When the temperature drops below 32 degrees (Freezing) dogs can get frostbite just like us humans. Frostbite is tissue damage that can occur in extreme cold. Dogs are at risk once the temperature falls below 32 degrees Fahrenheit. Just like with humans, frostbite is a dog’s natural process where blood is redirected from the body’s extremities to vital organs when there is a drop in body temperature. Areas that are furthest away from the heart such as the tail, ears, nose, and paws will experience a drop in blood flow, and this can cause tissue damage. (AKC.org). Obviously some cold weather breeds are less prone to this
Dogs rarely get a cold like us rather when they develop sneezing and sniffles the chances are it is a more serious illness and you should consult your vet.