Crystal Palace, who missed a stoppage-time penalty, became only the second team to take points off Manchester City in the English Premier League this season when they held the runaway leaders to a 0-0 draw at Selhurst Park on Sunday.
Chelsea went second in the Premier League with a comfortable 4-0 win at Burnley, on Sunday, which maintained their unbeaten start to the season.
Wolves midfielder Leander Dendoncker then hit the post with a powerful shot before Portuguese winger Podence made it 2-0, meeting Pedro Neto's cross from the right with a superb cushioned volley in the 27th minute.
Images from Saturday's action in the English Premier League
Kane headed home from Christian Eriksen's corner in the 89th minute to make up for two glaring misses earlier in the match at Selhurst Park.
Manchester City moved 11 points clear at the top of the English Premier League after a last-gasp goal from Rodri gave them a 2-1 victory at fourth-placed Arsenal on Saturday in a controversy packed game at the Emirates stadium.
Images from Saturday's action in the English Premier League.
Watford and Crystal Palace continued to inch towards Premier League safety after a scrappy goalless draw at Vicarage Road on Saturday that means the home side have taken just two points from a possible 21.
Images from Saturday's action in the Premier League.
Manchester City moved 17 points clear of the pack with a 3-0 win at Fulham on Saturday
Arsenal slumped to a last-gasp 2-1 Premier League defeat at relegation-threatened Brighton & Hove Albion on Saturday in a blow to the London club's chances of securing European football next season. Watford's Craig Dawson grabbed a stoppage-time equaliser with an overhead kick to earn his side a 1-1 draw with Leicester City on Saturday and a vital point in their battle for Premier League survival.
A round-up of Sunday night's matches in the Premier League.
It was a third successive 0-0 draw for United after a stalemate at Chelsea on Sunday and against Real Sociedad last Thursday which completed a 4-0 aggregate win over the Spanish side in the Europa League.
Liverpool survived a late spell of Everton pressure to stretch their record unbeaten run in Merseyside derbies to 17 games
Manchester United continued their perfect start to the Premier League season by crushing Swansea City 4-0 with three late goals in four minutes.
Arsenal will put one of the best Champions League records on the line when they face Olympiakos Piraeus in a showdown for second spot in Group F on Wednesday.
Manchester United have scored 14 goals and earned maximum points from their four matches under interim boss Ole Gunnar Solskjaer.
Images from the English Premier League match played between Arsenal and Crystal Palace on Monday
IMAGES from English Premier League matches played on Sunday
But for third-placed Spurs, who trail leaders Manchester City and Liverpool by five points, this may prove to be a loss that leaves them with too much ground to make up.
Chelsea's new signing Gonzalo Higuain netted his first two Premier League goals in Chelsea's 5-0 thrashing of Huddersfield Town while Tottenham Hotspur's Son Heung-min struck late for a 1-0 win over Newcastle United as they moved into second place.
Manchester City stumbled to the most unexpected defeat of the Premier League season on Saturday before neighbours Manchester United began their brave new world under Ole Gunnar Solskjaer with a glorious reminder of long-forgotten attacking swagger.
Photos from the English Premier League matches played on Sunday
Two late goals by Everton substitutes brought the Merseysiders a third successive win when they beat Crystal Palace 2-0 at Goodison Park in Sunday's only Premier League game.
A Sergio Aguero hat-trick helped Manchester City get back to winning ways in the Premier League with a 3-1 victory over Newcastle United, as they stayed 12 points ahead of Manchester United who had to dig deep to secure a 1-0 win at Burnley.
Manchester City suffered their first home Premier League loss in eight months as a shock 3-2 defeat by Crystal Palace on Saturday left Pep Guardiola's champions trailing leaders Liverpool by four points.
Here are five talking points from the weekend's Premier League action:
Harry Kane's 101st Premier League goal was the difference as Tottenham Hotspur earned a 1-0 win over Arsenal, to continue their fine recent form in north London derbies in front of a Premier League record crowd at Wembley on Saturday.
Manchester City forward Raheem Sterling struck twice as the Premier League champions beat Crystal Palace 3-1 at Selhurst Park on Sunday to go top of the table and heap pressure on title rivals Liverpool.
Liverpool's Egyptian forward Mohamed Salah scored his 29th Premier League goal six minutes from time to secure a 2-1 win at Crystal Palace that took them up to provisional second spot in the table on Saturday.
City are two points behind leaders Liverpool, but have a game in hand
Images from the English Premier League matches played on Sunday.
Images from the English Premier League matches played on Saturday.
Images from the English Premier League matches played on Saturday
A summary of Saturday's matches in the English Premier League.
Match-by-match facts and statistics ahead of round 11 of the Premier League on Nov. 3-5:
Liverpool made it three wins out of three as Mohamed Salah scored twice in a convincing 3-1 victory over Arsenal on Saturday to take control at the top of the Premier League.
IMAGES from the English Premier League matches played on Wednesday
Mohamed Salah struck four times in rampant Liverpool's 5-0 thrashing of Watford that lifted them back into third spot in the Premier League on Saturday.
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