The point has secured second-place for United but fans will be disappointed that Jose Mourinho's side didn't push for goals against the struggling Hammers.
United manager Jose Mourinho reacted to Friday's meek 1-0 defeat at Brighton by making eight changes with Marcus Rashford and Anthony Martial relegated to the bench despite the continued absence of the injured Romelu Lukaku.
Sadly, this meeting never got going, with both teams having relatively little to play for at this late stage of the season.
A forgettable game ended in a drab 0-0 stalemate as Luke Shaw came closest to settling the contest when his first-half effort was turned onto the post.
West Ham avoided relegation after winning last weekend.
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The " queen of the hill " is the bill that receives the most votes, and that would be the one to advance to the Senate. AshLee Strong, Ryan's spokeswoman, did not condemn or praise the discharge petition when asked about it Wednesday.
There could be a clue as to the thinking about the shape of the side for the Emirates FA Cup final with Chelsea, like West Ham, operating a three-man defence.
"Any team that goes to this kind match where you need something to get some objective, you fight for that", said United boss Mourinho. Good work by Paul Pogba and Alexis Sanchez led to Jesse Lingard forcing a flying save out of Adrian, and the home keeper was beginning to earn his pay.
West Ham are back being linked to Rodrigo Battaglia from Sporting this Thursday, this time by newspaper A Bola.
And some fans were not happy about Eric Bailly's exclusion.
The 25-year-old, who Moyes signed from Preston North End - another of his former clubs - has made just three substitute appearances since joining in January.