LONDON, Nov. 24 -- Liverpool remained unstoppable, Manchester City returned to winning ways at home to Chelsea while Jose Mourinho was back with a win in the weekend's Premier League games in England.
Liverpool were without the injured Mohamed Salah, but still had Sadio Mane and Roberto Firmino available and they were decisive as Crystal Palace went close to costing Jurgen Klopp's side two points.
The home side had a goal ruled out in the first half before Mane put Liverpool ahead two minutes after the break.
Wilfred Zaha looked to have saved a point for Palace with just 8 minutes remaining, but Firmino was on hand five minutes from time to maintain Liverpool's triumphant start to the season.
Manchester City suffered a painful defeat in Anfield two week ago which saw Pep Guardiola's side drop to fourth in the table, but they bounced back with a thrilling win at home to Chelsea.
The game was fast and open and perhaps showed up the defensive flaws which could ultimately cost both sides this season. N'Golo Kante put Chelsea ahead in the 21st minute, but City reacted through Kevin de Bruyne and Riyah Mahrez whose 37th minute goal was the last of the game, although Sergio Aguero later rattled the upright for City.
The other big story of the day was Jose Mourinho's return to football and the Portuguese coach was back with three points as Tottenham secured their first away win with a 3-2 win over West Ham.
The final score makes the game seem closer than it actually was, as Tottenham led 3-0 by the 49th minute as the impressive Heung-Min Song, Lucas Moura and Harry Kane made the points safe against a rival that has now taken just two points from a possible 21 to leave coach Manuel Pellegrini looking over his shoulder.
Arsenal's Unai Emery must feel the walls closing in around him as his side were held to a 2-2 draw at home to Southampton.
Southampton started the game second from bottom but twice led through Danny Ings and James Ward Prowse and only two strikes from Alexander Lacazette (the second of which came in the 96th minute) gave Arsenal a point they barely deserved.
Everton's Marco Silva is also in danger of the sack after goals from Todd Cantwell and Denis Srbeny gave Norwich (who had kicked off bottom of the table) their first away win of the season in Goodison Park.
Norwich's win took them above Watford, whose improvement under Quique Sanchez Flores hit a brick wall as they lost 3-0 at home to Burnley who took the points with second half goals from Chris Wood, Ashley Barnes and James Tarkowski.
There were two second half goals in Brighton as James Vardy and Ayoze Perez rewarded another impressive display to keep Leicester City second, while Wolves continue with their quiet improvement with a 2-1 win in Bournemouth.
Joao Moutinho and Raul Jimenez had already put Wolves 2-0 up before Simon Francis red card for Bournemouth made the visitors' task of extending their unbeaten run to 8 games even easier.
Sunday ended with perhaps the most entertaining match of the weekend as Sheffield United and Manchester United shared six goals at Bramall Lane. John Flack and Lys Mousett put Sheffield 2-0 up with goals after 19 and 52 minutes only for Manchester United to bounce back with three goals in seven minutes as Brandon Williams, Mason Greenwood and Marcos Rashford put them ahead with goals between the 72nd and 79th minute.
The points looked as if they would go back to Manchester but Ollie McBurnie volleyed past David de Gea in the last minute to assure the a share of the points.
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