Fianna Fáil and Fine Gael are reportedly reluctant to provide an Independent TD a key position at Cabinet following Verona Murphy's election as Ceann Comhairle.
Noel Grealish and Seán Canney are considered to be serious candidates for a single super junior position, which would allow them to attend government meetings but not cast votes in the Cabinet.
When he was minister for disabilities from 2016 to 2020, the then-Independent TD Finian McGrath held a same role.
Kevin 'Boxer' Moran and Marian Harkin were linked to junior ministry positions for the Independent TDs. Aontú is one of 11 TDs in the Regional Independent Group, but only a handful are ultimately anticipated to completely commit to an agreement with Fine Gael and Fianna Fáil.
Michael Lowry, the organisation's de facto leader, Mr. Canney, Mr. Grealish, Ms. Harkin, and Mr. Moran are probably included in this group.
Michael and Danny Healy-Rae are almost done reaching an agreement with the next administration on a constituency pact.
Fianna Fáil and Fine Gael see them as trustworthy allies, and they have been informed that the incoming administration needs their backing to establish a comfortable working majority.
It would be easy for the brothers to let Mr. Lowry lead the Independents in the administration.
Nonetheless, they see themselves as the new coalition's fourth pillar. There is a belief among the larger parties that a compromise with the Independents will allow the government to focus on "bread and butter issues."
Cost of living issues, carers, law and order, and business support are probably going to be the main topics of discussion.