Laois and Offaly were both victorious in the Leinster minor hurling championship on Saturday.
The former, who lost to Westmeath in the first round, enjoyed a 2-21 to 4-8 win over Meath at Pairc Tailteann. They will now play Wexford, who were beaten by Dublin yesterday. Meath had defeated Kildare in their opening-round fixture.
Offaly, who lost to Wexford in the opening round,had it easier at Dr Cullen Park, beating Carlow by 3-16 to 1-10.
The Barrowsiders had previously beaten Wicklow in the earlier round.