Bournemouth manager Lee Bradbury felt his side deserved more than a point at Colchester.
The Cherries, who remain in the bottom four, led for much of the game after Wes Thomas had fired them ahead after just 16 seconds. But Colchester secured a 1-1 draw with 18 minutes remaining thanks to Stephane Zubar's own-goal.
Bradbury said: "We can take a lot of positives from it. We got off to a great start and it was a great finish by Wes. There were some really good performances and it was just a mistake on our behalf that let them back in the game.
"I thought we made the better chances in the game and we deserved to win it. We just need to see games out a little bit and show the experience to do that.
"We had to make changes but that was pretty much forced upon me because we have a lot of injuries at the moment. We had eight outfield players fit apart from the strikers. It was good to get Charlie Sheringham involved near the end and I thought if he had the chance to score he would take it because he's a good finisher.
"I thought we might have got a winner near the end but it wasn't to be."