Cork have set up a McGrath Cup quarter-final meeting with Tipperary by thrashing Mary Immaculate 7-20 to 0-4.
It's CIT next for Waterford who ran out 1-16 to 2-7 winners over UL in Carrignore.
In Leinster's O'Byrne Cup, Meath beat neighbours Westmeath 1-13 to 0-10 in Mullingar.
Kildare ran out comfortable 1-16 to 0-7 winners against Louth in Newbridge.
DIT beat Wexford 1-12 to 0-14.
Another of the Dublin colleges - UCD - beat Carlow 0-18 to 1-12.
Wicklow were 2-14 to 2-8 winners against Carlow IT in Blessington,
At Parnell Park, Dublin ran out 1-12 to 1-5 winners over Maynooth University.
In Ulster's Dr McKenna Cup, there were 3 red cards at the Athletic Grounds - two for Armagh and one for Tyrone where the Red Hand County beat the Orchard men by 1-12 to 1-10.
Rory Gallagher's experimental Donegal side went down 1-16 to 0-8 to Derry.
Cavan were 2-11 to 1-9 winners against Down at Páirc Esler.
A much-changed Fermanagh side beat Queen's 1-13 to 0-9.
Finally, Antrim were narrow 1-7 to 0-9 winners over St. Mary's.
Final scores
O’Byrne Cup round 1
Dublin 1-12 - 1-5 NUI Maynooth, Parnell Park
Offaly 2-12 - 0-9 Laois, Tullamore
Kildare 1-16 - 0-7 Louth, Newbridge
Carlow 1-12 - 0-18 UCD, Dr Cullen Park
Westmeath 0-10 - 1-13 Meath, Mullingar
Wexford 0-14 - 1-12 DIT, Gorey
Wicklow 2-14 - 2-8 IT Carlow, Blessington
McGrath Cup preliminary round
Waterford 1-16 - 2-7 UL, Carriganore
Cork 7-20 - 0-4 Mary I, Mallow
McKenna Cup round 1
Down 1-9 - 2-11 Cavan, Pairc Esler
Derry 1-16 - 0-8 Donegal, Owenbeg
Fermanagh 1-13 - 0-9 Queen's, Brewster Park
Armagh 1-10 - 1-12 Tyrone, Athletic Grounds
Antrim 1-7 - 0-9 St Mary's, Creggan
Connacht FBD FL round 1
Mayo 1-13 - 1-11 NUIG, MacHale Park
Roscommon 0-14 - 0-5 IT Sligo, Strokestown
Leitrim 3-17 - 1-7 GMIT, Cloone
Sligo 0-5 - 0-14 Galway, Enniscrone