"Slight to moderate accumulations are possible with up to 3cm in parts".
They are forecasting north, northwest counties and areas on higher ground to be the worst affected but the entire country is at risk of snow.
A yellow warning is in place between 4am and 11.55pm on Sunday, December 10.
The wet weather today (Thursday) has been accompanied by temperatures reaching 12°C, but from tomorrow (Friday, December 8) it will feel much sharper with a maximum temperature of 3°C.
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Met Éireann forecaster John Eagleton said there is unlikely to be snow during the daytime but snow will gather on higher ground.
Tonight will be bitterly cold and windy, with clear spells and wintry showers of hail, sleet and snow expected in Ulster, Connacht and in west Munster.
"There will be no snow during the day". Minimum temperatures are expected to be between minus 2 and plus 2 Celsius, with frost and icy stretches. "Most days it will be less than 6 or 7 degrees". There may be a light dusting of snow around the country, and it may stick in places in the north and northwest.