Holders Dundalk have been drawn away to Finn Harps in the quarter-finals of the Extra.ie FAI Cup.
The Co Louth outfit accounted for St Mochta's last time out, while Harps overcame Derry City in a local derby.
Bohemians, who beat Shamrock Rovers in the last round, have been handed a home tie against Maynooth University Town, winners over Cobh Ramblers.
Meanwhile, St Patrick's Athletic will host Wexford FC, while Waterford FC face a trip to Dublin to face UCD.
The games will take place in the week ending Sunday, 19 September.
The draw was made on RTÉ 2fm’s Game On programme.