Meetings are taking place in Government Buildings ahead of an anticipated Cabinet decision later on supports for hauliers and those in the agri-food sector.
The Government party leaders have also been updated by the Minister for Justice on the garda operation to clear protests over the last number of hours.
It comes ahead of a Cabinet meeting this evening to discuss supports for hauliers, farmers and the fishing sector.
Separately, Sinn Féin is to table a no confidence motion in the Government next week.
The party met this morning and accused the Government of not listening to the public and not accepting the scale of the crisis.
It added that this evening's announcement will amount to nothing more than half measures.
Cabinet meetings on Sundays are rare and almost always happen at a time of crisis.
The Government seeks to take the temperature down a good few notches after days of protests that reached far into the workings of the economy.
Direct support for hauliers along the lines of what was in place during Covid-19 pandemic could be signed off by Cabinet this evening.
An extension of the diesel rebate scheme beyond June is also seen as likely.
There are expected to be measures for farmers and the fishing sector too, particularly in the area of credit lines and cash flow.
On the question of further cuts to excise duty on fuel and oil, the Government remains in contact with the European Commission to see if there is the flexibility to do this.
The protests have rolled into a sixth consecutive day, with spokesmen calling on the Government to take urgent action to reduce fuel costs which they say are at unsustainable levels and will lead to people going out of business.
The coalition is expected to sign off on fuel-cost measures, but it remains to be seen if it will convince protesters to call off their actions before the return of schools tomorrow adds to pressure on the roads.
Read more:
Live: Updates as they happen
O'Connell Street expected to fully reopen within hours after garda operation
Ireland beginning to 'claw back' fuel supply - Fuels for Ireland
'We came to make a point, and we've done that' - Foynes protester
No confidence motion in Government being tabled
Aontú has also called on all opposition parties to back a motion of no confidence in the Government.
Meanwhile in a statement, Independent Ireland said it will support the proposed motion of no confidence in Government.
"This Government has failed to listen and failed to address the concerns of people across Ireland. This is not limited to hauliers, farmers, and contractors, but extends to hard-working people throughout the country who continue to struggle under the policies of this and previous governments," it said.
Separately, Social Democrats leader Holly Cairns said the party would also support the motion.
"These protests are a manifestation of how desperate many people feel as costs continue to soar - not just for fuel, but for everything in this country," she said.
"People are increasingly struggling to pay for the basics - food, energy and housing - and the Government is just not listening to them. They are out of touch and out of ideas.
"All of the indications now are that the support package, being considered by the cabinet later today, is going to exclude huge numbers of people who are under significant pressure."
Ms Cairns said the Social Democrats have demanded that the Government introduce a targeted €400 energy credit, as well as other support measures.
