Scotland is predicted to see 2cm to 6cm of snow to fall over Tuesday morning, while higher areas in Northern Ireland and northern England could see up to 3cm.
It is the fourth such alert in as many days with the last warning ending at 10am on Wednesday.
And two severe flood warnings - meaning an imminent danger to life - remain in force for the River Lugg at Hampton Bishop, near Hereford.
A risk of snow is also being forecasted by the national weather service.
Conditions are expected to improve throughout the morning as temperatures rise.
"Later in the week as we go into Friday, a more persistent spell of rain is likely to affect the country".
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Met Office forecaster Marco Petagna said Sunday afternoon should see a short respite from the more stormy conditions but warned of a fresh wave of bad weather coming in overnight.
Meanwhile, the temperature plummeted to minus 4.5C at the Cairnwell in the Highlands, according to the Met Office figures, with similar lows expected today.
There could be transient snow for the higher ground in the south like the Downs.
He said another storm system would move across the whole of the United Kingdom on Sunday night with high winds, rain and snow across Scotland and parts of northern England.
Regardless of a Met Workplace climate warning for snow and ice, little or no has managed to stay round.
'These were very significant storm events, ' she said.