North and northwest counties are said to be most at risk, as well as higher ground elsewhere.
A snow and ice warning has been issued across Ireland with temperatures expected to plunge below zero overnight.
The public are also warned to be aware of icy roads and footpaths.
Cavan, Monaghan, Donegal, Longford, Leitrim, Mayo and Sligo have all been issued with an orange warning from Met Éireann, the second most severe of the warning systems for conditions with the capacity to "impact significantly" on people in affected areas.
Meanwhile, a Status Yellow wind warning remains in place until for Donegal, Galway, Leitrim, Mayo, Sligo, Clare and Kerry unitil Thursday, December 7 8pm.
Met Éireann says these areas can expect occasional snow showers on Thursday evening and during Friday with accumulations of up to three centimetres in places.
The rest of the week's outlook also looks pretty bleak with the national forecaster predicting the weather will "stay very cold with wintry spells and frosty nights".
"It will be cold for the next 10 days, with temperatures hardly making it up to 10C during the day", said Mr Eagleton. Scattered wintry showers also - mainly near coasts.
Next week will continue to be cold, but with a lot of dry weather.