Quarter-final draw also pits Corinthians against Rushen
Hospital Cup holders St Georges will travel to Douglas Athletic in this year's quarter-finals.
It's after they thrashed Governor's Athletic 13-0 in the first round.
The two other teams who progressed comfortably in the previous round will now face each other as Marown are set to travel to Laxey for a place in the last four.
Rushen, who needed extra time to beat St John's on Sunday (23 April), have been drawn away at Corinthians.
Elsewhere, Colby - who caused an upset by beating Old Boys in the first round of the competition - have been drawn away against Peel.
Full Hospital Cup quarter-final draw:
Douglas Athletic v St George's
Laxey v Marown
Corinthians v Rushen
Peel v Colby