New Meath manager elect Mick O'Dowd's first Leinster SFC game in charge will see him come up against the winners of the Wicklow v Longford first round tie.
If Meath are victorious in that quarter-final clash they will then face either Laois, Louth or Wexford in the semi-finals.
Laois and Louth will meet in the opening round with the winners playing Wexford in the quarter-final ahead of a potential semi-final meeting with Meath.
The Leinster SFC draw in full is - Wicklow or Longford v Meath; Laois or Louth v Wexford; Westmeath or Carlow v Dublin; Offaly v Kildare.
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