Liverpool, flawless in their Premier League title defence so far this season, will face a serious test when they visit unbeaten Crystal Palace on Saturday.
Aston Villa ended their winless run by beating Bologna 1-0 to open their Europa League campaign, while Rangers manager Russell Martin's job was placed into peril by a 1-0 home defeat to Genk on Thursday.
Eberechi Eze scored his first Arsenal goal as the Gunners beat Port Vale 2-0 to reach the League Cup fourth round, alongside Manchester City, Tottenham and Newcastle on Wednesday.
Antony's late goal denied Nottingham Forest a winning return to European football as Real Betis grabbed a 2-2 draw in their Europa League opener on Wednesday, while Roma won at Nice.
Alexander Isak scored his first Liverpool goal to inspire a 2-1 win against Southampton in the League Cup third round, while Chelsea survived a scare to beat third-tier Lincoln on Tuesday.
Unai Emery will hope a return to the Europa League this week serves as the spark plug that ignites Aston Villa's season, while Nottingham Forest embark on their first European campaign in 30 years.
Liverpool opened up a five-point Premier League lead thanks to Merseyside derby victory over Everton and a 1-1 draw between their title rivals Arsenal and Manchester City.
Manchester United beat Chelsea 2-1 in a chaotic match at Old Trafford on Saturday to earn vital breathing space for beleaguered manager Ruben Amorim as Liverpool stayed perfect in the Premier League.
Liverpool boss Arne Slot praised another show of mental strength that helped extend the champions' perfect Premier League start and maintain their stranglehold of the Merseyside derby with a 2-1 win over Everton on Saturday.
