Chelsea did little to take the spotlight away from under-fire manager Antonio Conte in a goalless draw with Leicester City while Harry Kane broke another record after a brace in Tottenham's 4-0 hammering of Everton.
Chelsea were unable to pierce Leicester's defence and were second-best for long periods at Stamford Bridge, even after visiting left-back Ben Chilwell was sent off for a second bookable offence midway through the second half.
The stalemate left the third-placed Blues 15 points adrift of runaway leaders Manchester City, who play Liverpool on Sunday.
"I think we played with a lot of top players against Arsenal (in the goalless League Cup semi-final first leg), and then again today against a very good team," Conte, who has been rumoured for a move to Paris Saint-Germain in the summer, told the BBC.
- Kane record -
Saturday's late kick-off saw Tottenham forward Kane score his 98th Premier League goal and surpass Teddy Sheringham's previous club record of 97 with his double against Everton at Wembley.
Son Heung-Min broke the deadlock midway through the first half and Kane made it 2-0 in the 47th minute after an excellent run and cross from Son, despite a suspicion of offside.
That goal saw Kane equal Sheringham's tally and the England striker broke it 12 minutes later when he prodded the ball past Jordan Pickford from close range.
Christian Eriksen completed the scoring nine minutes from time when he finished a sweeping move.
Alan Pardew oversaw his first Premier League victory as West Bromich Albion manager thanks to a 2-0 win over Brighton, while Rafael Benitez's Newcastle came from behind to draw 1-1 with bottom-of-the-table Swansea City as the battle to avoid relegation intensified.
West Brom, who kicked off level on points with Swansea, needed just four minutes to take the lead at The Hawthorns when Jonny Evans headed in from a corner.
Craig Dawson secured their first league win since August 19 in the 56th minute with a fine header.
Substitute Joselu equalised 10 minutes later for the hosts with virtually his first touch of the game.
- Taylor remembered -
Vicarage Road was even more brightly bedecked in the club's yellow colours than usual as Hornets fans marked the first anniversary of the passing of their celebrated former manager and ex-England boss Graham Taylor.
But despite the highly-charged atmosphere, it was Southampton who broke the deadlock thanks to Ward-Prowse's low strike in the 20th minute.
Ward-Prowse, on target in last weekend's 1-0 win FA Cup victory over Fulham, doubled the Saints' lead shortly before half-time after he was unselfishly played in by Dusan Tadic.
Watford pulled a goal back through an Andre Gray header and then equalised in controversial fashion right at the finish when Abdoulaye Doucoure turned in a Troy Deeney flick- on.
"I never see this type of mistake in the Premier League before," said Southampton manager Mauricio Pellegrino.
"To live this injustice is really hard. I think we have to try (VAR)."
Crystal Palace's Bakary Sako scored the only goal of the game in the 21st minute as Roy Hodgson's Eagles saw off Burnley 1-0 at Selhurst Park, while West Ham overpowered Huddersfield Town 4-1.
Moyes's men opened the scoring at Huddersfield in the 25th minute when Town's Joe Lolley was dispossessed, with Mark Noble advancing into the area before unleashing a powerful shot.
But Lolley atoned five minutes before the break by drawing the visitors level after he curled a shot into the far corner.
West Ham regained soon after the break when Marko Arnautovic, straight from the kick off, hooked the ball past Tommy Smith and shot home.
Manuel Lanzini made it 3-1 before scoring his second and the Hammers' fourth in the 61st minute.
Sunday sees Arsenal away to Bournemouth while Manchester United, second but still 15 points behind Manchester City, face managerless Stoke at Old Trafford on Monday.
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