we played in their half and created chances, but we lack a bit of belief in the final third. That's what we need to fix. It was always going to be decided in moments, and they capitalised on theirs.
"It's me who has to give the guys the way forward. It's not for a lack of trying by the lads, we are just going through this early part of the season where we are playing well but not getting rewards for it.
"We handled set-pieces pretty well, but we switched off for one and paid the price."
Son Heung-min made his 19th Premier League appearance in the North London derby, with only Sol Campbell (22) playing in more among outfield players.
The Spurs captain struggled to make an impact though, worth just 0.04 expected goals (xG), and he echoed Postecoglou's frustrations.
"We dominated the game; the football was there, we just conceded from a set-piece again. We did it last season, and it is really frustrating," Son said.
"I am sure the fans are also very disappointed. We have to improve, 100%. It's a tough moment and we have to stick together.
"We are getting into the final third, but the players have to take the responsibility to score. It is the hardest part of football, making the right decision and being clinical.
"We will bounce back strong, there is a long way to go."
Arteta delighted after Arsenal 'go over hurdles' to win North London derby
Arsenal manager Mikel Arteta was beaming with the work rate put in by his side following their 1-0 victory away to rivals Tottenham in the Premier League on Sunday.
Defender Gabriel Magalhaes scored the decisive goal, heading home from a corner in the second half, to leave the Gunners second in the Premier League table.
Spurs enjoyed the better start of the two, creating plenty of openings in the early part of the first half, but were unable to take advantage.
Arsenal had fewer shots than Spurs (seven to 15) but were more clinical than their hosts.
"They are a great side and create an unbelievable atmosphere," said Arteta of their opponents while talking to Sky Sports.
"We knew it would be tough. We believed we could hurt them, we weren't the best with the ball today.
"The way we defended was top drawer. We want to play a different game, but they put a structure that is extremely difficult to match up, so we decided not to do that."
Three of Arsenal's last four Premier League goals against Spurs have come from corners, compared to just three in their previous 88 such matches beforehand.
"We just work on heading the ball, having the right delivery and winning the ball," Arteta added.
"It is about the right timing. Over the season, the team has to go over hurdles, so I am delighted."
Arsenal's players echoed their manager's happiness, with stand-in captain Jorginho highlighting how the team spirit helped them over the line.
"We had to work really hard, as you saw, we knew it was going to be a difficult game," he told Sky Sports.
"On these days you have to work, and we know we can count on each other as teammates.
"At the end, it paid off, and we are so happy that we won. We had key players missing, but we are a total team, the whole squad. We know that whoever comes on will be ready to help the team. We are really proud of the team."
Arsenal's victory over their rivals was the first time since 1988 that they have won three in a row at Tottenham, and that significance was not lost on the players.
"We did it three times in a row now, and you felt the excitement in the dressing room after the game," Jurrien Timber said to BBC Match of the Day.
"You know how bad the fans want to win this game, but it's the same for every game. You prepare for every game the same way, but it felt really nice winning this one.
"I am really, really enjoying it even with all these games coming up. The feeling of being fit is an amazing feeling.
"It's a true honour. We showed up today and credit to everyone who came in."
Portsmouth 0-3 West Brom: Baggies go top by routing Pompey
West Brom went top of the early-season Championship table with a comfortable 3-0 win at Portsmouth on Sunday, with Alex Mowatt scoring twice.
Mowatt struck twice in the second half after Josh Maja had given Carlos Corberan's men an early lead at Fratton Park, as Portsmouth's wait for a first win of the season continued.
Maja needed just 54 seconds to put Albion ahead, slamming home for his fifth goal of the season after Tom Fellows got to the byline to cut it back.
The visitors started the second half almost as quickly as they began the first, doubling their lead on 51 minutes as Mowatt curled home left-footed following fine combination play from John Swift and Karlan Grant.
If Mowatt's first goal was good, his second was outstanding as he capped the result in stoppage time, whipping a free-kick into the top-right corner to give Norris no chance.
West Brom's fourth win of the season sees them move one point clear of Sunderland at the summit, while Portsmouth slip to 23rd, only taking three points since their promotion from League One.
Data Debrief: Maja out on his own
Maja's fifth goal of the season took him one clear at the top of the Championship's scoring charts, ahead of Blackburn Rovers' Yulo Ohashi, Oxford United's Mark Harris and Millwall's Duncan Watmore (all four).
Maja was certainly busy on Sunday, attempting more shots (six) and accumulating more expected goals (1.03 xG) than anyone else on the pitch, while also laying on one chance.
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