At least 3,500 people are still without broadband after Storm Éowyn, according to figures from communications regulator ComReg.
In a statement, ComReg said: "As of the 18th of February, a total of 3,501 fixed users are still affected which is 0.02% of the national user base for fixed communications.
"Mobile phone services have been restored to affected areas."
A fixed user is a customer with a broadband connection, a landline or both.
Meanwhile, Eir is working to reconnect broadband users who have been without since 24 January when Storm Éowyn made landfall in Ireland.
The hardest hit counties are Galway, Mayo, Roscommon, Leitrim, Monaghan, Westmeath, Longford, and Donegal.
"Eir is making significant progress in restoring broadband services following Storm Éowyn, the most severe weather event ever to impact Ireland's telecommunications network," Eir said in a statement.
"The scale of disruption is unprecedented," it added.
After the storm, 270,000 Eir customers were without broadband.
Of the remaining faults, Eir said they are all estimated to be fixed within ten days.
"In the most severely affected areas, repairs may take longer due to the complexity of damage."
Eir has also dispatched mobile broadband devices to more than 1,000 customers as an interim solution while they wait for their connections to be fixed.
"Unlike electricity outages, telecommunications faults often only become apparent once power is restored," Eir said.
"As customers report individual broadband issues, our engineers are responding rapidly, prioritising vulnerable customers. Each broadband fault requires an on-site visit to assess and resolve the issue."
The effect of Storm Éowyn was the largest in ComReg's recorded history.
Peak loss of fixed service uses was 10% nationally.
While peak impact to mobile service was 35%, this includes some level of degradation.
All mobile services have been repaired and restored.