Around 57,000 homes, farms and businesses remain without power and tens of thousands have no broadband services following Storm Éowyn last week.
ESB Networks has said that power has been restored to 711,000 customers, down from a peak of 768,000.
It also advised customers that estimated restoration times will continue to be updated.
Eir said around 20,000 of its customers, mainly in Galway, Mayo, Roscommon, Leitrim, Monaghan and Donegal, currently do not have broadband.
Managing Director of open eir Networks Una Stafford said: “We have restored a majority of services now but there remains a significant amount of work to be done yet. We will be continuing our storm recovery into this weekend and February as we work to make our plant safe and get people connected again.”
National Broadband Ireland said 15,057 homes and businesses in rural areas are without broadband due to localised power outages and fibre breaks.
The latest telecommunications figures show around 1.5% of landline users are still without service and 5.65% of mobile users are experiencing some level of disruption to service following the storm.
The Government said the most impacted areas are in the north and west.

Uisce Éireann said that less than 800 homes and businesses across the country remain without water and supply has been restored to the majority of those impacted by the storm.
The utility said that in areas still without water, alternative water supplies will remain in place.
The Irish Farmers’ Association said there is huge frustration among farmers who are still without water or electricity in areas affected by Storm Éowyn and is calling for a Government review of what happened.
IFA Deputy President Alice Doyle said: “The Government must put a taskforce in place now, involving all stakeholders, to begin work on addressing the vulnerabilities this storm has brought to light.
“There is no doubt that the storm was a significant event, but lessons have to be learned.”
Ms Doyle added: “While the short-term target must be on restoring water and electricity, there must also be a focus on preparing better for an event like this in the future.”
The IFA Deputy President met the regional and county chairs for the organisation from Connacht this morning to discuss the continuing fallout from the storm.
IFA Connacht Regional Chair Brendan Golden said farmers are experiencing real hardship caring for their animals without power or water and “are under massive stress as are all people in rural communities” due to the impact.
Taoiseach Micheál Martin said he understands the frustration and anger of people who have been severely affected by Storm Éowyn.
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Speaking in Cork, Mr Martin said that many lessons had been learned, and these would be evaluated and implemented, the number and severity of storms of this nature were increasing and there needed to be a step change in the Government’s response to them.
The Minister for Agriculture said it will take some time to map out the full impact Storm Éowyn has had on the farming and agricultural community.
Speaking in Co Kildare, Martin Heydon said: “Coillte are assessing and mapping out the damage to the forestry estate.”
He said from the communications coming through the impact it could be as bad as Storm Darwin, back in 2014, which he said had seen 1% of the entire forestry estate in the country damaged.
“But it is, it is too early to say exactly where we’re at on that. So, it’s about that assessment. It’s about all of our farmers, horticulture growers, foresters, and fisheries as well, all reporting back in and us getting a handle on the impact that storm Éowyn has had.”
Mr Heydon said it is not yet possible to put a price on the cost of this work.
ESB Networks Regional Manager Brian Tapley said it will be next week before all customers are reconnected.
He said the company is still working on medium voltage or larger networks.
Mr Tapley added that next week it will move onto the “low voltage” network and each fault repair will only restore a “handful” of customers each time.
“Our estimate, at the moment, is the 5/6 of February for the last customers. We’re still coming across damage that we haven’t found, so that kind of means it is a dynamic situation in terms of giving accurate restoration times.”
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Speaking on RTÉ’s Today with Claire Byrne, Mr Tapley said that crews will continue working throughout the bank holiday weekend, promising “there will be no let up until the last customer is restored”.
He said generators had arrived from Poland that are being set up to work with the network and that they are being deployed where they can, but they cannot solve all the problems.
He advised those with no electricity or phone line to visit an information hub, which are being set up across the country in the worst impacted areas.
An Post said that the post office in Dunmore, Co Galway is the only one that has not reopened following Storm Éowyn.
Read more:
‘Never heard wind like it’ – farmers react to Storm Éowyn
Storm-damaged school in Conamara to move to local hall
Four generations of one family under one roof to share heat
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Storm impact is ‘devastating’ – business owner
Managing Director of Standún Clothing and Gift stores in An Spidéal and Oughterard Clíona Standún described the impact of the storm on her business as “devastating”.
Speaking on RTÉ’s News at One, she has been running the three-generation family business for 15 years.
“We’re here on the eighth day without power, and it feels to me like even though, I’ve emailed all five TDs in Galway West and they have all responded, it kind of feels like nobody is listening and nobody cares,” she said.
Ms Standún said it was “a humanitarian crisis” and a “national emergency”.

“It feels like we are just out here in Conamara on our own, and we can wait because we are not as important as people in the big cities,” Ms Standún said.
She said it was the worst storm ever experienced in Conamara.
Ms Standún said around 100 trees fell in her area.
“It was terrifying, and I suppose the reports in advance that it was going to be possibly the worst storm we’ve ever experienced had us all quite anxious,” she said.
“On Sunday the power came back in our shop in Oughterard but our system, our master till our system is in the Spidéal store, so although the shop in Oughterard has been open since Sunday, there are a lot of things that they can’t do.
“They can’t issue gift cards, they can’t accept gift cards, credit notes…so it is kind of not a full service in operation.”
Since Thursday, the shop in An Spidéal has been closed.
Additional reporting Paschal Sheehy, Pat McGrath, Juliette Gash