Manchester City recorded an emphatic 3-0 win over Manchester United, while Spurs thrashed West Ham by the same scoreline.
Elsewhere, Bournemouth picked up a hard-fought three points against Brighton as Arsenal handed Ange Postecoglou a debut defeat as Nottingham Forest manager.
Take a look at Flashscore's Premier League Team of the Week - based on our player ratings system.
Goalkeeper
Robin Roefs (Sunderland) - 8.0
For the second time already this season, Sunderland goalkeeper Roefs makes our Team of the Week.
The Dutchman played a pivotal role in the Black Cats' 0-0 draw at Crystal Palace by making six saves to help earn a valuable point for the newly promoted side.
Defenders
Kieran Trippier (Newcastle) - 8.1
Newcastle played out a 1-0 win over Wolves on Saturday, with Trippier putting in a solid performance for the Magpies.
The Englishman won both of his aerial duels in a reliable defensive showing, but particularly impressed going forward with an exceptional seven crosses completed and 20 accurate passes into the final third.
Micky van de Ven (Tottenham) - 8.0
Van de Ven got on the scoresheet in Spurs' victory at West Ham, firing a first-time effort into the bottom corner after good work from teammate Lucas Bergvall.
His defensive work was equally impressive when it needed to be, with four clearances and one tackle.
James Garner (Everton) - 8.1
Despite playing out of position at left-back, Garner stood out in Everton's 0-0 draw against Aston Villa.
Garner created two big chances and completed three accurate crosses - while also winning all six of his duels in a cagey affair at the Hill Dickinson Stadium.
Midfielders
Antoine Semenyo (Bournemouth) - 8.5
Semenyo played a starring role in Bournemouth's 2-1 win over Brighton, grabbing a goal and an assist against the Seagulls.
The Ghanaian first set up Alex Scott to open the scoring before finding the net himself with the winner, a penalty, midway through the second half.
Semenyo now leads the Premier League for goal involvements with five this season, alongside Erling Haaland.
Alex Scott (Bournemouth) - 8.2
Scott netted his first league goal since December 2023 to open the scoring against Brighton, blasting a powerful effort home from outside the penalty area.
The 20-year-old went on to have a huge influence on the game, with five passes into the final third and four tackles won.
Martin Zubimendi (Arsenal) - 8.3
Arsenal continued their strong start to the season with a 3-0 win over Nottingham Forest, with new signing Zubimendi shining at the Emirates.
The Spaniard scored twice, first with a stunning volley from outside the penalty area and then with a deft header to wrap up three points for the Gunners.
Lucas Bergvall (Tottenham) - 8.2
Another midfielder to excel over the weekend was Spurs' Bergvall, who registered a goal and an assist during his side's win against West Ham.
Bergvall converted with a clever header before turning provider after some neat footwork saw him set up Van de Ven to round out the scoring.
Jeremy Doku (Manchester City) - 8.5
Doku provided two assists in City's win over rivals Manchester United, first setting up Phil Foden and then Haaland early in the second half.
The winger was a constant threat throughout the match, making eight passes into the final third on top of attempting seven dribbles.
His defensive work was also important, with Doku winning six duels and making one interception.
Forwards
Nick Woltemade (Newcastle) - 8.3
Woltemade got off to the perfect start in his Newcastle career, netting the only goal of the game as the Magpies picked up their first win of the season against Wolves.
Standing at six feet six inches, the German powered a header into the top corner at St James' Park and remained a threat throughout the clash - having three shots, winning three aerial duels and making four passes into the final third.
Erling Haaland (Manchester City) - 8.6
Saving the best for last, Haaland is our Premier League Player of the Week after netting a brace in the Manchester derby.
The Norwegian first scored a clever chip from close range before putting the game to bed with a low, curling effort late in the match.
Haaland's performance earned an 8.6 Flashscore player rating, the highest of the weekend's fixtures.
