All-Ireland champions Kerry will face either Waterford or Tipperary in the Munster Football Championship semi-finals.
Limerick will play Cork or Clare in the last-four in the southern province.
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Holders Derry will play Fermanagh in the Ulster Football quarter-finals.
Tyrone will play Monaghan with Donegal up against Down.
Cavan await the winners of Armagh and Antrim
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Roscommon will play Mayo in the quarter-finals of the Connacht Senior Football Championship.
Defending champions Galway will await the winners in the semi-finals.
On the other side of the draw Leitrim will go to New York and Sligo go to London.
That means a Division Four team will play in the All-Ireland round-robin.
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Dublin's bid for a 13th successive Leinster Football Championship title will see them face Wexford or Laois in the quarter-finals.
The victors of Longford and Offaly will play Meath in the last eight and Kildare face Wicklow or Carlow.
Tailteann Cup winners Westmwath face Louth in the quarters.
Mayo drawn to face Roscommon in provincial opener
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