Around 11.5% of mobile customers are experiencing some level of degradation to their service following Storm Éowyn, according to the latest figures.
The figures also show that 3% of customers currently have absolutely no service.
The north and west of the country are most affected in the aftermath of Storm Éowyn.
Uisce Éireann said around 31,000 people remain without water supply.
The effect on national telecommunications was the largest in the Commission for Communications Regulation's (ComReg) history, the Government said in a statement.
Restoration work is under way and "several operator networks have been returned to normal service levels", the statement read.
Calls to emergency services are expected to "function as normal nationwide", it said, adding that ComReg is monitoring the situation and liaising with operators.
It said there will be further updates over the coming days.
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Meanwhile, An Post said 20 of its offices remain without power following the storm.
It said social protection payments can be collected in neighbouring post offices in some areas.
An Post added all payments due today or tomorrow are ready for collection, and payments which were due to be paid last Friday, or yesterday, are waiting to be collected.
The service added letter and parcel deliveries and collections are "back to normal" except in areas where roads remain blocked.
As many rural communities continue to cope with the storm's aftermath, community hubs have been set up to assist people in 17 local authority areas.
The hubs will support people with "basic needs such as water, hot food, phone charging, broadband access, shower and clothes washing facilities".
There are 143 set up in total, in counties Cavan, Cork, Donegal, Galway, Kerry, Laois, Leitrim, Limerick, Longford, Meath, Monaghan, Offaly, Roscommon, Sligo, Westmeath, Wexford and Wicklow.
