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My baby has small red bumps at the corner of an eye and the nose.

It is recommended to apply a non-perfumed moisturizing cream such as Base Glaxal on the affected areas, avoiding the eye area. You can also use a mild soap-free cleanser for babies. Monitor the redness and if it becomes pus-filled or crusty yellow, it would be advisable to consult a healthcare professional. Additionally, you may consider using a hydrocortisone cream of 0.5%, but be careful not to apply it around the eyes.