Indeed, the majority of the game's best chances fell to the home side, with Felipe Anderson and Andriy Yarmolenko both looking lively on the flanks.
Better in the second half.
Willian in particular showed little chemistry with N'Golo Kante on the right flank, as Chelsea's bright start gradually devolved into sterile possession in the face of West Ham's stubborn defensive effort.
"We needed two wingers". West Ham gave him far less space and, more importantly, denied him room to scuttle through the centre of the pitch and run at their defenders.
Chelsea manager Maurizio Sarri admits that his side are not on the same level as league leaders Liverpool after dropping their first points of the campaign.
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"I wouldn't like to use that as an excuse, we had that type of crowd in the Champions League before and we were able to win", Arteta said.
"I think we played a good tactical game as we allowed them to have the ball but near our box we defended well and we got our first clean sheet". He remains without a Premier League goal since the start of May.
"The first half was very clear, the way I wanted to play". It was just getting us to gel together, obviously signing nine players at the beginning of the season and a new manager, it was always going to be hard. And having made a flawless start to the season with five league wins and a workmanlike midweek victory over PAOK Salonika in the Europa League, Chelsea seemed less likely to suffer through a miserable 90 minutes than West Ham. He failed to inspire a goal, however.
"It's important but I always want to win". Asked if his star player had done so against West Ham, the Italian said: "Not in the first half".
"They were cutting out very well every pass for [Olivier] Giroud, so we needed two wingers, I think".
It's not hard to imagine Sarri's high defensive line being torn to shreds, particularly if Rudiger's injury deprives the Blues of all recovery speed. "I don't know, maybe I will change 11, maybe five".
Chelsea had won all five of their league matches before the weekend, going toe to toe with Liverpool, who beat Southampton on Saturday to make it six wins out of six.