Aaron Ramsey led Arsenal past his former club with two goals in the English Premier League leaders' 3-0 victory over Cardiff City, while Everton easily beat Stoke City 4-0 and Newcastle United won their fourth consecutive match.
West Ham striker Carlton Cole and Everton midfielder Darron Gibson have both had their suspensions quashed after the pair were sent off in Saturday's Premier League match at Upton Park.
Liverpool fought from behind to beat West Ham 3-2 at Upton Park, with help from former Hammers Glen Johnson and Joe Cole.
Late goals by substitutes Mohamed Diame and Modibo Maiga gave West Ham United a 3-1 win over Chelsea in the Premier League.
Norwich City and West Ham United played out a goalless draw in the Premier League, leaving the former without a victory from their opening four games of the campaign.
West Ham United will be back in the Premier League next season after they won the Championship play-off final 2-1 against Blackpool to win promotion.