Redness and yellow discharge from the eye in a 36-day-old baby can be caused by blocked tear ducts, a bacterial eye infection, irritation, or newborn conjunctivitis. In small babies, sticky yellow discharge may collect repeatedly because tears do not drain properly, and the eye can appear red or watery. Eye infections in newborns should be assessed carefully because babies at this age are very sensitive to infections. Cleaning the eye gently with sterile cotton or clean gauze dipped in lukewarm boiled water may help remove discharge safely. Always wipe from the inner side of the eye outward using a fresh, clean cotton each time. Avoid using over-the-counter eye drops without pediatric advice because some medicines may not be safe for newborns. A paediatrician or eye specialist may prescribe antibiotic eye drops or ointment if infection is confirmed. Gentle tear duct massage may also help if blockage is contributing to the discharge. Seek urgent medical care if swelling increases, fever develops, the baby feeds poorly, or redness spreads rapidly.