A snow and ice warning has been put in place for Wicklow, Donegal, Leitrim, Mayo and Sligo from 10pm on Tuesday to 11am on Wednesday.
Met Éireann said the counties covered by the status yellow warning could expect to see wintry showers, icy conditions and snow accumulations.
Temperatures are expected to fall to as low as -1 degrees with winds making it feel even colder as a polar air mass moves across Ireland.
Counties unaffected by the warning can expect cold and blustery conditions over the days ahead with the risk of showers of hail.
In its weather report for March, Met Éireann said dry and settled weather seen at the end of February broke at the beginning of the month and led to wet and windy conditions.
Storm Freya in early March caused heavy rain in Munster and Leinster which turned to snow in some places while the northwest was hit by Storm Gareth as it moved close to Atlantic coast in the middle of the month.
Rainfall in March was above normal with the number of rain days ranging from 17 at Roche’s Point in Cork to 26 days at Finner in Co Donegal.
Temperatures were above their long term average for the month with the highest temperature reported in the Phoenix Park on March 20th (17.7 degrees), which was 6.9 degrees above the long term average.