Met Éireann has said that the severe cold snap is over for now, but it could return again by the weekend.
"This week is very much a transitional week," said Evelyn Cusack of Met Éireann, warning that while mild, wet and windy weather would prevail, the sub-zero temperatures could well return next week.
Forecasters are also warning that melting snow and predicted rainfall tonight could lead to flooding in parts of the south and southwest tomorrow.
The Road Safety Authority (RSA) has issued a road safety alert to road users in counties Kerry, Cork, Wexford and Waterford amid warnings of gale-force winds and heavy rain all over the next 24 hours.
"This forecast combined with melting snow and ice will make the roads very treacherous," the RSA said in a statement..
Met Éireann have forecast heavy rain developing later tonight and continuing through much of Tuesday. Strong to gale force southeast to east winds too, with gale to strong gale force winds on the coasts. Up to 40 to 55 mm of rainfall is expected.