American Seymour left Ulster to join Glasgow last summer and while he helped his new club reach the RaboDirect PRO12 play-offs, his former club reached the Heineken Cup final.
However the 24-year-old has no regrets on missing out on that occasion insisting there's no reason that, with the squad Gregor Townsend has assembled, the Warriors cannot be bracketed amongst Europe's elite.
"We had our own stuff to concentrate on last year, making sure we progressed as far as we could," he said.
"There was so much to take [out of it] for Glasgow and so much buzz around the club that, while you have your small jealousies, I was enjoying being a Warrior and I wasn't looking back with any sort of regret.
"I 100percent believe we can be as successful [as Ulster]. Ulster, a few years ago, were going through the same re-development stage, bringing players in and changing the ground and re-funding.
"Glasgow obviously started doing that last year, with players of the quality we've brought in last year and this year, not to mention all the youngsters we're bringing through.
"We're now able to keep the talent we have and attract talent from all over the globe which is the biggest statement we can possibly make."
63x46.png){kind=logo}