Nolan, who made his first start since the opening day of the season at Goodison Park, felt West Ham were worthy of a point on Merseyside.
"Saturday was a very disappointing result, first of all with the first goal which shouldn't have been," he told whufc.com. "It was a blatant offside, so we're disappointed with that.
"Then we're disappointed with the second goal with the way we've given it away from our corner. It's come out and they've had a great break and great finish, but it shouldn't have got there.
"I thought we dominated the game throughout. After we went 1-0 down we responded really well, but it wasn't to be. We've got to learn from that now and learn quickly.
"Taking the positives, I don't think there have been too many teams who have gone to Everton and got an easy ride. You never do at Everton and I never have as a professional, but that was probably the most comfortable we've been.
"The fact we've gone away from Everton disappointed that we've not got anything shows [how far we've come]. We've got a run of games now where we feel we can pick up points, and with boys coming back it's going to be interesting "
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