The draw, which took place live on Soccer Republic on RTE Player and was conducted by FAI President Tony Fitzgerald and Dave Barry, saw the Dublin rivals pitched against each other at Tolka Park.
Crumlin's reward for beating SSE Airtricity League First Division side Wexford FC is a tie against last year's beaten finalists Dundalk FC whilst FAI Cup holders Cork City welcome Athlone Town to Turner's Cross.
Leinster Senior League side Bluebell United will host First Division side Cabinteely whilst Bangor Celtic will welcome Longford Town, who shocked Sligo Rovers in the first-round.
The Irish Daily Mail FAI Cup second round draw:-
Shelbourne v Shamrock Rovers
Bangor Celtic v Longford Town
St. Patrick's Athletic v Galway United
Cork City v Athlone Town
Limerick v Finn Harps
Bluebell United v Cabinteely
Drogheda United v Cobh Wanderers
Crumlin United v Dundalk
All fixtures will be played on the weekending Sunday, August 27th with dates and times to be confirmed.