As well as defending their URC title, progress in Europe has been targeted for 2024-25. Warriors were eliminated in the last 16 of the Investec Champions Cup last season and have never gone further than the quarter-finals before.
"I guess the first thing is we haven't won the lot," said defence coach Peter Murchie in The Scotsman. "There's still Europe, where we didn't get past the round of 16, so there's easily something there to tap in. I think we can get better. I think it's a group that is by and large staying together, so there's no reason why we can't go and achieve more.
"There's probably not a mindset of going defending things, because that's quite a negative connotation in terms of everyone coming to attack you. I think it's about going out there and going to get it again. We know what it takes to a certain extent, how we got ourselves into that position, what it takes to win big games, how it felt afterwards. And you want it again."
The Champions Cup doesn't get started until December, but Murchie is working on how Warriors can improve on last season when they beat Bayonne and Toulon but lost to Northampton and Exeter in the pool stage before being edged out 28-24 by Quins away in the round of 16. Glasgow will return to the Stoop in the group stage this season for another reunion with their former coach, Danny Wilson. Prior to that match they will face Sale Sharks, Toulon and Racing 92.
"I think if you look at all four groups, they are all hard," said Murchie. "I think everyone would say our group is hard but so is every other group. I don't see an easy group out of those four. Last year we were competitive. I thought here against Northampton we were bang average, to be honest. But in the other three [pool stage] games we were very, very competitive. Bayonne was an excellent win away from home. Against Exeter we all know what happened in that game - we gave a good account of ourselves with lots of young players. And then Toulon here we obviously won.
"Quins [in the last 16] was tight but there is improvement to be made. As I say, in the Northampton game we weren't very good. But we've got a group that's still together, that's had this experience, they are seasoned internationals and we have to really go after that [the Champions Cup] as well. They will be tough, tough games but that's where we need to be aiming for, to take extra steps in that competition."
Glasgow's win over the Bulls in the URC final at Loftus Versfeld caught the eye of many observers and Murchie fully expects Glasgow to be targeted when the new URC season kicks off next month.
"There will be a number of teams who think they can win the competition, quite rightly, so we're going to have to go and earn it," he said. "No-one is going to come here and give it to us. I guess you have a bit of a target on your back, so we're going to have to go and fight for it and improve. That's the mindset: it's just getting better and improving. We have young players coming through pushing, and that's how you get better: it's the pressure coming from the young lads pushing on the older guys."
The younger players are likely to be given an opportunity this weekend when Glasgow travel to Italy to play Zebre in their first pre-season match. Warriors are expected to leave behind their international players who were involved in Scotland's summer tour and returned to training later than the rest of the squad.
Warriors have a home pre-season match against Connacht scheduled for the following Saturday before the URC kicks off for Glasgow against Ulster in Belfast on September 21. Murchie says that despite the success of last season no-one is getting carried away.
"There's definitely a spring in the step, 100 per cent," said the coach. "It was an awesome experience to go through, watching the guys grow and get better and better and rise to the occasion and just nailing those play-off games. So, definitely a spring in the step. But we're quite a humble group, to be brutally honest. There's no prima donnas in this group. There's not really a place for ego here. The guys are just ready to crack on."