Hooker Rory Best was Ulster's other try scorer midway through the first half. Converted by Paddy Wallace, these seven points were the only of the opening 40 minutes as the visitors' defence held firm against Glasgow's offensive effort.

Dan Parks got Glasgow on the board four minutes into the second period with a penalty. But just as the Warriors were upping ther intensity in pursuit of the comeback Ulster struck on the hour, firstly through Best and then Bowe.

Wallace converted to stretch the lead to 16 and effectively secure the points.

Nevertheless Glasgow substitute Andy Newman had the last word on the stroke of full-time when he scored a consolation try.