Mayo will face Down in round two of the All Ireland SFC qualifiers while Monaghan and Armagh will face off in a mouth-watering tie.
Kildare, comfortably beaten by Dublin in the Leinster semi final in Croke Park yesterday, face a trip to Antrim while last year's beaten finalists Tyrone will travel to Longford.
Sixteen teams were in today's draw with the eight winners from the first round of qualifiers joining the eight counties who were beaten in their provincial semi-finals.
Teams drawn first have home advantage, except in cases where a Division One/Two team were drawn against a Division Three/Four team. In those instances, the lower ranked team have home advantage. This means Down will be at home for their clash against Mayo.
Venues are subject to approval by the Central Competitions Control Committee with fixture details confirmed on Tuesday.
Westmeath v Limerick
Longford v Tyrone
Antrim v Kildare
Leitrim v Clare
Down v Mayo
Derry v Laois
Offaly v Sligo
Monaghan v Armagh
Matches to be played on weekend of June 22/23.