Motorists should expect delays and rural areas could even be "cut off" as heavy snowfall is expected tonight.
The snow could be so deep in parts, rural communities could become completely cut off, leaving thousands standed, the forecaster has warned.
Some 18,000 homes were reconnected yesterday, according to Scottish and Southern Electricity Networks.
Strong winds are also likely on Sunday and are expected to move east across the far south of the UK.
For Sunday, a spell of heavy snow is likely over parts of Wales, the Midlands and parts of Northern England.
Nicola Maxey, from the Met Office, added: "With snow in the forecast it's a good idea to keep an eye on the latest Met Office forecast and warnings for your area to ensure you're up to date with the latest situation".
A 4×4 drives across a snow-covered road in the hills above Llangollen, north Wales, on December 8, 2017, as Storm Caroline plunges temperatures across the UK.
Snowfall is forecast to continue in parts of northwest England, the Midlands and Wales, with as much as 20cm (8in) predicted in some areas as Storm Caroline drags cold air across the country from Scandinavia.
Heaviest snow showers will be confined to northeast Scotland as Saturday draws to a close. Impacts include possible travel delays on roads stranding some vehicles and passengers with possible delays and cancellations to rail and air travel.
Forecaster Steven Keates said: "This has the potential to cause quite widespread disruption to transport, power outages and isolation for some rural areas".
A snow plough in Flintshire, Wales, today as forecasters put out snow warnings covering Scotland and Cornwall An icy road in Foolow.
"South of that there will be some rain coming through and it will be quite windy, with 50-60mph gusts, so we are talking about gale-force wind and severe gales in some parts".
Meanwhile, council gritting teams are on standby to cover roads across the country as temperatures plummet for a second night.
Up to 7-12cm snow accumulation is expected for the Pennines.