There is also a risk of coastal flooding.
Met Éireann has issued three weather warnings, affecting the entire Republic of Ireland, as Storm Gareth prepares to make its presence felt.
The Met Office has extended its "danger to life" weather warning as the United Kingdom braces for Storm Gareth.
A status orange wind warning has been issued for Donegal, Leitrim, Mayo and Sligo.
Storm Gareth is expected to hit the United Kingdom on Tuesday, bringing wind speeds up to 80mph and heavy rain.
The Met Office also warned gusts could reach 80mph along northern coasts.More news: Popular support for militants complicates Pakistan crackdown
More news: Kamaru Usman beats Tyron Woodley to become first African-born UFC champion
More news: Univision Team Released from Detention, Deported from Venezuela
Meanwhile, there is also a rain warning for Connacht, Donegal, Clare, Cork, Kerry and Limerick.
That weather alert will come into effect at noon on Tuesday, and remain in place for 24 hours.
TuesdayBrightening up after a cloudy start tomorrow, Tuesday, with occasional showers, some of them heavy with a risk of hail and thunder.
On Saturday rain and hill snow will begin to clear and give way to heavy showers.
During those yellow warning periods, there could be gusts of 60-70mph across Northern Ireland, while England could see winds of between 50-55mph and 60-65mph in coastal areas.
A statement on the forecaster's website said: "An area of rain, sleet and snow, accompanied by gusty winds will continue slowly eastwards across northern Scotland Sunday afternoon and evening".
The overnight snow comes as an active jet stream from the Atlantic hurtles directly across the United Kingdom bringing strong winds, torrential downpours, and sleet.