Striker Costa ends second spell at Atletico Madrid.
News of all that's transpired on and off the football field
It was not a day for FA Cup romantics as Manchester United scrambled past Sheffield United and minor league Eastleigh came within a whisker of causing the third round's only genuine shock.
Dick Advocaat has stepped down as manager of Premier League Sunderland after less than seven months in the job, the club said in a statement on Sunday.
Images from the English Premier League matches played on Tuesday
The last three league meetings between the two sides, including October's game at Anfield, have ended in draws but Lovren said Liverpool were intent on coming away with all three points on Saturday.
Images from the FA Cup matches played on Saturday
The following are talking points from the weekend's Premier League action:
News of all that's transpired on and off the football field
Philippe Coutinho's versatility makes him a great acquisition for Barcelona, coach Ernesto Valverde said on Sunday as the Brazilian made his first public appearance at the Nou Camp following his 142-million-pound ($192.57-million) move from Liverpool.
Tottenham Hotspur's tenacious chase of leaders Chelsea continued as they claimed a 12th consecutive Premier League home win with a 4-0 rout of Bournemouth on Saturday to cut the gap to four points.
Such is the level of consistency of Manchester City (nine straight wins) and Liverpool (five straight victories), that it can be easy to lose sight of just how good this title race is.
Leicester's Mahrez finds form in time for January sales
Substitute Jesse Lingard struck twice in the second half as Manchester United fought back from 2-0 down to earn a 2-2 Premier League draw with Burnley at Old Trafford on Tuesday.
Manchester City went 11 points clear with a record 14th consecutive Premier League win in an entertaining derby against Manchester United at Old Trafford.
Sam Allardyce has been named England manager on a two-year contract, the Football Association said in a statement on Friday.
Lionel Messi announced on Friday that he wants to return to play for the national team, reversing his decision to retire earlier this year. Messi said in June that he would not play for Argentina again after the team lost to Chile in the final of the Copa America.
Vibrant Chelsea made it a torrid few days for Liverpool as goals by Willian and Ross Barkley sealed a 2-0 victory to send them through to the FA Cup quarter-finals on Tuesday. Liverpool's 44-match unbeaten streak in the Premier League ended in stunning fashion with a 3-0 defeat at Watford on Saturday and they were rocked again at Stamford Bridge.
Pep Guardiola said Manchester United's home ground Old Trafford is no longer the fortress it used to be as City look to win all three points and take the lead in the Premier League title race.
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.
News of all that's transpired on and off the football field.
Manchester City are top on goal difference, with Chelsea second and Liverpool dropping to third, two points ahead of Arsenal, who routed Fulham 5-1.
Liverpool continued their relentless march to a first English title in 30 years, easing to a 2-0 victory at West Ham United on Wednesday to move 19 points clear at the Premier League summit. Mohamed Salah fired them ahead from the penalty spot in the first half and Alex Oxlade-Chamberlain doubled their advantage early in the second to wrap up a remarkable 23rd win from 24 games this season and stretch their unbeaten league run to 40.
Images from the English Premier League matches played on Saturday
Manchester City thrashed Southampton 6-1 to remain top of the Premier League.
Arsenal will begin their quest to become the first team in modern times to win the FA Cup three years running with a home tie against fellow Premier League side Sunderland in January.
IMAGES from Saturday's English Premier League matches.
While the 31-year-old achieved every honour in the club game, eclipsing Bobby Charlton as Manchester United's leading scorer, his career with England was always more problematic, even though he ended as their most prolific goalscorer and most capped outfield player.
England captain Wayne Rooney has opened up about his clashes with Manchester United manager Alex Ferguson, how having children calmed him down and why he should not have gone to the 2006 World Cup for a new BBC television film.
Arsenal playmaker Mesut Ozil has come out all guns blazing after criticism of his displays by stating he is among the best number 10s in the world who can help lead his side to glory.
IMAGES from the English Premier League matches played on Sunday.
Leicester City's attempts to sign Adrien Silva from Sporting Lisbon were dealt a blow on Wednesday, with FIFA saying it had rejected an FA petition to grant the midfielder an international transfer certificate.
Swansea City's hopes of salvaging their place in the Premier League suffered a potentially grievous blow as Ryan Fraser's deflected strike earned Bournemouth a 1-0 win on Saturday to secure another season of top-flight football for the Cherries.
Rediff.com has this and a whole lot more exciting action from the week gone by, encapsulated in this photo feature.
UEFA opened disciplinary proceedings against Dynamo Kiev on Thursday over alleged racist behaviour and crowd disturbances caused by their fans during Tuesday's Champions League match at the Olympiysky Stadium against Chelsea.
Here is a summary of stories from the English Premier League
Images from the EPL matches played on Saturday
IMAGES from the English Premier League match played on Saturday
Karius's manager Juergen Klopp said the keeper will be backed by the club.
Photos and summary of the English Premier League matches played on Tuesday, including the story of Chelsea's resurgent win