The Baggies had to accept a 2-2 draw after conceding a controversial injury-time penalty.
Reid said: "It was a great second half performance and we are disappointed not to have come away with all three points.
"We defended well, maybe we did not get as forwards as we would have liked, but we managed to stay in the game, which is always the aim when you come to the bigger clubs.
"In the second half, we came out with more confidence and belief, we grew into the game and at times we could have put the match to bed when we had a couple of chances.
"But before the game a result would have been looked at as a good result, but with the way it ended, it does feel like a defeat in that changing room."
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