Gritters have been deployed around Southampton General Hospital to help traffic get in and out.
Local authorities said gritters had been out but ice was likely on smaller, untreated roads.
Both county councils said gritters were out overnight although some bus services are still affected.
Gritters were out overnight treating main routes but many side roads and pavements remain icy.
Devon County Council said ice was still causing a problem, despite gritters treating roads.
Gritters will be on standby throughout the night as temperatures fall in Shropshire, councils have said.
Gritters with snow ploughs were out on Northamptonshire's icy roads overnight as temperatures stayed below freezing.
Transport Minister Danny Kennedy said that gritters were on standby to deal with bad weather.
Worcestershire County Council said its full fleet of 31 gritters will be operating over the weekend.
It is hoped that the Bishop of Lincoln's blessing of the county's gritters will take place next week.
He added that snowploughing crews had worked "non-stop" overnight and the gritters had been out on Saturday morning.
BBC: 'Difficult driving conditions' after Staffordshire snow
Gritters will be out in force across Staffordshire overnight with warnings of ice for the county on Tuesday.
He said gritters ensured routes were cleared and believed staff should have tried harder to get schools open.
Lancashire County Council said its fleet of 49 gritters is ready to respond to any Met Office alert.
Staffordshire County Council said its gritters had been out overnight and through the morning treating roads across the area.
Telford and Wrekin Council said gritters had been fitted with snowploughs in a bid to keep the roads open.
The authorities said they were working to keep Hampshire on the move and gritters were out on priority routes.
Herefordshire Council said it had 15 gritters working to treat more than 500 miles of roads in the county.
The Highways Agency said it was "well prepared" for winter conditions, with 500 winter vehicles, including gritters, on standby.
Oxfordshire County Council's gritters have been fitted with snowploughs should the conditions require.
He added that gritters would be out this evening and early tomorrow morning.
Leicestershire Council said gritters had been out all weekend and over Sunday night.
East Riding of Yorkshire Council said gritters have been operating around the clock.
More than 130 Roads Service gritters have been in operation across Northern Ireland in a bid to clear the snow.
BBC: Deep snow still lying in some areas of Northern Ireland
The council said its fleet of gritters would be out throughout the night treating main roads and major bus routes.
Warwickshire County Council said it had already spread 2, 500 tonnes of salt and gritters would be out around the clock.
Devon County Council has said its gritters will once again be out overnight across the main routes in the county.
Councils in Kent said they were prepared for heavy snow over the weekend as gritters are again sent out overnight.
He said gritters were eventually sent out but it was too late to stop a number of crashes across the county.
Gritters will be continuing to work on the roads of Herefordshire and Worcestershire as temperatures are predicted to stay below freezing.
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