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Bath will have a point to prove at the Recreation Ground in round 6 as they look to finish a disappointing campaign on a high.
The 1998 Heineken Cup champions were beaten quarter-finalists to Leicester last year but will have to win their final game if they are to stand any chance of finishing above bottom place in Pool Four this time around.
The only occasion Ulster has ever progressed to the knock-out stages was when they won the competition against Colomiers in 1999.
After ten years running of Heineken Cup misery, the Ulstermen stand an outside chance of qualifying for the quarter-finals.
They need to ensure they pick up a bonus point win and hope that Stade Francais come away empty-handed from Edinburgh.
Coach Brian Mclaughlin leads an unchanged squad to the West Country stating: “We said one of our aims at the start of the season was to be heading into our final pool game in the European Cup, with something to play for, and that’s exactly what we have done.”