A Met Office forecaster said: "Today will be another showery day, particularly across Cornwall, Devon and Somerset, with a risk of showers turning wintry over the highest moors. The best of the sunshine will be across eastern counties, but it will feel cold in the wind everywhere.
"Tonight, showers will gradually ease away, and where skies do clear, there will once again be a risk of frost and ice developing in places.
"Tomorrow will be generally rather cloudy to start, with a mixture of showery rain and perhaps some hill snow. It will be much brighter by the afternoon, with lots of sunshine to end the day."
He added: "It will be a dry and cold to start Thursday, but with strengthening winds, rain and perhaps hill snow will arrive later. It will be windy with occasional showers on Friday, but there be plenty of sunshine on Saturday. It will be staying cold."