It seems that ice compress is better for pink eye. Pink eye is also called conjunctivitis in medical terms. It might be caused by bacterial, viral infection or allergies. Pink eye is the most common symptom of conjunctivitis. The treatment varies according to different types of conjunctivitis you got. As to viral conjunctivitis, there is no special treatment usually. As to bacterial infection and allergy, your doctor might prescribe some medication for you. You can adapt some home remedies to speed up the recovery. Ice compress is one of them. Generally speaking both warm and cold compress are commonly used home remedies. Cold compress is suitable for some acute eye disease or period, which can help reduce swelling and pain. As to some chronic eye disease, it seems that warm compress is better because it could help circulation around the inflammation area, relax muscles and speed up the absorbing of inflammation. As to cold compress, it should be controlled in 30 minutes each time, 4-6 times per day. While warm compress should be 5-10 minutes each time, 3-4 times per day.