The Toffees scored a late goal through Mikel Arteta to force a 2-2 draw after giving up a lead following Tim Cahill's early header but Moyes felt they could have gone even better than a single point when Jermaine Beckford missed a golden opportunity.
"It was a great chance in the last seconds, through on goal, and he normally finishes them. It could have been three points," Moyes told Sky Sports 1.
"We had the ball a lot in and around the edge of the box, we got into good positions but didn't make them pay. It was disappointing we couldn't finish off our good play.
"(But) we're pleased - it's a hard place to come, especially after the result last week for Sunderland."