This was not a dominant demolition of the kind Bayern produced against Leipzig last week, but it was an encouraging display regardless as they dealt with Augsburg's attempts to come from behind. A slow start gained momentum when they took the lead through Serge Gnabry, who headed home after a great delivery from England captain Harry Kane. Diaz then slotted in Bayern's second on the stroke of half-time to make the task more difficult for Augsburg, prodding in from close range after Konrad Laimer dragged the ball back inside the box. Augsburg would have emerged from the break feeling as if they could have made an impact after promising chances in the first half, but their hopes soon took another blow when Michael Olise sent an effort past Finn Dahmen to make it three. The hosts were undeterred, though, and Kristijan Jakic pulled one back when he volleyed past Manuel Neuer to make it 3-1. Mert Komur then expertly tucked one through two sets of legs to ignite a fightback and put Augsburg within one goal of levelling. Bayern, though, manage to stymie any further Augsburg attempts - and realistically should have extended their lead - to earn the three points. Elsewhere, former Manchester United manager Erik ten Hag's tough start as Bayer Leverkusen boss continued as his side let their lead collapse to a draw with 10-man Werder Bremen. Leverkusen led 3-0 but the hosts stunned their visitors with goals from Romano Schmid, Isaac Schmidt and Karim Coulibaly.

Winless Mallorca led when Vedat Muriqi bundled in from Pablo Torre's corner. But Madrid were level when Arda Guler nodded in from Dean Huijsen's knockdown. And Vinicius Jr's fine solo goal gave Xabi Alonso's side the victory. Madrid had three goals disallowed - two for Kylian Mbappe, both for offside, and one for Guler for handball. Trent Alexander-Arnold was back in the starting line-up after being left out last weekend and was lively, setting up Mbappe's first disallowed goal at 0-0.

United's continuing goalkeeping woes looked set to cost them three points after another blunder from Altay Bayindir gifted Jaidon Anthony a second equaliser of the day for the Clarets. But Anthony went from hero to villain for Scott Parker's men as the contest entered stoppage time. Trying to halt Amad's run into the penalty area, Anthony grabbed the Ivorian's shirt. At first the contact was outside the box, but it continued as Amad ran into it. Although referee Sam Barrott initially waved away the penalty claims, video assistant referee (VAR) Stuart Attwell asked for the official to review his decision. It took Barrott four minutes to give the penalty, announce his decision to the crowd and clear the penalty area of Burnley players. Fernandes - who missed from the spot at Fulham six days earlier - kept his cool before taking a deep breath and finding the bottom corner.

The 21-year-old has signed a long-term deal at Stamford Bridge that runs through to 2032. "It's an incredible moment for my family and I to join this great club," Garnacho told Chelsea's club website. "I can't wait to get started. I watched the Club World Cup and to join the world champions is special – we're the best team in the world!" The forward becomes Chelsea's ninth arrival of the summer and fifth attacking addition after Joao Pedro, Liam Delap, Estevao and Jamie Gittens.

PSG were two goals ahead after just nine minutes when 20-year-old Portugal international Neves sent a stunning overhead kick into the top corner and Bradley Barcola tucked an effort past Guillaume Restes. Moments later Neves produced another acrobatic effort to add his side's third, controlling an Achraf Hakimi cross before powering past Restes. Toulouse's woes worsened when Ousmane Dembele slotted home from the penalty spot after Desire Doue was fouled inside the box. But the hosts tried to find a way back into the game, with Charlie Cresswell - who won the European Under-21 Championship with England - turning in a rebound from close range. Cristian Casseres saw two penalties saved, after PSG keeper Lucas Chevalier was penalised for being off his line for the first. The spot-kicks didn't stop there. After the restart Dembele was awarded another penalty when Barcola was fouled in the Toulouse box, and he scored. Neves completed a hat-trick with another expert finish in the 78th minute, this time unleashing a rocket into the top corner from the edge of the box. Two late goals in two minutes for Toulouse - a tap-in from Yann Gboho and an outside-the-box effort from Alexis Vossah - added further drama but were little more than consolation. PSG continue to top the Ligue 1 standings, having won each of their three games so far. There was excitement earlier on Saturday in France's top flight as Lille scored five after the 77th minute in their 7-1 rout of Lorient.