The result sees Bath into eighth place in the Guinness Premiership - above Sale - while Gloucester spurned the chance to regain top spot over Leicester with two games still to play.
"It is disappointing not to have won it. A lot of teams would have been happy - we aren't," he said.
"But we did show tremendous character and great pride among the players to come back from 18-9 down."
Bath scrapped their way back into the game in the second half with a no-nonsense pick-and-drive game and Meehan said: "It was not pretty, but it was quite effective. Every time we used it to drive into their 22 we got a penalty."
On Barkley, the man who earned the draw with his sehventh successful kick, Meehan added: "Olly has got a lot to play for, a lot to prove. He needs to play like that every week."
Gloucester director of rugby Dean Ryan preferred to focus on his side's mental approach in a fixture which has consistently denied his side victory over two decades.
Ryan, whose side scored the only tries of the game through Will James and James Bailey, said: "We have got to use today as a stepping stone and we have got to learn to take risks.
"It's a very fine, emotive game, and when you are on the front foot everything is going well. When we played the first half we were in control and looked a good side, but when you lose that flow you get scratchy.
"In those situations you have got to keep playing even to the extent of taking risks."