Spinner Andrew Salter produced career best figures of 4/80 for Glamorgan but two centuries in two innings by Ian Bell saw Warwickshire across the line in Edgbaston.
Salter dismissed the hosts' openers and took two late wickets but it wasn't enough to stop Warwickshire who successfully chased down the target of 294 with four wickets remaining.
"It was nice to take those two late wickets although it probably was a couple of hours too late.
"That's probably one of my longest spells with the ball, but it was nice to get out there and bowl as many overs as I did. It was a challenge to stay in the game, it was rough out there so it provided that attacking option which I always enjoy. I tried to do everything I could but as you say it wasn't quite enough.
"We took this game in isolation on the back of the one-day block of matches, so it felt like a fresh start. We played some really good cricket over the four days and had things gone our way a little bit more at the end we could have had a chance of winning.
"The boys really stuck at it all day, you can't fault the effort but Ian Bell played very well and took the pressure away from them.
'It was very frustrating, we were trying everything we could to break their partnership of Bell and Trott but unfortunately it came a bit too late for us. The wickets came too late in the day and we probably didn’t score enough runs to bowl them out."