Mayo will begin their qualifier campaign against Derry, while Donegal host back-door experts Longford.
The All-Ireland Football Championship round 2A qualifiers draw was made on Monday morning, pitting four beaten provincial semi-finalists against Saturday's four first round qualifier winners.
Mayo lost their their second Connacht semi-final in a row against Galway the weekend before last, and they host a Derry team who had seven points to spare against Waterford on Saturday.
Mayo manager Stephen Rochford will be looking for salvation from the qualifier route, as was the case in 2016.
Rory Gallagher's Donegal team will look to recover from their heavy beating against Tyrone on Sunday, against a Longford team who impressed over the weekend against Louth in the first round of the qualifiers.
Meath will hope for a positive response from their defeat to Kildare, against Sligo in Navan. Sligo had too much for Antrim on Saturday.
Laois, who were fortunate to see off Wicklow in the first round, host a Clare team looking to build on their first half showing against Kerry in the Munster semi-final.
All the games are scheduled for the weekend of July 1st/2nd. Times and venues will be confirmed on Monday afternoon.
The draw for the first round of the hurling qualifiers will take place on June 26th.
All Ireland SFC Qualifiers Round 2A
Meath v Sligo
Mayo v Derry
Laois v Clare
Donegal v Longford