My daughter is 109 days old. Few water drops from her right eye (left eye is full ok).I used tobramycin drop & situation improved. What can I do now?

Blocked tear duct. Your daughter may have. Blocked tear duct. See your doctor and he may show you how to massage the eye to open the tear duct.
Massage. Sounds like lacrimal duct obstruction. Massage the nose bridge three to four times per day and it removes the obstruction. However if does not work by the time baby is 6 months old ( 180 days); refer to ophthalmology.
CONJUNCTIVITIS. With lacrymation. Improved with rx. Check with opth. For further concerns.