Bourgoin inched their way back through the boots of first Sebastien Laloo and then Benjamin Boyet.
Last weekend the semi-finals took place, with Bourgoin beating Worcester and Northampton seeing off Saracens.
Gloucester visit the Liberty Stadium next week and the Ospreys travel to Bourgoin in a fortnight.
After losing 20-13 at home against Montpellier, Exeter went to France and won 34-19 against Bourgoin.
"It was agreed across the board that a switch to London would benefit Bourgoin fans, " said a statement.
Three well worked phases by Bourgoin from the kick off put Va'aulu in and Matias Viazzo converted the try.
Despite a break from Marty Holah, in his first Ospreys start, it was mostly Bourgoin in the opening quarter.
Ulster now have five points but stay bottom of Pool Two with third-placed Bourgoin also out of contention on seven.
Exeter took the game to their hosts from the off and their solid set piece more than matched Bourgoin's physical forwards.
Known to the Warriors fans as "Dave", the 36-year-old Taumoepeau joined Worcester in the summer of 2005 from French club Bourgoin.
Cooper will compete with Scotland's Rory Lawson and Mike Prendergast, the Irishman recently signed from Bourgoin, for the Gloucester number nine shirt.
After the break, Benjamin Boyet kicked a 43rd-minute penalty for Bourgoin, which was cancelled out three minutes later by Hook's fourth penalty.
Hartley's most recent appearance was the 2009 European Challenge Cup final victory over Bourgoin, a performance in which he won the man-of-the-match award.
It had looked bad for Ulster as their line was crossed by Bourgoin in the first minute with Coux making the left corner.
It took the Ospreys until only the fourth minute to take the lead with Hook's opening penalty, after Bourgoin infringed at a ruck.
They went into the lead against Bourgoin on 12 minutes with winger Tommy Bowe making a good run before feeding inside to Paddy Wallace.
Brando Va'aulu scored Bourgoin's second at the start of the second half but Exeter hit back through Mark Foster before Nemani Nadolo's consolation try.
Worcester went five points clear at the top of Pool Three as they beat French side Bourgoin 27-6 at a sodden Sixways on Saturday.
Meanwhile, Cardiff Blues wing Mosese Luveitasau escaped a ban at his disciplinary hearing on Tuesday after he was cleared of a dangerous tackle against Bourgoin.
Six minutes later winger Coux to went in on the left wing for the try which put Bourgoin into the lead for the first time.
Bourgoin hit back quickly when Denos put in a grubber kick on Ulster's 22-metre line and dived on the ball as it rolled over the line.
The record 48, 990 crowd in the Stade Velodrome comfortably beat the previous best of 31, 986 at Lyon's Stade Gerland in 1999, when Montferrand beat Bourgoin 35-16.
Joe Carlisle landed three penalties for the hosts before Sebastien Laloo got Bourgoin ticking over with two of his own to make it 9-6 at half-time.
Thomas was next to pounce as a Bourgoin scrum wheeled and as the ball popped out the Chiefs srum-half gathered to scoot into the corner from 40m.
Bourgoin got on to the scoreboard with a penalty for replacement centre Laloo, as a result of Ospreys captain Filo Tiatia being sin-binned for an illegal tackle.
But Boyet slotted his third penalty to confirm a bonus point for Bourgoin that the Ospreys could yet rue come the final tally-up at the pool stage.
They have been drawn against last year's cup runners-up Bourgoin from France, Italian side Overmach Parma and Romanian Champions Bucuresti Oaks in Pool One of the competition.
"We have been open to the arguments put forward by Bourgoin who are delighted to reach this European final, " said the statement from tournament organisers European Rugby Cup.
The 22-year-old broke a bone in his thumb in the league win over the Blues, and he will miss the crunch Heineken Cup games with Gloucester and Bourgoin.
With the game slipping away from Bourgoin tempers flared and the crowd vented their frustration when Steenson's penalty was given touch when it appeared to have landed in touch-and-goal.
应用推荐