Bayern Munich fired four first-half goals past promoted VfL Bochum on their way to thrashing the visitors 7-0, with Joshua Kimmich scoring twice and Robert Lewandowski again on target as they took the top spot in the Bundesliga on Saturday.

The Bavarians, who lead on 13 points from five games a point ahead of VfL Wolfsburg, who play on Sunday, killed off the game in the first half and never took their foot off the gas in Bochum's heaviest defeat ever in the Bundesliga.

"I am very satisfied with both the result and our attitude," said Bayern coach Julian Nagelsmann.

"We had some problems in the opening minutes and Bochum had a couple of situations. But we recovered really well. We had good structure, made good attacking moves and created many chances."

Inter Milan bounced back from midweek Champions League disappointment on Saturday with a 6-1 hammering of Bologna which moved the reigning champions top of Serie A.

Simone Inzaghi's side were sucker-punched in the last minute by Real Madrid in Wednesday's single-goal defeat but made no mistake this time at the San Siro.

They are a point ahead of Roma, AC Milan, Napoli and Fiorentina following a thumping win which came thanks to goals from Lautaro Martinez, Milan Skriniar, Nicolo Barella, and Matias Vecino and a brace from Edin Dzeko.

Bologna sit eighth on seven points after their first defeat of the season, made no better by Arthur Theate's late consolation goal.

"I was worried about this match because after a game like the one with Madrid, in which we definitely deserved more, there was a bit of worry (for the reaction)," said Inzaghi to DAZN.

"But the boys approached the game in the best way possible."

Jurgen Klopp saluted Sadio Mane after the Senegal star's 100th Liverpool goal inspired a 3-0 win against Crystal Palace that sent his side top of the Premier League on Saturday.

Mane's milestone strike came in his 224th appearance for the Reds, breaking Palace's rearguard action late in the first half at Anfield.

Egypt forward Mohamed Salah and Guinea midfielder Naby Keita netted in the second half to move Klopp's team three points clear of second-placed Manchester City.

"People forget around these 100 goals he worked incredibly hard, defended for us, pressed high, counter-pressed, created goals, set up chances, so the 100 goals are just one, there are so many numbers that are important," Klopp said.

"I am really happy for him he could reach it, a massive achievement in the glorious history of this club that only 18 players scored 100 goals. Nowadays, players are not normally as long at clubs, so I am really happy I could work so long with him."

Defending champions Manchester City dropped two points at home to Southampton after a 0-0 stalemate while struggling Wolves lost their fourth match in five against 10-man Brentford.

Martin Odegaard scored his first goal since his permanent switch to Arsenal on Saturday.

Odegaard, who signed from Real Madrid last month after spending part of last season at the Emirates on loan, broke the deadlock in the 30th minute, curling home a free kick to give the visitors a 1-0 lead at Turf Moor.

Arsenal breathed a sigh of relief when VAR overturned a penalty awarded to Burnley in the second half after Matej Vydra tumbled to the turf following a challenge by goalkeeper Aaron Ramsdale.

Arsenal were rock bottom of the table before last week's fixtures but wins against Norwich and now Burnley lifted them to the relative comfort of 12th spot before the late kick-off between Aston Villa and Everton.

(With input from agencies)