The Donegal TD, Charlie McConalogue will be hopeful of securing one of the seven ministerial positions for the party that will be announced by Michael Martin later today.
The Fianna Fáil Leader will be formally elected as Taoiseach later as a new Government forms, almost two months on from the general election.
The Dáil will sit at 11am with Cabinet Ministers to be appointed across the afternoon.
Once he receives his seal of office from President Michael D Higgins, Micheál Martin will start appointing his Cabinet.
Martin has seven roles to offer his own party - Jack Chambers, Darragh O'Brien and Norma Foley are seen as
Certainties to secure positions.
Former Minister for Agriculture, Charlie McConalogue, Mary Butler, James Browne, Dara Calleary, Thomas Byrne and Jim O'Callaghan all likely to be considered for the other roles.
On the Fine Gael side Simon Harris, Helen McEntee and Paschal Donohoe will all return to Cabinet - with Patrick O'Donovan and Peter Burke also heavily favoured.
That leaves him two spaces for promotion to a full ministry - Jennifer Carroll MacNeill, Martin Heydon, Hildegarde Naughton and possibly Alan Dillon are in the frame for the remaining positions.