Met Éireann has forecast "a cold and blustery day with sunshine and scattered showers, some wintry", with minimum temperatures of -1 to +3 degrees.
The national forecaster states: "showers will become widespread across the country overnight and will turn increasingly wintry with some falls of sleet or snow."
These cold conditions are likely to continue into next week with minimum temperatures of -2 to +3 degrees and widespread frost anticipated.
On Tuesday, precipitation is expected to become increasingly isolated.
By Wednesday, temperatures are expected to increase again, as Met Éireann states:
"Current indications suggest it will turn less cold by mid-week but remaining unsettled with spells of wet and windy weather spreading from the Atlantic."
The weather today and tomorrow will be mild, with a few patches of drizzle.