A late Peter Sullivan try saw Connacht get the better of their opening Rainbow Cup game.
Both they and Ulster scored four tries apiece, but Connacht edged the game 26-points to 24.
This evening sees Calan Doris and Garry Ringrose make their returns to the Leinster side.
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The Pro 14 champions will look to continue their hoodoo over Munster at the RDS from 7.35.