To see a snow globe in your dream signifies your desires for peace and serenity. Consider the scene depicted inside the snow globe and the corresponding significance. The dream may indicate that you are longing for some aspect of your past. 

To dream that you are inside the snow globe suggests that you are feeling stuck in your life. You feel that you are in a rut doing the same thing and going to the same places. Alternatively, the dream means that you are not expressing your emotions. You are keeping too much inside and as a result, you are feeling trapped.