The Heineken Challenge Cup draws have been made and will see Connacht face a tough last-sixteen tie against Leicester Tigers at Welford Road.
Andy Friend's side will host either Ospreys or Newcastle Falcons.
Ulster are also on their travels as they will take on three time winners Harlequins in the last 16.
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If the Irish province win they'll be away to Dragons or Northampton in the quarter-finals.