Last year's finalists were both drawn against First Division opposition in the first round of this season's FAI Cup.
Dundalk will begin their defence of the trophy away to Treaty United.
While league champions Shamrock Rovers will welcome their old foe John Caulfield and Galway United to Tallaght Stadium.
Title contenders St. Patrick's Athletic also face First Division opposition, with Bray Wanderers to visit Richmond Park.
Sligo Rovers will entertain Cork City, while Bohemians will be away to Munster Senior League side College Corinthians.
The only all-Premier Division tie sees Derry City make the trip to Drogheda United.
FAI Cup 1st round draw:
Fairview Rangers v Finn Harps
Wexford v Cabinteely
Drogheda United v Derry City
Liffey Wanderers v Cobh Ramblers
UCD v Shelbourne
Crumlin United v St. Mochtas'
Killester Donnycarney v Usher Celtic
St. Kevin's Boys v Kilnamanagh
Sligo Rovers v Cork City
College Corinthians v Bohemians
Athlone Town v Waterford
Treaty United v Dundalk
Shamrock Rovers v Galway United
Maynooth Uni Town v Malahide United
St. Patrick's Athletic v Bray Wanderers
Bangor GGFC v Longford Town
all ties to be played the week ending Sunday, July 25.