The warning reads: "Icy patches and wintry showers expected Sunday night and first thing Monday giving a few travel problems".
Poor visibility, with slippery and icy conditions, will occur at times, Met Eireann warns.
Cavan, Monaghan, Donegal, Longford, Louth, Meath, Leitrim, Roscommon and Sligo are affected, with the warning valid from Saturday 9 March at 1am through until 8am.
Cloud will increase from the south-west later today with rain arriving in parts of Munster and south Connacht towards evening.
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Western Power Distribution said the wind had left homes in Llandevenney, Usk and Magor in Monmouthshire, Tregaron in Ceredigion, and the Canton area of Cardiff without power on Sunday morning.
"We've got bands of sleet and snow pushing eastwards through the morning, and this will clear to heavy showers through the day".
The rain, sleet and snow will turn more showery overnight, but still occasionally heavy and prolonged over the northern half of the country. Lows of -1° to +2° are given.
"There's a cold north-westerly wind with gales around the coast". Rain and snow showers will become widespread over the southern half of Colorado.
Rain is forecast to arrive between 2 pm and 5 pm across the area.