A yellow warning has been issued by the Met Office, with travel disruption expected from snow and ice.
Forecasters say there is a “good chance” of travel disruption with potential power outages.
The new warning – which affects northern England – follows a series of yellow warnings for the whole country.
Meteorologist Neil Armstrong has warned of “treacherous” travel conditions.
He said: “As the northerly air flow and cold conditions that have dominated the weather for the past few days come to an end, there is a strong mix of wintry hazards on Sunday which has resulted in more warnings.
“As this milder air from the south moves north, there is still a chance of snow, even at low levels, in the north of the UK.
Freezing rain, which is a relatively rare phenomenon in the UK, is likely to affect areas close to the Pennines and could cause some power cuts and travel disruption.
“Within the Amber Alert area, freezing rain could lead to a build-up of 2-3mm of ice on untreated surfaces, which is likely to lead to treacherous travel conditions and road closures.”
A “prolonged period” of freezing rain is set to sweep through the region on Sunday.
A Level 3 Cold Weather Alert is also in effect by the UK Health Security Agency (UKHSA) covering the whole of England and is currently in place until midnight on Sunday.
Conditions are expected to remain unsettled next week, with some strong winds and extended periods of rain.
A yellow warning for rain has also been issued for large parts of south and south-west England, as well as south Wales.
The warning is in force from late Sunday to early Tuesday, with more than 150mm of rain possible for high ground on Dartmoor, but more generally 30-80mm within the warning area.
Peter Jenkins, director of campaigns at Water UK, said: “The recent freezing weather has been very disruptive for many people.
“The last thing we want is for people to experience further disruption as temperatures rise this weekend, putting many homes at risk of burst pipes due to freeze-thaws.
“That’s why we encourage everyone to check that their water pipes are well insulated now, and follow our simple tips to protect homes from the elements.
“If you are concerned about the impact of freeze-thaw or cold weather, we encourage you to contact your water company for further help and advice.”
Dr Agostinho Sousa, consultant in public health medicine at UKHSA, added: ‘Cold weather can have serious health consequences, and older people and those with heart or lung conditions can be particularly vulnerable.
“If you already have a medical condition, you should heat your home to a temperature that is comfortable for you. In rooms you mostly use such as the living room or bedroom, try to heat them to at least 18°C if you can. Keep bedroom windows closed at night.
“Wearing multiple layers of clothing will keep you warmer than one thicker layer.”
Glasgow Airport was closed on Friday until the evacuations were cleared of snow and ice. It reopened around 11:30 a.m.
Temperatures fell to as low as -13.5°C in some areas overnight.
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