If Wasps see off the challenge of the Cherry and Whites on the weekend of April 3/4/5/6, they will have the luxury of another home fixture against either top seeds Bath or French challengers Brive three weeks later, with a first finals appearance of any sort in six seasons the target in Cardiff on May 23.
Wasps have a proud European record with two Heineken Cup crowns and an Amlin Challenge Cup title in the bag during a five-year spell between 2003 and 2007 but they haven't been battling it out for trophies since they saw off Leicester Tigers for English Premiership honours in 2008.
Director of rugby Dai Young knows just how much it would mean to taste success again on the big stage and he and his players are determined to do all they can to bring the glory days back to one of the country's most decorated clubs.
"Everybody likes to point to silverware and you certainly wouldn't want to go year after year after year without winning anything," Young told the Bucks Free Press.
"Look at Arsenal; it's been a fantastic achievement getting to the Champions League every year but everybody still yaps about them not winning anything for eight years. You can do a great job, but when the fat lady sings it all boils down to what you've actually won.
"I've come here to win things. I don't expect to win things tomorrow, but we're going in the right direction and I'd like to look back at my time here thinking that we've won something.
"This is the most realistic chance we've got of getting silverware this season - on our own patch in the quarter-finals - it's up to us.
"Getting to the quarter-finals with a home draw was always our target and we have achieved that. The last two seasons we have got through to the quarter-final stage and lost to the eventual winners. It was a great night last year against Leinster, who went on to win it, but hopefully we can go a couple of stages further this season."
Wasps had already sewn up a quarter-final spot prior to the last round of pool action this weekend and they cruised past Viadana to jump above Stade Francais, Sale Sharks and Brive in the overall standings.
There was never any doubt about the result in High Wycombe as Wasps had the bonus point try in the bag after just 26 minutes, but the overall performance wasn't quite up to the standards they have set themselves in Europe this term.
Wasps racked up a record-breaking 14 tries against the same opponents in a 90-17 hammering away from home in Round 1 and Young admits they didn't quite match that application or accuracy this time around.
"I think we have to be honest with ourselves; we didn't have intensity right the way through the match," Young, who led Cardiff Blues to Amlin Challenge Cup success in 2010, added on the Wasps website.
"We got the bonus point win pretty early. I was quite pleased with the first 20 to 25 minutes but was pretty disappointed by the middle third of the game, in which we lacked intensity and we lacked tempo. That middle section was very stop start, which is always going to favour a side like that. It is fair to say that it was quite a scruffy performance in places.
"I feel as though we are building a little bit of momentum. We have had some good wins both on the road and here at Adams Park. Obviously everyone is starting to feel a bit more confident but I think this was a bit of a reality check. We are not good enough to play below our best and win games. Without being disrespectful to Viadana, if we played teams in the Premiership and were as scruffy as we were then we wouldn't be coming away with a positive result.
"You can't be too hard on the boys - they did what they had to do - but we know that we have to play better against the other sides we are going to face."