Parts of the country have been put on flood alert with rain and thawing snow expected to raise water levels.
A day of wintry weather on Friday left much of Scotland under a blanket of snow, causing travel disruption and closing dozens of schools.
Met Office weather warnings remain in place for the central belt, the north east and the Borders, where rain is expected to replace the snowfall. Dumfries and Galloway Fire and Rescue Service said it had to pump water from gardens in Stranraer.
Paul Mott, a forecaster with MeteoGroup, the weather division of the Press Association, said: "Parts of the Southern Uplands had almost 20cm of snow last night while Stirling, Kinross and the Borders had 15cm.
"The weekend will be milder with temperature highs of up to 7C, but there is some rain expected during Saturday evening and that could lead to problems in the areas where there has been heavy, consistent snowfall during the week."
David Faichney, hydrology manager for the Scottish Environment Protection Agency, said the south of the country will be worst affected by rising water levels over the weekend.
He said: "The arrival of milder temperatures will lead to a thaw of low lying snow in many places, which will result in a rise in river levels across the country. No significant flooding is expected from larger rivers, however some localised flooding may occur from surface water and smaller watercourses in Dumfries and Galloway and the Borders area where the thaw is expected to be greatest and the rainfall heaviest.
"The north and east of Scotland are forecast to experience a gentler thaw and less rainfall than the south and west of the country during this period with the risk of flooding in these areas very low."
Roads were closed and some flights from Aberdeen airport diverted to Edinburgh yesterday because of the snow. The opening show of the Big Burns Supper in Dumfries fell to the weather, but organisers said other events planned for the weekend will go ahead as scheduled.
Transport minister Keith Brown urged drivers to plan journeys during the winter weather. He said: "I would urge the public to take on board police advice about driving to the conditions, planning ahead and taking notice of travel updates. Despite the high level of service and winter treatments provided, sudden weather changes can occur and stopping distances increase tenfold when driving in snow and ice."