Outbreaks of rain and sleet will extend north-eastward across Ireland on Tuesday night into Wednesday morning.
Some mountain tops in Ulster are likely to see a dusting of snow by morning, but most of the precipitation will be of rain or sleet.
Further wintry showers will spread across Ireland during Wednesday, but all areas will experience spells of sunshine.
For the final two days of the meteorological winter on Thursday and Friday, it will be largely dry everywhere with spells of sunshine.
Scattered outbreaks of light rain may affect western and northwestern counties for a time on Friday night and during the first half of Saturday, the first day of spring, but most areas will remain dry.
Temperatures will be around average for the time of year with frost in places at night.
Meanwhile, Met Eireann has put in place a Status Yellow gale warning from 8pm on Tuesday to 6am on Wednesday.
Southerly winds, veering westerly, will reach gale force at times from Wicklow Head to Mizen Head to Rossan Point and on the Irish Sea South of Anglesey.