Bradley said: "We have the ability to trouble anybody on our day and there was plenty of confidence in the side.

"We've played a lot of good rugby in this competition, and under pressure we've been able to deliver in critical moments in matches in the pool stages.

"And I think we rode our luck a little bit in it as well. Today was very similar to that and we were on the right side of the result."

Bradley is also hopeful that this win will provide a boost for Scottish rugby as a whole.

He added: "All of this is about Edinburgh Rugby and, by extension, Scottish rugby. The fact that Edinburgh Rugby are now in the semi-final of a European Cup is a fantastic achievement for the club and gives us an opportunity to move forward.

"We have a very strong connection with the fans who came today and it's up to us to convert that into Pro12 attendances and try to move the club up."

Speaking about the game, Bradley added: "We were obviously very fearful of Toulouse's ability, in particular up front, but we also felt that just to play Toulouse one way would be too easy for them to defend.

Turnovers

"So what we tried to do was use multiple tactics, sometimes going wide, sometimes going close. We kicked more ball today than we would normally kick because Toulouse's defence is very strong and they score a lot of tries from turnovers.

"Their breakdown work is excellent, so we just had to keep varying the target."

Toulouse coach Guy Noves was magnanimous in defeat, saying: "We were expecting them to be a dynamic team ready to give its best.

"It wasn't a surprise that Edinburgh won and they deserved to win because they played well.

"We produced a good first half and a very bad second half, so we have to accept that it's our fault and congratulate Edinburgh."