Man United and Chelsea played out a goalless draw between themselves in an underwhelming headline fixture of the gameweek, while Man City were held by West Ham United and Arsenal lost at home to Leicester City.
Liverpool's result took them joint-top after Merseyside rivals Everton fell to their first defeat of the campaign at Southampton, while Aston Villa's 100% start also came to an emphatic end at home to Leeds United.
Here, Sports Mole selects its Premier League team of the week for gameweek six.
Chelsea's stalemate with Manchester United may have been something of a damp squib in the end, but Frank Lampard will have been pleased with the defensive improvement and it was goalkeeper Edouard Mendy who was most to thank for keeping that clean sheet intact.
The summer signing, who is yet to concede a goal in three games for his new club, made four saves to keep United at bay, including a flying one in the latter stages to deny the hosts a winner at Old Trafford.
Thiago Silva's leadership and defensive organisation was also evident as he made more passes than anyone else on the pitch, in addition to a game-high six clearances.
Liverpool's Trent Alexander-Arnold also made a game-high number of passes in the win over Sheffield United, and typically many of those were attacking ones. Indeed, he created more goalscoring chances than anyone else on the pitch, and that does not even count the 'assist' for Mohamed Salah's stunning disallowed goal.
Luke Ayling switched to centre-back due to something of an injury crisis at Leeds and showed great awareness to clear Jack Grealish's shot off the line, in addition to making more blocks than anyone else on the pitch.
Man City's performance against West Ham was far from their best and so they are perhaps fortunate to end up with two players in this XI, particularly as the Hammers themselves do not have any.
However, Joao Cancelo's assist for the equalising goal is enough to earn him a pretty much unchallenged run at left-back, while the scorer of that goal Phil Foden completely changed the game when he came on and won a point for his side with a really smart finish.
Palace's victory was largely down to the performance of Wilfried Zaha again, with the attacker creating the opening goal and then scoring the second himself - his fifth of the season already.
Southampton are the joint-best represented club in this week's team courtesy of their win over the league-leaders Everton, with James Ward-Prowse opening the scoring in that match with a firm finish following a slick one-two.
The other player involved in that one-two was Danny Ings, who also created the second goal from Che Adams to turn from goalscorer to provider.
Without doubt the standout individual performance of the gameweek was from Patrick Bamford, though, with the Leeds striker netting his first Premier League hat-trick - and a high-quality one at that - to continue his fine start to the season.