They took revenge, however, in the return clash at Firhill with a try from Troy Nathan and the boot of Duncan Weir securing victory.
The Warriors first competitive home tie at their new, full-time, home of Scotstoun Stadium will be against Scarlets who will visit on the weekend of Friday 7 September.
The Welsh outfit were the only team to defeat the Warriors in the second half of the regular season in 2011/12, coming out on top in their January clash at Parc Y Scarlets.
Once again, Glasgow bounced back and took victory in the reverse fixture at Firhill just a month later with Ruaridh Jackson slotting 4 penalties and converting a Jon Welsh try on the way to a 19-9 victory.
A huge crowd is expected for the first game at Scotstoun, with a record number of season ticket holders already signed up.
Following a trip to Wales to take on Ospreys the following week, it'll be back-to-back games at Scotstoun when Connacht and then league new-boys Zebre come calling.
RaboDirect PRO12 Champions Leinster make their first visit to Scotstoun Stadium in late November
The first leg of the highly anticipated 1872 Cup against near neighbours Edinburgh will be held at Scotstoun around the weekend of 21 December .
The return fixture at Murrayfield will decide if, once again, the Warriors retain the trophy.
The season will close with the mirror of last season's game, an away game at Connacht.
Warriors head coach, Gregor Townsend, said: "It's a tough opening to the season with the away game at Ulster but we are really looking forward to it.
"We have a squad here that won't show any fear going to play at Ravenhill and a win there would give us real confidence for the rest of the season.
"Of course we're all massively looking forward to our first game at Scotstoun. It's going to be a very special occasion for us.
"The stadium is our home and we want to make it as welcoming as we can for our own fans, and on the flip side of that, make it a place that's pretty intimidating for the opposition.
"The noise of our passionate fans can be something else and to have a packed out Scotstoun, week in and week out, will give us that extra edge, no matter who is coming to play us."
Glasgow Warriors, along with all other clubs, have submitted their preferred times and days for kick off and will be informed of the final schedule once discussions between clubs, broadcasters and the league have taken place.
Super value 2012/13 Season Ticket Membership packages have been flying off the shelves, but there are still some great seats available in both the Main and North stands at Scotstoun. We strongly advise supporters not to delay their purchase so they can secure one of the best spots for the entire campaign.Season Ticket Members get all 14 home regular season RaboDirect PRO12 and Heineken Cup matches for the price of 9 - a saving of up to £145. For full information on the benefits of being a 2012/13 Season Ticket Member and to download our Season Ticket Membership brochure, supporters are invited to visit www.glasgowwarriors.org
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