To dream of snow represents your reservations and reluctance to deal with certain issues and situations. Instead of keeping these feelings hidden, you need to communicate them effectively. It is also possible that you are feeling 'left out in the cold' and others are ignoring you. If the snow is melting then it implies that you accept and understand your emotions and have found a way to express them. You are managing to work through your hardships and problems.
To see dirty snow in your dream implies that you have reached a new level of maturity. You no longer hold the opinions and beliefs that you did when you were younger. Your life has been drastically altered in a negative way.
To dream that you are watching the snow fall symbolizes a new beginning and a change in your outlook. It means that you feel calm and serene.
To dream that you are playing in the snow implies that you are feeling overworked and requiring some rest and enjoyment.
To dream that you find something in the snow indicates that you are seeking to develop your hidden possibilities and skills. Perhaps you have discovered that you have an aptitude for a certain skill. It may also suggest that you need to absolve yourself or someone else of a transgression.