Another cold night will see temperatures fall as low as -2C as winter tightens its grip.
Warnings have been issued that cold can be a killer for vulnerable people.
Concerns were expressed yesterday for people sleeping rough during the current icy spell.
There was also concern for elderly people living alone as many individuals could be at risk from hypothermia.
"Cold weather can and does kill in Ireland, making the winter a particularly challenging period for older people in particular," said Justin Moran, the head of Advocacy and Communications with Age Action.
"We would urge family, friends and neighbours to check on any older people they know living nearby, particularly those who may be living alone or have difficulty getting out and about.
"Dropping in to say hello or a quick phone call will always be welcome."
Showers of rain, hail, sleet and snow that hit parts of the country last night will be followed today with sunny but cold and windy conditions.
There will be further wintry showers, almost all of them in the north and west.
Temperatures will get no higher than 6C today.
Tonight will be cold and frosty. It will be mainly dry with good clear spells in the south and east, but showers will continue along Atlantic coastal counties.
Tomorrow will start cold, frosty and bright in the east, but it will become cloudy in the west, with outbreaks of rain later in the day.
There will be some respite from the cold tomorrow night, and Met Eireann said it will be mild and breezy as a band of rain spreads eastwards overnight, clearing to showers by morning.
Cold conditions will return on Tuesday.
Meanwhile, as the clean-up continued yesterday after the floods in Mountmellick, there was flooding downstream, with the River Barrow causing parts of Portarlington to be inundated.
Soldiers continued to help flooded householders in Mountmellick and moved on to help residents in Portarlington, where flooding closed two schools.