The best way to prevent puffy swollen eyes after sun exposure is to avoid exposure again. To keep a wonderful condition of your eyes is very important for your health. I heard that, the strongly rays will stimulate your visual system till its disorders. Anyway, to solve your problem now is use a towel which soaked full of cool water then apply it to your eyes, doing massage around your eye socket and your temple as well as your eyebrow. If possible, you can wear sunglasses and avoid sunlight damage, the blemish balm cream adopt around your eyes will be helpful in a short time.