Holders Dundalk will be away to Sligo Rovers in the semi-finals of the FAI Cup.
The draw was made this morning, with Dundalk learning their next step as remain in the hunt for a domestic treble.
Shamrock Rovers are to take on Crumlin United or Bohemians.
Non-league Crumlin will face Bohs at Richmond Park in their quarter-final next Monday.
The last four ties will be played on the weekend of September 29.