A yellow warning for snow and ice remains in place on Saturday for Scotland, Northern Ireland, Wales and parts of the Midlands until 6pm, with Highland areas expected to experience 2-5 cm of snow.
Forecasters say 10-20 cm is possible for some locations and the worst areas affected mainly in northern Scotland.
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Northern Ireland, north Wales and the northwest Midlands are also likely to see snow flurries in yellow warning areas.
"Road, rail and air travel delays are likely, as well as stranding of vehicles and public transport cancellations. There is a good chance that some rural communities could become cut off," the Met Office said.
Rachel Adshead, meteorologist at Met Office, said: "Storm Caroline has sort of moved away and what we've got is a cold area which the storm has left.
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"Throughout the warning area there has been snow accumulations, but it's not just in Scotland, we've also had quite a bit of snow in Northern Ireland down in the Liverpool Bay area and we've also had quite a few snow showers across Wales."
Aviemore, in the Highlands, Antrim, Kinmel Bay, Leeds and areas to the west of the Pennines also reported coverings of snow which is expected to continue.
The Met office said icy surfaces are also likely to be an additional hazard on Saturday morning.
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Around 18,000 homes across Scotland were affected by power cuts due to the weather, according to Scottish and Southern Electricity Networks. Power returned to the majority of affected homes by Friday evening.
Dale Cargill, director of customer operations, said: "Our network generally stood up well to Storm Caroline and I would like to thank all our customers who experienced a power cut for their patience as we battled against the elements to restore their power.
"We have now returned to business as usual but we will continue to monitor conditions and are well prepared to respond to whatever other challenges the Scottish weather has in store for us this winter."
Forecasters say wintry conditions will continue into Sunday, with rain turning to snow in many central areas of the UK, and Monday will be windy with rain, sleet and snow.
Cold temperatures can be expected throughout next week as the festive season gets into full-swing.