While no more heavy snowfalls are forecast for the coming days, temperatures are to remain low.
Met Office spokeswoman Sarah Holland said: "Tonight temperatures will go down to -11C, maybe -12C in the Edinburgh area, as you get to more rural locations maybe -15C.
"As we move into Wednesday there's no more snow on the cards but very misty, freezing fog during the day. It's not going to get much above -4C on Wednesday.
"Temperatures are not as bad on Wednesday evening - around -5C or -6C - and as we move into Thursday/Friday, probably getting some sunny spells, and temperatures about freezing. There is obviously going to be a chance of snow but the main problem is going to be the ice."
All schools in Edinburgh were set to open today, except for Davidson's Mains nursery.