If you have noticed that a patch of eczema is infected below your eye, it is important to seek medical advice. It is recommended to visit a pharmacy to show the lesion to a pharmacist who can assess the situation and provide guidance on the next steps. In the meantime, practicing good hygiene by washing the affected area with a mild soap, washing your hands frequently, limiting the use of cosmetic products, and avoiding touching your face can help prevent further irritation. It is best to seek professional advice as soon as possible to address the infection and promote healing.