Stephen Kenny’s side secured a home draw against the Reds as they seek to continue their impressive cup record.
“We got Shels at home last year in the Second Round and went on to win the cup so hope it’s a good omen,” said captain Stephen O’Donnell.
“We don’t want to be one of the shocks in this round so we’ll have to be fully focused. We may have caught them on an off day last year so can’t take anything for granted.
“The Cup Final is the biggest day of the Irish football season so we’d love to go back there again.”
Munster Senior League side Midleton got a tough away draw at Shamrock Rovers while St Patrick’s Athletic host FAI Junior Cup Finalists Pike Rovers from Limerick.
The full draw is as follows:
Finn Harps v Crumlin United
Dundalk v Shelbourne
Bluebell United v Limerick FC
Bohemians v Galway United
Firhouse Clover v Wexford Youths
Athlone Town v Letterkenny Rovers
Ringmahon Rangers v Glebe North
Cobh Ramblers v Cherry Orchard
Derry City v Drogheda United
St Patrick’s Athletic v Pike Rovers
Sligo Rovers v Cabinteely
UCD v Bray Wanderers
Shamrock Rovers v Midleton
Janesboro v Sheriff YC
Waterford United v Longford Town
Cork City v St Peter’s Athlone
Ties to be played week-ending Sunday, May 22
The Irish Daily Mail FAI Cup Final will take place at Aviva Stadium on November 6.