The ESB says "intensive work" is continuing to restore supply to the remaining customers in the North West without power.
There's still numerous pockets of outages right across the region - most notably in the Ballyshannon, Donegal Town, Collooney and Ballymote areas.
The ESB says all available staff - supported by crews from Austria, Finland, France, the UK, Germany and Norway - are working to repair faults over the course of this week.
Customers in the worst-affected areas may see their estimated restoration times on power-check-dot-ie change over the coming days.