Donegal have set up an Ulster Senior Football quarter-final with Monaghan in two weeks time.
Daire Ó Baoill scored 1-4 and Patrick McBrearty sent over 7-points as Jim McGuinness' team defeated Derry by 1-25 to 1-15 at Ballybofey.
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Mayo are through to the Connacht Senior Football semi-finals, where they'll play Leitrim.
Ryan O'Donoghue and Aidan O'Shea's goals helped the beaten league finalists to overcome Sligo by 2-20 to 2-17.
New York host Galway in a sold-out encounter at Gaelic Park at 8pm Irish time.
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Meath will host Division Three champions Offaly in the quarter-finals of the Leinster Senior Football Championship next weekend.
Ruairi Kinsella scored 1-5 from play as the Royals eased to a 14-point win against Carlow in Navan.
Oisin McConville's Wicklow won by six-points after extra-time at Longford to set up a clash with reigning champions Dublin in the last-eight.
