If your 7-month-old baby has been experiencing a runny eye with pale yellow discharge for the past 2 days, it may be a sign of an eye infection. You can try using warm compresses several times a day to help alleviate any discomfort. If there are no other symptoms present and the eye continues to run in 2 days, it would be advisable to seek advice from a pharmacist who can suggest the appropriate treatment or recommend a visit to a doctor if necessary.