The agency said there was a “slight chance” rural communities could be cut off and power cuts may occur.
Met Office forecaster Ellie Creed said there was likely to be a “widespread” frost and possible ice forming overnight into Monday morning.
She said: “I think you could well find it’s somewhere between -5 and -7C over the Scottish glens ... but actually for lots of places maybe negative degrees, about -2 to -3C in the north, whereas some cities in the south will be hovering around zero.”
She added: “It’s a case of normal wintry hazards that we would expect – snow, ice, frost are going to be quite prevalent over the next few days.”
✕
Support free-thinking journalism and attend Independent events
It follows a windy weekend that left parts of Wales without electricity on Sunday as overhead cables were felled.
Strong northerly winds with gusts of up to 70mph pounded the west and east coasts.
The Met Office said the winds would slowly ease overnight into Monday.
Additional reporting by PA
Register for free to continue reading
Registration is a free and easy way to support our truly independent journalism
By registering, you will also enjoy limited access to Premium articles, exclusive newsletters, commenting, and virtual events with our leading journalists
Registration is a free and easy way to support our truly independent journalism
By registering, you will also enjoy limited access to Premium articles, exclusive newsletters, commenting, and virtual events with our leading journalists
Join our new commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies