Mayo have drawn Down away in the second round of the All-Ireland SFC qualifiers.
Tyrone, having lost to Donegal in the Ulster semi-final, face a trip to Longford in a fortnight.
Monaghan will also host Armagh in what promises to be an intriguing all-Ulster clash.
Kildare will travel to Antrim after Sunday's 15-point defeat to Dublin, and Laois must go to Derry after being well beaten by Meath in the other Leinster semi-final.
Westmeath have been drawn at home to Limerick, Leitrim will host Clare, and Offaly have home advanrage against Sligo.
All eight matches are scheduled to take place on the weekend of June 22/23, with exact fixture details to be confirmed by the Central Competitions Control Committee on Tuesday.