Holders Warrington will play Huddersfield in the quarter-finals of the Tetley's Challenge Cup.
The tie, to be played on July 12-15, is a repeat of the 2009 final which Warrington won 25-16.
That was the first of three Wembley triumphs in four years for the Wolves, who were 34-12 winners over Huddersfield in the Super League at the John Smith's Stadium a fortnight ago.
The other eye-catching tie is Catalan Dragons' home fixture against in-form Hull. The Dragons were beaten finalists in 2007 while Hull, who have won seven of their last eight matches in all competitions, lifted the Cup in 2005.
Favourites Wigan landed a home tie against Widnes while London Broncos got the tie all the seven Super League clubs wanted when they were paired with Sheffield Eagles, the only part-time club left in the competition.
Sheffield coach and chief executive Mark Aston, who was man-of-the-match when the Eagles stunned Wigan to win the Cup at Wembley in 1998, was pleased with the draw.
"We wanted either one of the top clubs away or London or Widnes at home and I'd say we're happy with how it's turned out," Aston said.
"It would be massive for us to get to the semi-finals and we're capable of it. We're at home and we know how to play at home."
The tie, to be played on the weekend of July 26, will almost certainly be played at Don Valley Stadium, which is due to close at the end of the year.
"It's a great way to close the stadium," Aston said.
Warrington's former Huddersfield coach Tony Smith was happy to avoid a cup trip to Catalan for a second successive year.
The Wolves won 32-22 in the quarter-finals in Perpignan last May but Smith appreciates how formidable the Dragons are on home soil.
"The tough draw would have been Catalan at Catalan but Huddersfield will provide good, hard opposition," Smith said. "We've got a healthy respect for the Giants."
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