Motorists are being warned of "treacherous" road conditions as snow turns into ice across parts of the UK...
Hundreds of schools across England and Wales will be closed on Monday as the wintry conditions persist.
Efforts have continued overnight to reconnect power to thousands of homes cut off after snow and high winds affected supplies.
Temperatures have been between -1C and 1C in built-up areas, but as low as -10C in more rural areas.
The Met Office has issued yellow weather warnings of ice for Wales, the Midlands and the South East.
It also warned of more wintry showers and icy conditions across the west of Scotland and Northern Ireland until 12:00 GMT.
There is also the risk of up to 5cm of additional snow on higher ground in Kent, Sussex, Surrey and Hampshire, but it is not expected to settle at lower levels.
The Met Office said: "Some injuries are possible from slips and falls on icy surfaces and there will probably be some icy patches on untreated roads and cycle paths."
The RAC has predicted 11,000 breakdowns on Monday, which is 20% higher than the seasonal norm.
This follows the AA reporting a 40% increase in call-outs on Sunday after up to 30cm (12in) of snow coated parts of the country.
AA president Edmund King said he witnessed numerous crashes on Sunday as drivers were "caught out" by the icy conditions.
"Drivers do need to adjust more to the conditions by slowing down and keeping a good distance," he said. "Winter tyres also help drivers to keep a grip."
Pete Williams, the RAC's road safety spokesman, said: "I think the big thing is people are not going to leave enough time.
"Journeys will take two to three times longer. It's going to be treacherous driving conditions."
National Rail said travellers should check with their train operators before heading out.
Chiltern Railways, the Cross Country network, Great Western Railway, Virgin Trains and the West Midlands rail network will all be affected.
In Calais, hundreds of Eurotunnel passengers faced a cold wait as services to the UK were delayed overnight. The company said the wait was five hours, but some on social media said they had waited much longer.
Airports have also been affected, with dozens of flights cancelled from Heathrow on Monday after crews and aircraft were left out of position by Sunday's problems.
Passengers are being advised to check their flight's status before they set off for the airport.
Travel expert Simon Calder said 50,000 British Airways (BA) passengers were stranded at airports in the UK and around the world.
BA said additional staff were re-booking customers onto the next available flights and offering hotel accommodation.
But Twitter user Emma Hawkins said that - 20 hours after her cancelled flight - she was unable to rebook through the company's website and phone lines "are just [a] recorded message that hangs up on you".
Meanwhile, thousands of homes have been left without power after being hit by the weather.
Western Power Distribution said it had restored services in the East Midlands, South Wales and the South West, but engineers worked through the night for the 10,000 customers still without supply.
Scottish and Southern Electricity Networks also said they had brought power back to 48,000 homes, but there were still 2,900 customers without power - although they hoped to restore it by Monday morning.
More than 400 schools are closed in Wales and in Birmingham, the city council has shut all of its local authority-run schools.
Buckinghamshire County Council and Shropshire Council said the majority of their schools will shut down, 250 are closed in Gloucestershire, and there are widespread closures in Denbighshire, Worcestershire, Oxfordshire and Northamptonshire.
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