Offaly will enter the Tailteann as second seeds with Laois in the third grouping.
The draws for the groups stages of the All-Ireland football championship and the Tailteann Cup will take place today.
16 counties, including Westmeath have qualified for the Sam Maguire Cup.
While Laois and Offaly and 14 more teams compete in the group stage of the Tailteann Cup.
The Faithful County were narrowly defeated by Louth in Croke Park on Sunday to miss out on a provincial final and qualification for the Sam Maguire.
Laois were thumped by Dublin in the Leinster quarter finals.
While Westmeath departed at the same stage having lost to Louth as well.