The weather warning comes after eight garage roofs were blown off by wind in Pontardawe, Swansea early on Sunday morning.
What is a yellow weather warning? .
Falling temperatures and wind is expected on Sunday with some wraparound snow showers.
Scattered thundery showers of hail, sleet and snow expected during the period.
"That is likely through the early hours of the morning towards dawn as this system moves away into the North Sea". Some will be wintry with falls of sleet, snow or hail over the northern half of the country, especially on high ground.
On Saturday morning, spells of rain will continue in Uster. However, persistent rain will develop in the southwest in the late afternoon and spread over Munster and south Leinster.
The rain, sleet and snow will turn more showery overnight, but still occasionally heavy and prolonged over the northern half of the country. Cloud will thicken from the west later as winds freshen.
Tomorrow will be a cold and raw day with widespread blustery showers, according to Met Eireann.
"We're due further wintry showers in some parts of Ulster".
Preston is being told to prepare for a snowy and icy Sunday evening.
Highest temperatures will be from 4 to 7 degrees with fresh, gusty westerly winds, strong in coastal areas.
"It is going to be very windy most of the time and also very cold", she said.