Jose Mourinho won't be feeling too cheery after this one, but his side did at least record back to back clean sheets for the first time this season, while Hugo Lloris produced a huge late save on Harry Wilson to earn his side a point late on.
The only incident worth talking about in a awful first half was when visiting striker Harry Kane was denied a penalty despite appearing to be pushed in the back by King.
Earlier, Harry Kane believed he should have had a penalty after he was bundled over - VAR, perhaps contentiously, seeing no foul on the England skipper. "Everybody knows", he told Sky Sports.
"The same referee who did the VAR decision against Sheffield United, Michael Oliver", he said.
Mourinho preferred not to discuss Oliver during his news conference on Friday, but said officials should be forced to speak to managers to explain decisions. It's not just my opinion, everyone in the world, everybody knows that is a penalty.
"But I think we were not sharp. It would give the referee the opportunity to say, "Yes, I made a mistake - I feel sorry for that", or "Yes I had incredible performance", or "Yes I was perfect". In a way, they surprised us with the way they played since Bournemouth were in the Premier League I don't remember them playing the way they did, but that is an option for them because they have a point they wanted.
"I prefer to say the team understood it was more intense they were played, with certain levels of fatigue clearly for some players, like Moussa Sissoko and Giovani Lo Celso".
The Cherries thought they had picked up all three points in spectacular style in the final minute of the 90. We were dominant behind but then there was lack of sharpness in the attacking areas.
"I made changes, I think the changes helped improve the game in the last part of the game, but we didn't score goals and you don't win when you don't score goals".
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