The men's and women's teams were both in the draw this afternoon.
Athlone Town will face Whitehall Rangers in the first round of the Evoke.ie FAI cup.
Two-time winners Peamount United will host non-league Finglas United, while Sligo Rovers take on Douglas Hall.
There's two all-National League ties with Bohemians entertaining Galway while Treaty United go to DLR Waves.
2017 winners Cork City will play Bonagee United.
Cup winner with Shelbourne in 2016 - Seana Cooke - feels that Finglas will fancy upsetting Peamount in the opening round
Cup holders Wexford Youths and league winners Shelbourne got a bye into the second round.
In the men's cup, Athlone Town will be welcomed by Drogheda United.
FAI Cup holders St Patrick's Athletic will start the defence of the trophy at home against Waterford.
Losing finalists Bohemians will travel to Finn Harps in the only all-Premier Division tie in the first round.
There's a Cork derby in the opening round with Cobh Ramblers hosting Cork City while the Louth clubs drew teams from the midlands.
League champions Shamrock Rovers have a short trip to Bangor Celtic while Derry City host another non-league club in Oliver Bond Celtic.
The other top-flight clubs - Shelbourne are away to Bray Wanderers, Sligo Rovers have a home tie against Wexford and UCD entertain Cockhill Celtic.
Those matches will be played on the weekend of July 31st.