Liverpool's Darwin Nunez takes a shot at goal during the English Premier League soccer match between Liverpool and Chelsea at Anfield stadium in Liverpool, England, Jan 21, 2023. (JON SUPER / AP)

LIVERPOOL, England - Liverpool and Chelsea's chances of a top-four finish suffered a blow as the pair played out a disappointing 0-0 draw in the Premier League on Saturday, while Everton's relegation fears grew after a 2-0 loss at West Ham United.

Only Southampton are below Everton - on goal difference alone - after the bottom side lost 1-0 at home to Aston Villa, while West Ham's win meant Bournemouth replaced them in the bottom three despite earning a point in their 1-1 draw at Nottingham Forest

Only Southampton are below Everton - on goal difference alone - after the bottom side lost 1-0 at home to Aston Villa, while West Ham's win meant Bournemouth replaced them in the bottom three despite earning a point in their 1-1 draw at Nottingham Forest.

Newcastle United stretched their unbeaten Premier League run to a club-record 15 matches and crept up into third place despite being held to a 0-0 draw at Crystal Palace.

On Juergen Klopp's 1,000th game in management, Liverpool seemed shorn of confidence as they looked to avoid three straight league defeats, only creating half chances with Cody Gakpo missing the best of them in the opening period at Anfield.

The visitors introduced big-money January signing Mykhailo Mudryk in the second half but, while he looked lively, the Ukrainian was unable to lift the Blues, who earned a single point that leaves them 10th, level on 29 points with Liverpool in eighth and Brentford ninth.

All three sides are nine points off the top four, with Chelsea having played 20 games to Liverpool and Brentford's 19 apiece.

Liverpool has failed to win any of its last three league games, while it is the first time the club has failed to score in consecutive matches in the competition since March 2021.

Chelsea is now without a win in its last six league games on the road, the club’s longest comparable run in the competition since September-December 2015.

"We have to be ready for little steps and this is a little step," Klopp said. "A clean sheet against Chelsea, we didn't create a lot of chances and they had some as well.

"We defended in the second half with passion and clear organization, but we were too deep in these moments. In the end, I'm OK with 0-0 because you have to accept these steps."

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Everton's Demarai Gray (left) keeps the ball away from West Ham's Nayef Aguerd during the English Premier League soccer match between West Ham United and Everton at the London Stadium in London, Jan 21, 2023. (STEVE LUCIANO / AP)

Everton misery goes on

Liverpool's Merseyside rivals Everton has been an ever-present in the top flight since 1954-55, but relegation remains a real possibility this term after another uninspiring display at West Ham.

The defeat — Everton's sixth in its last seven league games — will add to the pressure on manager Frank Lampard, while for West Ham boss David Moyes' victory will be sweet relief after his side took just one point from the last 21 available.

Jarrod Bowen scored both goals in a seven-minute first half spell, first netting from close range on the end of Emerson Palmieri's cross, before being set up for his second by good work by Michail Antonio.

Everton offered little in attack, with away supporters again calling for the club's board to resign throughout the clash. They have collected just 15 points from their 20 league this season — their fewest points won after 20 games of any league campaign in their history.

"Pressure is nothing new to us, we were in the same situation last season," Everton's Alex Iwobi told Sky Sports. "We have a break coming up and we have to regroup.

"It is not just the manager who takes responsibility, the players are fighting for him and the club."

Newcastle kept a sixth successive Premier League clean sheet but were left frustrated at Palace.

They have 39 points and are third on goal difference ahead of Manchester United, who play leaders Arsenal on Sunday.

Second-placed Manchester City, who host Wolverhampton Wanderers on Sunday, have 42 points with Arsenal on 47.

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Southampton suffered a blow in their bid to avoid relegation as they lost to Villa in a match disrupted by a rogue drone.

Ollie Watkins struck Villa's winner in the 77th minute off a free kick by Douglas Luiz shortly after Saints had been controversially denied the opening goal by VAR.

Forest's Sam Surridge fired a late equalizer against his former club to earn his side a point at Bournemouth, leaving Gary O'Neil's side in the bottom three, while teenage striker Evan Ferguson rescued a 2-2 draw for Brighton & Hove Albion at Leicester City.