Talks on government formation will continue as the parties involved seek to reach an agreement by early next week.
The leaders of Fianna Fáil, Fine Gael and the Green Party will meet TDs from the Regional Group later.
The challenging topic of agriculture is on the agenda for these talks today.
Work is still ongoing too in other contentious areas such as transport.
The details of how there would be a two-to-one split in favour of public transport and the allocation of up to 20% of spending for cycling and walking routes still have to be finalised.
Overall though, progress is being made it seems, albeit at a very slow pace.
More Independent TDs will meet the political parties involved in these talks today. They are likely to be offered an agreement that would give them access to government departments for constituency issues in exchange for their support.
However, it appears that ministerial positions or a chance to make a significant input on policy is not being offered to them.
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Later, the Cabinet will all sit around one table for first time since March when the Government meets in Dublin Castle.
Independent TD Michael Fitzmaurice has said that members of the Independent group would not be granted access to negotiating a programme for government, during government formation talks.
Speaking on RTÉ's News at One, the Roscommon-Galway deputy, who was among the TDs who met the three parties, said he thought "a lot of bridges need to be crossed" before a programme for government is agreed upon.
Mr Fitzmaurice said that "a lot more difficult decisions have yet to be made, on agriculture and on finance."
He said Independent TDs were told that negotiating teams hope to have the programme for government by the weekend, but added: "I wouldn't be so sure about that".
"I asked if we would get a chance to be involved in the negotiating but they said the three parties was large enough to be negotiating and there would see difficulties in adding any more people to the negotiations," he said.
Mr Fitzmaurice said a document submitted by the Independent group to negotiating teams made it clear what was required regionally and nationally.
