The leaders of Fine Gael, Fianna Fail and the Green Party meet today to try and resolve outstanding issues in government formation talks.
It's expected a programme for government can be agreed by the three parties in the coming week.
However, sticking points remain on the issues of the state pension age, transport and climate action.
Health Minister Simon Harris says Fine Gael can only sign up to an agreement they think will work.
Meanwhile it's thought the three parties involved in coalition talks will release the results of their internal party polls on the same day.
The Business Post reports they're aiming to make the announcement on or near Tuesday June 23rd.
They hope a new Taoiseach could be elected in time to appoint senators who could approve the extension of the Offences Against the State Act -- which is due to lapse on the 30th of this month.