Champions Manchester United travel to Swansea City for their first Premier League match under new manager David Moyes, while Manuel Pellegrini's Manchester City are at home to Newcastle United on August 17.
An inspired Matteo Darmian scored his first goal for Manchester United and set up another as Louis van Gaal's side kept alive their hopes of a top-four finish with a 2-0 home win over Crystal Palace on Wednesday.
Swansea went ahead five minutes before the break when an attempt to clear by Liverpool's 75 million pounds ($104.88 million) defender Virgil Van Dijk landed at the feet of Mawson who swept the ball home for his sixth league goal this season.
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Premier League title race looks poised to be one of the most thrilling in years.
Leroy Sane struck the winner as Manchester City beat Liverpool 2-1 in a gripping English Premier League clash.
Liverpool survived a late spell of Everton pressure to stretch their record unbeaten run in Merseyside derbies to 17 games
IMAGES from the EPL matches played on Tuesday
Barcelona abandoned their hopes of signing Philippe Coutinho from Liverpool after the Merseyside club demanded 200 million euros ($237.14 million) for the Brazil attacking midfielder, the Liga side's director Albert Soler said.
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Liverpool, five-times European champions and last season's Champions League runners-up, eased past the Bavarians and into the quarter-finals with two goals from Sadio Mane and one from Virgil van Dijk after a goalless first leg at Anfield.
Liverpool manager Juergen Klopp is full of admiration for Leicester City's style of football which has propelled the Midlands club to the top of the Premier League.
Chelsea put a miserable week behind them to return to the Premier League summit with a 2-0 win over Fulham as the wheels came off Liverpool's bright start in a 1-0 home defeat to Southampton on Saturday.
The 28-year-old, who joined Arsenal in 2006, scored 108 goals in 397 appearances but has struggled to hold down a first-team place this season under manager Arsene Wenger.
Jose Mourinho's unbeaten Manchester United face the biggest test yet of their title credentials when they visit Liverpool at Anfield on Saturday -- a fixture that always has a little extra spice.
IMAGES from the Champions League 2nd semi-final first leg match between Barcelona and Liverpool at Nou Camp on Wednesday
Liverpool did not reveal the transfer fee but Southampton announced it was "a new world-record for a defender" with English media reporting that it was a 75 million pounds ($100.49 million) deal.
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Liverpool must take all three points when they welcome newly promoted Bournemouth to Anfield on Monday to keep up their momentum in the Premier League, midfielder Adam Lallana has said.
Striker Costa ends second spell at Atletico Madrid.
The victory takes Pep Guardiola's side into provisional second spot
FA Cup holders Arsenal have been drawn against runners-up Hull City, a repeat of last year's enthralling final, in this season's third round after the draw was made on Monday.
Arsenal sent Liverpool crashing out of the FA Cup, avenging last weekend's rout at Anfield, when they beat Brendan Rodgers's high-flyers 2-1 in a full-bloodied fifth round tie at the Emirates Stadium on Sunday.
Free-scoring Arsenal replaced Chelsea as Premier League leaders as goals either side of halftime by Theo Walcott and Mesut Ozil helped them recover from a slow start to beat Stoke City 3-1 on Saturday.
The win allowed second-placed Liverpool to close the gap on league leaders Manchester City to two points.
Brighton and Hove Albion scored late to earn a 1-1 draw at Crystal Palace. Sheffield United and Fulham also drew 1-1 as both teams picked up their first points.
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.
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'The current squad is one in transition, but they have some real talent and are showing a strong sense of togetherness' 'I expect to see them continue to grow and develop over the coming weeks and I wish them and my successor well for the rest of the season'
Mourinho's tinkerings meant a first start of the season for midfielder Scott McTominay, playing on the right of a three-man defence, while Anthony Martial played instead of the dropped Alexis Sanchez. On this evidence, more changes may be needed when United take on Valencia in the Champions League on Tuesday.
News of all that's transpired on and off the football field.
News of all that's transpired on and off the football field
Dejan Lovern talks about his ambition to become a Liverpool legend at Anfield and why victory in the Merseyside derby against Everton could propel Reds' chances this season.
Virgil van Dijk made a dream start to his Anfield career, scoring the winning goal on his debut for Liverpool, as they beat city rivals Everton 2-1 in a pulsating FA Cup third round tie on Friday.
Out-of-favour Liverpool striker Mario Balotelli will receive a six-figure loyalty bonus if he is still at the club when the transfer window closes on September 1, according to British media reports.
The 34-year-old announced last week he would leave at the end of this season and move to Major League Soccer in the United States.
Leaders Manchester City kept up their unbeaten run with a 3-1 win over Bournemouth on Saturday. Manchester United salvaged a 2-2 draw at Southampton, who sacked manager Mark Hughes on Monday.
Liverpool wrapped up a deal for Christian Benteke on Wednesday, luring the targetman to Anfield on a long-term contract.
Mario Balotelli could return for Liverpool at Manchester United this weekend having returned to training after missing a month with a thigh injury, manager Brendan Rodgers said on Friday.
'I can't comment on speculation. I don't bet and I don't do the lottery - it's not my way'