Freezing rain will melt and freeze snow. One of the most widespread deep south winter storms, January 2011, my end result was a white ice pack that was about 3-4 inches deep, with a glaze on top. This was almost glacier like. I do not remember if whether we had sleet, but we started with snow (perhaps sleet was mixed in but I don't know as I was asleep). I remember looking outside early in the morning and it was like a white rain was falling (snow is quiet, and this was not nearly as quiet but it wasn't loud enough to make me think it was sleet) and I think now that I was looking outside when we were changing over to freezing rain.
I think I almost slipped on the makeshift ramp going out of my house later this day and my dad did slip. It took over a week for this glacier like stuff to fully disappear. We never lost power despite this being a mixed bag storm. In the historic ice storm a few years later, my parents said they lost power for a week (as soon as my grandparents power was on, they left and stayed with them on the other side of town, they had lost power themselves but were in a better area and had Georgia Power, unlike home).