Harry Wilson struck twice in stoppage time to give Fulham a dramatic 2-1 victory over west London rivals Brentford on Monday.
Manchester United eased the pressure on beleaguered boss Erik ten Hag as they fought back to beat Brentford 2-1, while Tottenham got back on track with a 4-1 rout of West Ham on Saturday.
Liverpool's perfect start under Arne Slot came to a stunning end as Nottingham Forest won 1-0, while Erling Haaland's double sent Manchester City three points clear at the top of the Premier League in a 2-1 win over Brentford.
Erling Haaland could become the first player in Premier League history to score three consecutive hattricks, as Manchester City face Brentford.
Arne Slot extended his perfect start as Liverpool manager with a 2-0 win against Brentford on his Anfield debut
Liverpool join Manchester City, Arsenal and Brighton as the only sides with maximum points from two games of the new Premier League season.
Bryan Mbeumo and Yoane Wissa got the goals for the Bees, who had left out England international Toney over speculation surrounding his future.
Fabio Carvalho has joined Brentford from Liverpool on a five-year contract, the London club announced Monday.
Luton's hopes of Premier League survival were hammered by Brentford's 5-1 rout at Kenilworth Road, while Burnley thrashed Sheffield United 4-1 to remain in the fight to stay up on Saturday.
Spurs have now come from behind to win in four of their last five home games and needed another second-half turnaround after Tahith Chong's strike put Luton into a shock lead after just three minutes.
Arsenal will now try to turn around a 1-0 deficit against Porto in the Champions League last 16 second leg, while their next Premier League game is at Manchester City on March 31.
Jarrod Bowen ended his goal drought with a hat-trick as West Ham beat struggling Brentford 4-2 to secure their first win in nine games on Monday.
Erling Haaland was keen to make amends for a frustrating night in front of goal as City were held 1-1 at home by Chelsea on Saturday.
Mohamed Salah returned with a goal as Premier League leaders Liverpool routed Brentford 4-1 despite a rash of injuries
Cole Palmer has shone with 12 goals and nine assists in 28 appearances, including a late equaliser when City were held 4-4 at Stamford Bridge in November.
Pep Guardiola said Phil Foden is enjoying his best season at Manchester City after the England international's hat-trick beat Brentford 3-1 on Monday
Liverpool sit two points clear of second placed Manchester City and can extend that gap to five points with a victory over Bournemouth on Sunday.
The future of Kylian Mbappe and his protracted courtship by Real Madrid is expected to be the key theme of the transfer window that opens in Europe on Monday