Ulster's 9 - 6 victory over last season's European Cup finalists Biarritz Olympique keeps their quarter-final hopes alive and they look set to qualify as one of two pool runners-up.
Brian McLaughlin's side travel to Italy to face Magners League rivals Aironi next weekend and a victory plus other results in their pool going their way could see Ulster qualify as pool winners.
Munster, Scarlets and the Blues are still all in with a chance of qualifying for the knock-out stages of the Amlin Challenge Cup if they can make the runners-up spot in each of their European Cup pools.