Liverpool

The Frenchman's flicked header just after the half-hour mark was enough to see off a Liverpool side who appeared jaded following their midweek Champions League exploits.

The result moves Chelsea to within two points of Tottenham in fourth and just three behind third-placed Liverpool with two games remaining.

Jurgen Klopp's side headed to the Italian capital with a commanding 5-2 advantage from last week's first leg, where their Serie A opponents snatched faint hopes of a comeback by netting a pair of late away goals.

Still, Roma had no margin for error – certainly not to the magnitude of the woeful blind pass midfielder Radja Nainggolan played in the ninth minute that resulted in Sadio Mane opening the scoring.

An incredibly unfortunate James Milner own goal did not knock Liverpool off their stride, with Georginio Wijnaldum restoring their ample cushion in the 25th minute.

Kane had been denied by Loris Karius from 12 yards shortly after Victor Wanyama's long-range blockbuster cancelled out Mohamed Salah's opener, and Liverpool looked to have snuck a win thanks to the Egyptian's wonderful solo effort in the first minute of stoppage time.

But referee Jon Moss pointed to the spot again when Virgil van Dijk challenged Erik Lamela and Kane stepped up to send Karius the wrong way and give a thrilling contest a fitting climax.

Swansea went ahead five minutes before the break when an attempt to clear by Liverpool's 75 million pounds defender Virgil Van Dijk landed at the feet of Mawson who swept the ball home for his sixth league goal this season.

Van Dijk, playing in his first league game since signing from Southampton, had earlier flashed over a header from a first-half corner, while Mohamed Salah blazed the Dutch defender's lofted pass over the bar on the half-hour mark.

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.

The Dutchman, signed last week from Southampton for a reported fee of 75 million pounds ($101.7 million), rose inside the area to head home an Alex Oxlade-Chamberlain corner in the 84th minute of what had been a pulsating Merseyside derby.

Liverpool looked to have been frustrated after Gylfi Sigurdsson brought Everton level in the 67th minute after a brilliant counter-attack from Sam Allardyce's side.

With Chelsea and table-topping Manchester City playing later in the week, Liverpool registered their second win in 48 hours after the Estonian popped up with his first league goal.

On the blue half of Merseyside, Manchester United climbed back up to second in the table after second-half goals by Anthony Martial and Jesse Lingard earned a 2-0 victory at Everton -- their first win in five games in all competitions.

In disarray for 45 minutes and behind to a rare headed goal by Philippe Coutinho, Arsenal were in danger of suffering a pre-Christmas nightmare on Saturday (NZ time) when Mohamed Salah raced away to put a rampant Liverpool 2-0 ahead in the 52nd minute with his 15th league goal of the season.

But the hosts suddenly came alive and, unbelievably, they were ahead by the 58th minute with goals from Alexis Sanchez, Granit Xhaka and Mesut Ozil turning the game upside down.

They were joined in the last 16 by Sevilla, Shakhtar Donetsk and Porto on the final matchday of the group stage.

A first Reds hat-trick from Philippe Coutinho, a brace from Sadio Mande and singles from Roberto Firmino and Mohamed Salah at Anfield ensured Liverpool topped Group E.

It means for the first time there are five EPL clubs in the last 16.

Sevilla drew 1-1 at eliminated Maribor to go through second ahead of Spartak.

Shakhtar defeated Group F winners Manchester City 2-1 to secure second place, with first-half goals by Brazilians Bernard and Ismaily.

The Brazilian substitute needed just 144 seconds on the field to make the impact boss Antonio Conte was looking for, with his attempted cross sailing over the head of Liverpool goalkeeper Simon Mignolet and into the far corner on 85 minutes.

Salah, who tops the Premier League scoring charts, continued his fine form by coolly slotting his 10th goal of the campaign past Chelsea 'keeper Thibaut Courtois on 65 minutes. And he was almost the hero with a last-gasp strike from the edge of the box which was brilliantly parried away by Courtois.

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Saturday's dismal defeat leaves the Hammers languishing a point and a place above the bottom three and the London Stadium crowd let their feelings be known at both half-time and the final whistle.

Salah opened the scoring in the 21st minute as he and the returning Sadio Mane, making his first start in a month, embarked on a devastating counter from a West Ham corner, 13 seconds elapsing between the taking of the set-piece and the ball nestling in Joe Hart's net.