Liverpool claimed a convincing win over Tottenham while Manchester United held on at Watford and Crystal Palace's Wilfried Zaha complained about rough tackles.
Here, Press Association Sport looks at these and other talking points from the weekend's action in the Premier League.
Liverpool are living up to the hype
Liverpool's summer recruitment and flying start to the season have seen many tip them to launch a serious title challenge, but they still had to prove they are capable of living up to their billing. They did that this weekend with a convincing victory against Tottenham at Wembley – a fixture in which they were thrashed 4-1 last season. The Reds dominated from the outset and their 2-1 success flattered Spurs. Jurgen Klopp has addressed his side's weaknesses and maintained their attacking threat. There are big games against Manchester City and Chelsea in the next month but, with a 100 per cent record to date, confidence should be high.
Pochettino was right – Tottenham are off the pace
Spurs boss Mauricio Pochettino raised a few eyebrows at the end of last month when, just days after an impressive 3-0 win at Manchester United, he warned players they would have to improve. The Argentinian said he was disappointed with the first-half display at Old Trafford and feared they could "crash" if they got carried away with the result. It seems he had a point. They lost the next game to Watford and they were poor against Liverpool. Spurs could be suffering from having so many players involved in the World Cup's latter stages but they are certainly making more mistakes than would be expected.
Zaha believes he is being targeted by opponents
It will be interesting to see how referees treat Wilfried Zaha from now on after Crystal Palace's star man claimed after Saturday's win at Huddersfield that he is being singled out for aggressive treatment. Speaking of his frustration, Zaha told the BBC: "I feel like before anyone gets a red card I'd have to get my leg broken. Against Watford the guy stood on the back of my calf and still a yellow card. Why am I getting different treatment to other players? I don't understand it and it's every week, every referee."
Mourinho has not lost the dressing room
If Manchester United's win at Watford on Saturday is anything to go by, Jose Mourinho has not lost the dressing room. Speculation about the United manager's future may have been rife in recent weeks but the players are still fighting for him. The football may not have been pretty but the attitude was excellent, with United digging deep for their 2-1 success.
West Ham are finally up and running
It has been a tough start to life at West Ham for Manuel Pellegrini, and questions were even starting to be asked about the Chilean's future after four successive Premier League defeats. But his team delivered for him at Everton, producing a performance that made a mockery of their position at the bottom of the table. With home games against Chelsea and Manchester United coming up, it was a timely win.
