West Ham, meanwhile, remain in seventh place but have played more games than all the teams around them.
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It was a big night for Tottenham captain Son Heung-min, who made his 400th appearance for the club in all competitions.
Alas, facing West Ham has rarely been a highlight for him in recent times. He has now failed to score or assist at the Hammers in last out of his last seven visits (six at London Stadium, one at Upton Park).
Better luck next time Sonny, and congralutions on bringing up the big 400.
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West Ham boss David Moyes didn't exactly cut a happy figure speaking to TNT Sports after that, but his words stated his satisfaction at his side responding to that collapse at Newcastle on Saturday:
???? "I would have taken a point before the game. Tottenham are a really good team so it’s a good point for us.
"Everybody knows Tottenham’s style and we had to do some changes to try and eliminate that, and we done a pretty good job of it. They go the goal and it put us on the back foot. But fair credit, we got on the front foot as often as we could.
"Tonight we were organised, better structured and committed to make sure didn't score, so we've done a really good job that gave us a chance of winning. In the end…maybe it was the right result."
More from the Tottenham manager's conversation with the BBC after the match: "There's a lot of games to go still. I will be very surprised if all games aren't tight. Everyone is fighting for something. We have to maintain our levels."
On Brennan Johnson suffering a knock: "Yeah I think he's alright. It was just a knock from a set piece. I think everyone got through it pretty well considering it was two games in a short space of time."
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Ange Postecoglou spoke to the BBC after the draw: "Yeah it was (tough physically) and it's what you expect when you come here. They are a strong team and they sit compact so you have to be patient. I thought we handled it OK. Disappointed not to get a better outcome but a tough game."
On Brennan Johnson's opening goal for Spurs: "It was a well-worked move. We have been working on that. A couple of other times we just weren't in the right areas."
On Timo Werner's performance: "We are working with all the guys all the time to try to get a better understanding. I thought in the front third, some of our decision-making and clarity of thought let us down a little bit."
On Yves Bissouma's performance: "I thought he was outstanding. Yves did the defensive work which was always going to be important today. The general effort from the lads was strong. It's a tough place to come."
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That's another game and more proof of Brennan Johnson's growing influence as a top Premier League player.
The forward has now has six directly goal involvement in his last seven Premier League games - 3 goals, 3 assists.
That makes it 12 in 24 appearances since joining Tottenham in the summer - 5 goals, 7 assists - and already one more than he managed in 41 appearances for Nottingham Forest last season (11).
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Charlie Eccleshare and Jay Harris have broken down the talking points for Spurs from this match, delving into:
Follow the link below to read their analysis!
GO FURTHER
West Ham 1 Tottenham 1 – A missed opportunity? Set-piece woes for Spurs but Johnson impresses
The Athletic
Our dashboard does a great job of showing how much of the ball Tottenham had in that game.
You can see it in the strength of the lines connecting the Spurs' average positions - as well as the blue in the heat map and the many blue circles below it including build-ups and high press.
But then you get to the shot maps and you can see how much more dangerous West Ham were in the box.
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West Ham goalscorer Kurt Zouma spoke to TNT Sports after the draw: "It was an intense game today. Both teams wanted to win. We finished with a draw but we gave so much energy in the game. We had to react from the weekend and I think we did well.
"The opposition are playing well but the reaction was the thing we have to take from the game. I always say to the boys we are family and that is in ups and downs. The reaction was spot on. Unfortunately we couldn't get the win but it was good for the confidence.
"The run-in is always exciting. We still have a lot to play for and hopefully we finish in a good position."
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Newcastle 1-1 Everton
Nottingham Forest 3-1 Fulham
Bournemouth 1-0 Crystal Palace
Burnley 1-1 Wolves
Here's the evidence that Paqueta did indeed bring down James Maddison on the edge of the West Ham penalty area in that second half.
That should've given Maddison the chance to air his free-kick expertise but alas.
In fact, playing on should've really allowed Michail Antonio to win the game for West Ham, but he couldn't take advantage.
Well that first half was short of the fun of the first - bar a chaotic final few minutes. Here's how the final picture looked in terms of the numbers:
FT: West Ham 1-1 Tottenham
No complaints over the final result and in reality, the game went as expected too. It was pretty evenly matched, which may well prove a bit of a disappointment for Spurs.
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Tottenham are now winless in their past four Premier League away games against West Ham, drawing two and losing two.
It's their longest run without a win at West Ham since a run of six matches between 1995 and 2001.
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A fair result, with neither team doing enough to win it. Frustrating for Spurs, who couldn't capitalise on an early lead and miss the chance to move level on points with Aston Villa.
As it stands, they're two points behind and even on games played. Villa face Manchester City at the Etihad tomorrow.
Those attacks by both sides right at the end of the match come to nothing, and the referee whistles for full time.
A thrilling ending to an engrossing match as honours are shared.
90+4' West Ham 1-1 Tottenham
West Ham launch a quick counter-attack after Udogie's chance. Spurs are all over the place at the back but manage to clear the danger.
The waning seconds see an ensuing counter-attack by Spurs, before another by West Ham!
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90+4' West Ham 1-1 Tottenham
What a chance for Udogie to win the game! A brilliant knockdown sets the ball up perfectly for him at the top of the box, but he hits his shot straight at Fabianski.
What a let-off for West Ham!
90+1' West Ham 1-1 Tottenham
We're into four minutes of stoppage time here in the second half.
