Glasgow Warriors head coach Franco Smith speaking to Premier Sports: "It is play-off rugby, it is always going to be tight.
"Look
at the Stormers earlier, it will be 80 minutes of it which is why I held the
bench back a bit. It’s good to introduce the boys to play-off mentality."
Glasgow captain Kyle Steyn tells Premier Sports: "We made that pretty tough for ourselves. It's a good thing we were able to tough it out, but plenty to work on.
"All credit to the Bulls. They didn't go away and kept fighting."
On facing Toulon in the last eight: "It's always exciting playing a team we don't get to play often. We're looking forward to it."
When are the quarter-finals?published at 19:30 BST 4 April
19:30 BST 4 April
The four quarter-finals will take place next weekend.
The highest-ranked team from the pool stage will get home advantage in each quarter-final tie. For example, Glasgow are guaranteed to be at home next weekend if they beat Bulls, but a Bulls win will mean they go to Toulon in the next round.
Seedings are in brackets and here are the fixtures:
Bordeaux (1)/Leicester (16) v Toulouse (8)
Bath (4) v Northampton (5)
Glasgow (2) v Toulon (7)
Leinster (3)/Edinburgh (14) v Harlequins (6)/Sale (11)
Going away to Toulouse is one of the toughest assignments you have in the Champions Cup and they showed just why that is the case today by blowing Bristol away.
The Bears actually scored the first try but that seemed only to kickstart Toulouse into action and they showed off their range of running skills and attacking rugby to lead 40-7 at the break.
Six-time winners Toulouse march into the quarter-finals in great shape and they will face Bordeaux or Leicester next weekend.
For Bristol, it's back to domestic matters as their European campaign comes to an end.
Sin-bin: Romain Ntamack (Toulouse)published at 48 mins
48 mins
Toulouse 45-12 Bristol
Just before that try there was a high tackle by Toulouse fly-half Romain Ntamack on Bears centre Benhard Janse van Rensburg who has had to leave the pitch for treatment.