Overnight: Any rain during Saturday evening should push eastwards leaving a dry story after midnight with clear spells and fairly light winds. This means temperatures could get to 1-3C in rural areas - low enough for a touch of ground frost.
Mist and fog is also possible overnight and this could be thick in places and linger through into Sunday.
Sunday: A mainly cloudy day with the best of any sunshine for The Borders during the morning. Most places with have a grey afternoon with rain developing in the west. Mild high of 10C