Kilkenny versus Limerick is the pick of the All-Ireland hurling qualifiers as all the top-tier sides were kept apart in this morning's round one draw.
All-Ireland hurling champions Tipperary, beaten by Cork in the Munster quarter-final will face Westmeath.
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Waterford, also beaten by Cork, travel to Offaly while Dublin will host Laois.
That means there could be three of last year's All-Ireland semi-finalists in the second round if Tipp, Kilkenny and Waterford all win.
All-Ireland SHC qualifiers round 1 draw - all games Saturday July 1
Offaly v Waterford, O'Connor Park, 3pm
Tipperary v Westmeath, Semple Stadium, 5pm
Dublin v Laois, Parnell Park, 7pm
Kilkenny v Limerick, Nowlan Park, 7pm
The draw for round 2B of the football qualifiers has also been made with winners from round 1B facing beaten provincial semi-finalists.
Westmeath will be aiming to bounce back from Sunday's heavy defeat to Dublin when they host Armagh while Wexford manager Seamus 'Banty' McEnaney will aim to plot the downfall of his native Monaghan.
Carlow and Leitrim will meet in an all-Division 4 clash, while 2016 All-Ireland semi-finalists Tipperary travel to Cavan.
All-Ireland SFC round 2B qualifier draw - all games Saturday July 8
Cavan v Tipperary, Kingpspan Breffni Park, 2pm
Wexford v Monaghan, Innovate Wexford Park, 3pm
Carlow v Leitrim, Netwatch Cullen Park, 3pm
Westmeath v Armagh, TEG Cusack Park, 7pm
Meanwhile, it has been confirmed that Saturday's Round 2A qualifier between Mayo and Derry will be live on RTÉ2.