Liverpool needed a late own-goal to salvage a 1-1 draw with Sunderland at Anfield, whilst Chelsea suffered a shock 3-1 defeat to relegation-battling Leeds United.
Chelsea captain Reece James reckons his "dominant" side made a statement in holding Premier League leaders Arsenal to a 1-1 draw despite losing Moises Caicedo to a first-half red card.
Despite a red card for Chelsea midfielder Moises Caicedo, the Blues took the lead thanks to Trevoh Chalobah.
Cole Palmer is fit for Chelsea's top-of-the-table clash with Arsenal in the Premier League on Sunday after recovering from a broken toe sooner than expected.
Liverpool have suffered six defeats in their past seven league games, with few signs that Arne Slot is getting a grip on the situation.
Arsenal thumped Bayern Munich 3-1 in a clash of the English and German league leaders on Wednesday to maintain their perfect record in the Champions League this season.
Arsenal vs Bayern Munich Live Streaming UEFA Champions League Live Telecast: When And Where To Watch
It will be a battle between the top two teams in the Champions League when Bayern Munich visits Arsenal on Wednesday.
Eberechi Eze completed his first senior hat trick, and the first by an Arsenal player against Tottenham Hotspur since 1978.
Liverpool's Premier League title defense lurched deeper into crisis Saturday losing 3-0 at home to Nottingham Forest. Manchester City's challenge was also hit by a 2-1 loss at Newcastle.
Gabriel Magalhaes will miss "weeks" of action after picking up an injury during international duty, Arsenal manager Mikel Arteta confirmed on Friday.
Arsenal are expected to be without defensive lynchpin Gabriel Magalhaes when they host London rivals Tottenham Hotspur on Sunday.
Three months in and it has already been a season of extreme highs and lows for Liverpool. A run of five straight wins to start the Premier League title defense.
Arsenal are eighth in the 18-team table with six points, having alternated wins and losses in their first four games.
Arsenal's 10-game winning run in all competitions was ended by Brian Brobbey's stoppage-time equaliser that salvaged a 2-2 draw for Sunderland on Saturday.
Table-toppers Arsenal face former Granit Xhaka as they travel to high-flying Sunderland in the Premier League.
Arsenal manager Mikel Arteta has confirmed Viktor Gyokeres will miss Tuesday's Champions League clash away to Slavia Prague after he became the latest Gunners' forward to be sidelined by injury.
Mohamed Salah's 250th Liverpool goal ended the Premier League champions' losing streak in a 2-0 win against Aston Villa, while leaders Arsenal beat Burnley to surge seven points clear on Saturday.