Police in riot gear struggled to contain West Ham fans at the end of the third round match at Stamford Bridge, which Chelsea won 1-0.
Sheffield United will sue West Ham United for the cost of relegation from the English Premier League last season, the Yorkshire club said on Thursday.
Liverpool went top of the Premier League on Monday after a goalless home draw with West Ham United.
The 27-year-old Wales captain signed a five-year deal.
Tottenham Hotspur missed a chance to move clear of relegation danger after Dominic Calvert-Lewin earned Leeds United a 1-1 Premier League draw in North London.
Liverpool's slim Premier League title hopes faded further on Saturday when Michail Antonio's late header earned West Ham United a deserved point with a 2-2 draw.
Crystal Palace claimed their first European trophy as Jean-Philippe Mateta's second-half goal secured a 1-0 victory over Rayo Vallecano in the final of the Conference League
Liverpool edged closer to Champions League qualification with a 3-1 victory over Crystal Palace at Anfield on Saturday, but the result came with a sour note as Mohamed Salah went off with a suspected hamstring injury.
Rangers joined Barca in the last eight despite losing 2-1 at Red Star Belgrade, progressing 3-2 on aggregate.
Liverpool cranked up the pressure on West Ham United manager Slaven Bilic with a 4-1 victory at the London Stadium, while Burnley's remarkable start to the Premier League season continued thanks to a 1-0 victory at Southampton on Saturday.
Images from the Premier League matches played on Sunday.
West Ham United have been chosen to take over the London 2012 Olympics stadium after fending off rival bidders Tottenham Hotspur, the BBC reported on Wednesday.
West Ham United have sacked Italian manager Gianfranco Zola, the Premier League club said on Tuesday.
Manchester United climbed to third place in their quest for a berth in next season's Champions League.
Gianfranco Zola, one of the greatest overseas players to grace the English game during his seven years at Chelsea, was named as the new manager of their Premier League rivals West Ham United on Thursday.
Gianfranco Zola was the darling of Stamford Bridge in his Chelsea days but the Italian has yet to win the hearts of West Ham United's faithful. Zola's transformation from midfield magician to coach has been a tough one, and on Sunday his relegation-threatened West Ham host Premier League leaders Chelsea in front of an Upton Park crowd rapidly losing confidence in his managerial ability.
A howler by Manchester United goalkeeper David De Gea gifted West Ham United three vital points in their battle against relegation as the hosts secured a 1-0 Premier League win.
They were charged following crowd trouble during their League Cup tie at Stamford Bridge.
Napoli kept alive their hopes of advancing from Group C after Lorenzo Insigne, Victor Osimhen and Matteo Politano secured a 3-0 home win over Legia Warsaw.
West Ham United manager Alan Pardew said Argentina's World Cup pair would take his team to a new level.
Romelu Lukaku's 50th league goal for Everton put them on the way to a deserved 2-0 victory over West Ham United on Sunday, ending a run of four league games without a win. It kept the Merseysiders sixth in the Premier League and West Ham in the bottom five.
Manchester City will host Liverpool in the FA Cup quarter-finals while Arsenal travel to Southampton as the last-eight draw sets up a blockbuster clash.
Tottenham rejected Reece Oxford before he joined West Ham.
A late strike by Marlon Harewood gave West Ham United a 1-0 victory over Middlesbrough in the semi-final
Images from the English Premier League matches played on Sunday.
James Beattie struck two minutes into injury time to give Southampton a 1-0 Premiership win at West Ham United on Monday.\n\n
Liverpool took the lead against West Ham United but then had to come from behind in another game of thrills and spills for Juergen Klopp's unpredictable side who where held to a 2-2 home draw in the Premier League on Sunday.
Former England striker Carlton Cole is leaving West Ham United after seven seasons at the club.
West Ham United's teenage defender Daniel Potts was taken to hospital suffering from concussion after being briefly knocked out in a second-half clash of heads with Arsenal defender Bacary Sagna in their Premier League match on Wednesday.
English Premier League soccer club West Ham United have been chosen as the leading bidder to move into the Olympic Stadium but commercial terms must still be negotiated.
Nottingham Forest significantly improved their chances of avoiding relegation from the Premier League with a dominant 5-0 victory over Sunderland. The win moves them eight points clear of the relegation zone, increasing pressure on their rivals.
West Ham United's hopes of avoiding relegation suffered a cruel blow as an own goal by midfielder Tomas Soucek and Harry Kane's first goal since December condemned them to a 2-0 defeat at Tottenham Hotspur on Tuesday.
Chelsea overpowered West Ham United and Manchester City outclassed West Bromwich Albion as the Premier League title rivals signalled their intent at the start of a hectic holiday programme on Friday.
Images from Saturday's action in the Premier League.
Fulham fixed their penalty jinx as Ivan Cavaleiro's spot kick eased them out of the relegation zone with a shock 2-1 win at high-flying Leicester City in the English Premier League on Monday.
Former West Ham chairman Eggert Magnusson has sued the Premier League club and its owner Bjorgolfur Gudmundsson for breach of contract, Icelandic state television reported.
A summary of Thursday's second leg quarter-final matches in the Europa League.
West Ham United face sanctions after the FA said the Premier League club had been found guilty on two charges of crowd trouble at a League Cup match against Millwall at Upton Park last August.
West Ham United manager David Moyes and players Issa Diop and Josh Cullen have returned positive tests for COVID-19, the Premier League club said on Tuesday.
Chelsea manager Antonio Conte reiterated his commitment to the Premier League leaders on Friday, following media reports that he was finding hard to adjust to life in England without his family.