Around 180,000 premises remain without power while 74,000 people are without water as clean-up and restoration operations continue in the wake of Storm Éowyn.
ESB Networks said around 180,000 customers are still without power, and that the vast majority of those impacted by the storm will have their power restored by Friday.
However, it said that for the remaining customers, "these will progressively have power restored over the course of next week - this could be as many as 100,000 customers".
It said crews have been deployed from Dublin and southern counties to help with the restoration of power to homes, farms and businesses in the northwest, west and north midlands.
The electricity operator said crews had restored supply to 564,000 customers with power outages peaking at 768,000 on Friday morning. Around 65,000 customers remain without power in Northern Ireland.
Northern Ireland Electricity has warned that it could be 3 February before all properties are reconnected.
Crews from Britain have been deployed to the worst impacted areas while crews from Austria, Finland, Netherlands and France will also be coming to Ireland to help restore power.
The Government has said 16 emergency response hubs are already up and running across the country.
They are in Cavan, Cork, Donegal, Galway, Laois, Leitrim, Limerick city and county, Longford, Meath, Monaghan, Offaly, Roscommon, Sligo, Westmeath, Wexford and Wicklow.
The National Emergency Co-ordination Group said the hubs will support people with "basic needs such as water, hot food, phone charging, broadband access, shower and clothes washing facilities".
Its chair Keith Leonard said the group met earlier and that the priority for the emergency response is to reach out to vulnerable people impacted by the storm.
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Mr Leonard also said there will be a review of the response to Storm Éowyn and the "unprecedented winds" experienced.
He said the review will include a look at the emergency infrastructure including the availability of generators.
Mr Leonard said essential services across the country are looking for generators and that they are "difficult to obtain at this point".
He said Uisce Éireann is moving generators to the north of the country from areas that have had power restored.
Uisce Éireann said around 74,000 people remain without water supply following Storm Éowyn last week.
A further 70,000 people are at risk of losing supply, it said, in areas where treatment plants do not have power but reservoirs still have stores of water.
Margaret Attridge of Uisce Éireann said the worst-affected areas are the west coast from Clare through Galway up to Donegal and across to Cavan, Monaghan and Meath.
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Galway is the worst-affected county with 22,000 people without water.
Ms Attridge said most people should have supplies back by the end of the week.
Eir said some 77,000 homes and business remain without broadband while Vodafone put its figure at around 30,000 customers without broadband service.
Meanwhile, Minister for Enterprise Peter Burke said he will bring a proposal to Cabinet to make further supports available to people and businesses impacted by the storm.
Mr Burke said that a memo would go through to ensure there is funding for people.
He added that social protection staff are on the ground and assisting people at the direction of local authorities.
Mr Burke also said he had asked the Companies Registration Office for leniency as a lot of businesses were required to file accounts at this time.
He said the Government was also working to ensure businesses had what they needed.
Sinn Féin leader Mary Lou McDonald has written to the Taoiseach urging him to immediately reconvene the Dáil to address the crisis facing the country in the aftermath of Storm Éowyn.
The Social Democrats also called for the Dáil to sit again, saying it is "critical that the Dáil sits this week so that the destruction that has been caused in so many parts of the country can be discussed".
Minister for Social Protection Dara Calleary earlier said he understands the frustrations of those people who are waiting for electricity and water supplies to be reconnected and lessons will be learnt from this experience.
