Chelsea maintained their strong start to the campaign with a 2-0 win over Fulham, while Liverpool still have a 100% record after beating Arsenal 1-0.
Elsewhere, West Ham recorded their first win of the season in style after thrashing Nottingham Forest 3-0, and Everton continued their good form with a 3-2 triumph over Wolves.
Here's who makes our Premier League Team of the Week - based on Flashscore's player ratings:
Goalkeeper
Robin Roefs (Sunderland) - 7.5
Sunderland goalkeeper Robin Roefs has enjoyed a strong start to life on Wearside and continued with an exceptional performance in the club's 2-1 win over Brentford.
The Dutchman celebrated being called up to his national team with a penalty save against Kevin Schade, while also making two other saves and maintaining a 78% pass accuracy.
Defence
Dominik Szoboszlai (Liverpool) - 8.3
While naturally a midfielder, Dominik Szoboszlai operated at right-back in Liverpool's win over Arsenal and scored the decisive winning goal with a fantastic free-kick.
Szoboszlai cannoned an effort off the post and into the back of the net from over 30 yards out and helped out with a solid defensive showing - winning two tackles, making six clearances and one interception.
Trevoh Chalobah (Chelsea) - 8.2
Trevoh Chalobah excelled in Chelsea's 2-0 win against London rivals Fulham with a superb performance at the heart of the Blues' defence.
The Englishman won 12 duels alongside three tackles and four interceptions, and was equally impressive in possession with 52 out of 58 passes completed - seven of which went into the final third.
Marc Guehi (Crystal Palace) - 8.2
Crystal Palace captain Marc Guehi showed no sign of any transfer speculation affecting him during the Eagles' 3-0 win against Aston Villa - scoring a delightful effort midway through the second half.
The defender curled a stunning shot into the top corner from just outside the penalty area in what could have been a perfect farewell gift for the Palace faithful.
Midfield
Kiernan Dewsbury-Hall (Everton) - 8.2
The first of two Everton players to make our Team of the Week, Kiernan Dewsbury-Hall registered a goal and an assist in the Toffees' 3-2 win over Wolves.
Dewsbury-Hall showed signs of a blossoming partnership with fellow attackers Jack Grealish and Iliman Ndiaye, creating two big chances and completing 13 passes into the final third.
Bruno Fernandes (Manchester United) - 8.4
Bruno Fernandes netted a late penalty in Manchester United's 3-2 win over Burnley to ensure the Red Devils secured their first win of the season.
United's captain was dominant throughout the match and contested 16 duels, made four clearances and completed 70 of his 84 attempted passes - with everything going through the Portuguese international.
Enzo Fernandez (Chelsea) - 8.3
Enzo Fernandez netted from the spot in Chelsea's win over Fulham and also set up Joao Pedro's opener with a pinpoint delivery from a corner.
The Argentine proved crucial to the Blues' success against their West London rivals, delivering another top performance at Stamford Bridge.
Lucas Paqueta (West Ham) - 8.5
Despite speculation that his time at West Ham was coming to an end, Lucas Paqueta put in an exceptional showing in the Hammers' 3-0 win over Nottingham Forest.
Paqueta converted from the penalty spot to double his side's lead late in the game and celebrated by kissing the West Ham badge and tossing away an imaginary phone - signifying he will remain at the London Stadium.
Forwards
David Brooks (Bournemouth) - 8.1
David Brooks starred in Bournemouth's 1-0 win against high-flying Spurs on Saturday by creating two big chances and registering two shots on target.
His defensive contributions also stood out, with Brooks winning three tackles and five duels in a Player of the Match performance.
Joao Pedro (Chelsea) - 8.3
Joao Pedro continued his excellent start to life at Stamford Bridge with another goal in Chelsea's win against Fulham, heading home deep into first-half stoppage time to give his side the lead.
The Brazilian was a constant threat, having two shots on target and making nine passes into the final third as the Blues maintained their unbeaten start to the campaign
Jack Grealish (Everton) - 8.6
This week's standout performer was Everton winger Jack Grealish, who bagged two assists as the Toffees triumphed over Wolves.
The Manchester City loanee now leads the Premier League's assist charts with four and is clearly enjoying a new lease of life under David Moyes.
Greliash's 8.6 Flashscore rating was the highest across the division at the weekend - making him our Premier League Player of the Week.
