A Status Orange Alert will remain in place until noon today.
Many parts of Wicklow are still cut off after the heavy snow falls over the week-end.
Gardai have asked people who are snowed in to contact their local garda station.
Roads in West, North and the Uplands of Wicklow are still impassable.
Farmers are being praised in all communities for their assistance in trying to open roads especially in the Roundwood area which has been severely hit by the weather.
Mist and fog will gradually lift this morning to give a rather cold and mostly cloudy day, with patches of rain or drizzle. Later today however some bright or sunny spells will develop. Snow-melt will continue, leading to an accumulation of surface water and the ongoing risk of flooding. Maximum temperatures of 4 to 7 degrees Celsius, in near calm.
Cold tonight with a mix of cloud and clear spells and just isolated showers. Treacherous conditions will persist as frost and ice set in. Lowest temperatures -3 and +2 degrees Celsius. Mist and fog will also form in light variable breeze
Frost and fog will gradually clear on Tuesday morning to leave a predominantly cloudy and calm day, with a scattering of showers. Maximum temperatures will range from 5 to 8 degrees Celsius again in near calm conditions.
Headline: Staying rather cold this week with the risk of frost and ice by night.
Tuesday Night: Largely dry but with a few showers possible in western and northern coastal counties. Frost and ice will return where skies clear as temperatures fall to between -3 and +2 degrees. Mist and fog will form also in light to moderate, westerly or variable breezes.