Joey O'Brien's strike two minutes into the second period cancelled out Jonathan Walters' first-half strike, but try as they might they could not get that elusive winner which would have seen them go to fifth.
Pulis was satisfied with the result.
"I thought we played really well in the first half but fair play to West Ham," said Pulis. "Their crowd really, really got behind them and we showed a lot of resilience in the second half."
Pulis revealed the opening goal had come as a result of work on the training pitch.
Walters finished the move off with a pinpoint shot from a low corner after several Stoke players had played important parts in the move.
Pulis said: "We had worked on it for two or three days and never scored a goal in training doing it. Luckily tonight it went in for us.
"I'm not supposed to say this but we obstructed a player (for the goal)."