If you have a severe eczema around your eyes and slightly around your mouth for over a month, you may want to consider using a cortisone-based product. Cortisone creams can often provide the extra help needed to get rid of eczema, especially when combined with proper hydration. It is important to consult with a pharmacist before using cortisone near the eyes, and to avoid applying it on the eyelids or in contact with the eyes. Using a milder cortisone cream for a short period of time may be effective in treating the eczema.