It's expected the government will appoint junior ministers following a cabinet meeting today.
There's 17 roles to fill with an extra focus on the appointments following criticism of the geographical spread of the cabinet ministers.
The Taoiseach has been criticised for not picking any senior minister from the South East or from Donegal to Limerick.
Waterford's Mary Butler and Marc Ó Cathasaigh will be hoping to get the call up after the South East was overlooked.
As with the cabinet itself there are far more TDs hopeful of a call-up to a junior ministry than there are seats available.
Tánaiste Leo Varadkar has said the three parties have been working to pick them based on ability, gender and - importantly in the light of the last few days - geography.
He arguably has the hardest job - with demoted senior ministers and up and comers to keep happy.
It's thought Josepha Madigan and Joe McHugh will be among the appointees.
While outgoing Ministers of State Patrick O'Donovan, John Paul Phelan, Damien English, Paul Kehoe and Brendan Griffin are all hopeful of being retained.
Party Chairman Martin Heydon and TD Peter Burke are hoping for promotions - with Jennifer Carroll MacNeill the sole first time TD being talked about for a Junior Ministry.
Geography will play a part for Fianna Fáil - with Anne Rabbitte, Mary Butler, James Browne, Charlie McConalogue and Niall Collins hoping that boosts their chances.
Overlooked for cabinet, there's likely roles for Thomas Byrne and Jack Chambers, and also possibly Jim O'Callaghan.
Niamh Smyth, Robert Troy and Michael Moynihan are also in the conversation.
For the Greens there's likely to be appointees outside of Dublin with Marc Ó Cathasaigh, Brian Leddin and Malcolm Noonan talked about alongside Dun Laoghaire's Ossian Smyth.
It's also possible Eamon Ryan will give one of the roles to Neasa Hourigan as an olive branch after she campaigned against the programme for government.
With seven seats each for Fine Gael and Fianna Fail and three for the Greens, there will be fresh disappointments today.
Our political correspondent Sean Defoe says egos will be hurt no matter who Micheál Martin picks.
"I don't think it matters who he picks because he is going to end up annoying people such is the way of junior ministerial appointments.
"If you look across particularly Fianna Fail and Fine Gael there are more people looking for jobs than there are jobs available as was the situation with cabinet."
