Eyebradex Eye Ointment – Treat Bacterial Eye InfectionsEyebradex Eye Ointment 3. 5g Tobramycin & Dexamethasone for Eye Infections Eyebradex Eye Ointment is a prescription ophthalmic ointment combining Tobramycin, an aminoglycoside antibiotic, with Dexamethasone, a corticosteroid. It effectively treats bacterial eye infections while reducing associated inflammation, swelling, and irritation. Tobramycin works by inhibiting bacterial protein synthesis, eliminating the bacteria responsible for the infection.