The Met Office is warning that as the snow eases, ice is expected to become the main hazard over the weekend and yellow warnings have been issued. A yellow warning means be aware that severe weather is forecast and plan ahead to take account of possible travel delays or disruption.
Frank Saunders, Met Office Chief Forecaster, said: "Although some further slight snowfalls are likely, with 1 to 2 cm of fresh snow in a few places, the focus switches to ice, with temperatures staying below zero over snow cover for many areas.
"The public should be aware of the risk of localised disruption to transport during this spell of wintry weather."
The weekend will see less severe conditions but further outbreaks of sleet and snow are possible on Sunday.
Road conditions have improved throughout the day with all the main routes passable with care.
Higher parts of the county, on Dartmoor and especially Exmoor, are however still experiencing some difficulties, as well as the A39 Lynton to County Gate, and highways teams are working hard to improve those situations.
Gritters are out on most main routes tonight and again tomorrow morning, as road temperatures are set to fall below freezing.
Icy conditions are expected, particularly in the northern and eastern parts of the county.
Motorists are being reminded of the following advice:
• Avoid overnight travel unless absolutely essential as roads will always be more hazardous at night with less traffic and colder temperatures;
• Never assume a road has been salted. Remember that showers or rain will wash salt off roads leaving them prone to ice, and in extreme cold even salting will not stop ice from forming;
• Allow additional time for your journey and reduce your speed;
• Drive with care and according to the conditions;
• If you have vulnerable or elderly neighbours, think about how they could possibly be helped through the cold spell;
• Listen to local radio for updates on current weather conditions.