Blackrock secured top spot in Group B with a rampant performance to see off Newtownshandrum at Mallow.
Early goals from Tadhg Deasy and Alan Connolly put the Rockies into an early 2-4 to 0-1 lead, but two Jamie Coughlan goals for Newtown meant it was 2-10 to 2-6 at half-time.
Blackrock pulled clear again, with Connolly finishing with 1-11 and Deasy 1-6.
Second place in that group will be determined by the Newtown-Erin’s Own game in three weeks.
On Saturday, Erin’s Own came from behind to see off Bishopstown.
Ronan Twomey scored 1-2 and Eoghan Murphy seven points as they came from seven points down to win 1-16 to 1-14.
In Sunday’s other game, Na Piarsaigh eliminated St Finbarr’s from Group C with a 2-23 to 0-17 victory at Páirc Uí Rinn.
Shane Forde hit a second-minute goal to help Na Piarsaigh lead by 1-12 to 0-11 at half-time and Forde struck again in the second half.
The result means Na Piarsaigh will play group leaders Glen Rovers in three weeks knowing that a win would give them top spot.
The Glen edged past Carrigtwohill 1-18 to 1-16 in Cobh on Saturday.
Conor Dorris scored 1-5 for last year’s beaten finalists, while Patrick Horgan contributed eight points.
In Group A, Sarsfields ensured they can’t be topped as they beat Douglas 4-15 to 1-22.
Jack O’Connor (two), Liam Healy and Daniel Hogan got the goals, but Shane Kingston grabbed 12 points for Douglas while Alan Cadogan scored 1-4.
They now face Midleton in what is effectively a quarter-final play-off.