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Holders St Helens will face Catalans Dragons - who they beat in last season's Super League Grand Final - in the Challenge Cup quarter-finals.
Saints beat second-tier Whitehaven in round six while Dragons overcame Featherstone Rovers.
Barrow Raiders - the last non-Super League side left in the draw - could host Hull FC if they beat Huddersfield.
Warrington or Wakefield will host Wigan while Hull Kingston Rovers will face Castleford after the Tigers beat Leeds.
Ties will be played on the weekend of April 8-10.