Striker Costa ends second spell at Atletico Madrid.
Manchester City had to battle back from behind to earn a 1-1 draw against Premier League newcomers Wolverhampton Wanderers who gave the champions a real test at Molineux on Saturday.
The wreckage of the aircraft that disappeared over the English Channel last month carrying Premier League soccer player Emiliano Sala and his pilot has been located, the marine scientist directing the search said on Sunday.
Chelsea demolished the team that succeeded them as Premier League winners when champions Leicester City succumbed tamely 3-0 at Stamford Bridge on Saturday.
Manchester City striker Sergio Aguero has been charged with violent conduct over an incident involving West Ham United defender Winston Reid, the FA said in a statement on Tuesday. The Argentine international now faces a three-match ban that would see him miss Premier League games against Manchester United and Bournemouth and a League Cup third-round tie against Swansea City.
Manchester United midfielder Bastian Schweinsteiger will serve a three-match ban for violent conduct following a clash with West Ham United's Winston Reid in the Premier League last Saturday, the FA said on Thursday.
Manchester City beat bottom club Sheffield United 1-0 to move three points clear of Manchester United who were held to a goalless draw at Arsenal in the Premier League on Saturday.
Aaron Ramsey scored a hat-trick on Saturday as Arsenal thrashed Everton 5-1 in the Premier League at the Emirates with a display of free-flowing football that the Gunners have sorely lacked away from home this season.
Here are the talking points from the weekend's action in the Premier League
'It's very difficult to play football in these circumstances within 48 hours. It's amazing for the fans around the world, everybody has the Premier League, I'm more than happy to do that but it's very hard for the players'
Manchester United remain winless at home in the league this season after Arsenal enjoyed their first win at Old Trafford
Spaniard Pedro scored twice as Chelsea tightened their grip on top spot by sweeping past Bournemouth 3-0 on Monday, a club record 12th successive Premier League win taking them seven points clear.
Mohamed Salah struck four times in rampant Liverpool's 5-0 thrashing of Watford that lifted them back into third spot in the Premier League on Saturday.
IMAGES from the English Premier League match played between Arsenal and Chelsea at Emirates Stadium in London on Sunday.
Second-half goals from Leroy Sane and Raheem Sterling stunned Arsenal at the Etihad Stadium on Sunday as Manchester City came from behind to win 2-1 and move seven points behind leaders Chelsea.
Chelsea found no chink in Everton's defensive armour as the Premier League champions were held to a frustrating 0-0 draw at Goodison Park on Saturday.
Three months after the last ball was kicked, the Premier League emerges from the shadow of the COVID-19 pandemic this week for what will be a 92-match slog to the finish.
Sheffield United players have also agreed to defer wages due to COVID-19 pandemic.
Jack Wilshere and Harry Kane have been recalled to the England squad for Friday's World Cup qualifier against Scotland and a friendly against Spain, the FA announced on Sunday.
Jamie Vardy became the first player to score in 11 consecutive Premier League matches when he gave Leicester City the lead in a 1-1 draw with Manchester United at the King Power Stadium on Saturday.
Joint-leaders Tottenham Hotspur and Liverpool both dropped points on a busy day of English Premier League action as Leicester City and Southampton narrowed the gap in what is shaping up to be one of the most open title races for years.
Rediff.com brings you the previews of the main matches scheduled for this weekend in the English Premier League.
IMAGES from the English Premier League matches played on Saturday
Among other transfer news globally, defender Rahul Bheke joins Mumbai City FC while Locatelli completes Juventus move.
Arsenal beat Brighton and Hove Albion 3-2 to reach the FA Cup fifth round.
Manchester United will be without world record signing Paul Pogba for their Premier League opener against Bournemouth on Sunday due to a suspension, the Football Association said on Friday.
Luton pulled one back on the half-hour mark when Chelsea keeper Kepa Arrizabalaga failed to keep out Jordan Clark's low effort which squeezed between his hand and leg into the net.
'We changed our attitude, desire and organisation at halftime and then we were completely different. It was good for my players to learn and to suffer on the pitch'
Two big derbies and an eventful weekend of football awaits us all...
Chelsea's new signing Gonzalo Higuain netted his first two Premier League goals in Chelsea's 5-0 thrashing of Huddersfield Town while Tottenham Hotspur's Son Heung-min struck late for a 1-0 win over Newcastle United as they moved into second place.
The top three places in the Premier League table look secure for Liverpool, Manchester City and Leicester City, but the fourth spot, currently occupied by Chelsea, remains tantalisingly within reach for several clubs including Carlo Ancelotti's Everton and Ole Gunnar Solskjaer's United.
Leicester's EPL title credentials on show against champions Chelsea.
Son fires Spurs to 2-0 win over Huddersfield
News of all that's transpired on and off the football field
Arsenal's Premier League title charge gathered momentum as they moved two points clear at the top with a scrappy 1-0 victory over Newcastle United on Saturday as Leicester City's push faltered with a goalless home draw against Bournemouth.
Liverpool and Manchester United's globe-trotting squads must shake off the effects of international duty for one of English football's most eagerly-anticipated clashes on Saturday.
Manchester United and Manchester City must switch their focus from the Champions League to the Premier League when they meet at Old Trafford on Sunday in a derby that Louis van Gaal says will show whether United are true title contenders.
Sean Dyche's Burnley side looked to have secured a crucial point in their fight to move clear of the bottom three but Eriksen broke their hearts with a clinical finish for third-placed Spurs in the 91st minute.
Chelsea manager Maurizio Sarri made a winning start to life in the Premier League as his team enjoyed a 3-0 win over Huddersfield Town at the John Smith's Stadium on Saturday.
