An Ulster University Jordanstown side featuring Donegal inter-county stars Ryan McHugh and Paddy McBrearty and Tyrone's Mark Bradley were expected to pose a stiff test at home to Sigerson Cup holders UCD and there was just a point in at the break - the visitors up 0-08 to 0-07.
However, the reigning champions ran riot in the second half, scoring a goal through Conor McCarthy as Dublin defenders Jack McCaffrey and Mick Fitzsimons helped to hold the hosts to just two more points in a comfortable 1-18 to 0-09 victory.
UCD will face UL or DIT, who meet tomorrow (2pm), in the semi-finals.
DCU are out however, after an extra-time defeat at home to St Mary's.
Roscommon's Enda Smith rattled the net twice for the favourites but Tyrone 2015 U21 winner Cathal McShane equalised late on to level at 2-10 to 1-13.
Brian Og McGilligan scored Mary's second goal early in extra-time and the visitors held on to win 2-14 to 2-13 and claim a notable scalp.
They will meet UCC in the semi-finals.
UCC needed extra time to get by IT Carlow in Carlow, Cork panellist Michael Hurley scoring the hosts goal as it finished 1-06 to 0-09 after normal time.
Another Corkman, Brian O'Driscoll got the only point of the additional time to seal the 21-time winners' progress.
UL play DIT in the final quarter-final at 2pm tomorrow.
UUJ 0-9 UCD 1-18, Jordanstown
DCU 2-13 St Mary's 2-14 (after extra-time), DCU Sportsgrounds
IT Carlow 1-06 UCC 0-10 (after extra-time), IT Carlow
UCD v UL/DIT
St Mary's v UCC
You can listen to updates from all of this weekend's big games on Saturday Sport and Sunday Sport on RTÉ Radio 1.
Live commentary on Saturday night's Allianz League games every week on Saturday Sport Extra at 7.0pm on RTÉ Radio 1.
Full highlights of the major action on League Sunday on RTÉ 2 Television every Sunday from 9.30.