Laois' reward for a first round win over Wexford will be a clash with Dublin.
Offaly and Westmeath have avoided the 'Dublin-side' of the Leinster Football Championship draw that was made last weekend.
Laois will have to face Dublin if they manage to overcome Wexford in the first round, while Liam Kearns' first championship outing with Offaly will be against Longford.
If the Faithful County are to win that game their reward is a quarter final berth against Colm O'Rourke's Meath.
If Tailteann Cup champions Westmeath beat Louth in the last 8 they'll play the winners of Meath v Offaly/Longford.
Westmeath are also guaranteed a spot in the All Ireland Football Championship as winners of last year's inaugural Tailteann Cup.
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