Drivers have been urged to take extra care on the roads as the wintry weather continues to make conditions hazardous.
Up to 8in (20cm) of snow fell in parts of Hampshire and the Isle of Wight on Saturday and more could fall near the coast later, the Met Office said.
Flights at Southampton Airport were disrupted and passengers have been urged to contact their airline.
The airport was shut on Saturday morning but later reopened. South West Trains is running revised services.
Passengers are advised to check its website for the latest information.
A statement from Hampshire County Council said: "Salting of the priority one routes, which carry 85% of Hampshire's traffic, has been taking place continuously since Friday evening ahead of the snow's arrival, and throughout Saturday, so that main roads can be kept open and to help keep the town centres open for business during the final shopping weekend before Christmas.
"Main routes are now passable, however many rural roads remain difficult."
Temperatures are expected to remain below freezing, leading to icy roads.
Motorists are being urged to take extra care, to allow plenty of extra time for your journey, to avoid heavy braking, and to be well prepared for winter conditions before setting out.
The council said more than 1,000 new blue salt bins have also been placed in villages, towns and cities around the county to enable residents to help themselves to keep pavements and roads safe.