Pink eye is a common eye problem of baby eyes, the cause maybe a virus or bacteria. If baby has a viral infection, wait three to five days before sending her back to school, but just 24 hours if her infection is bacterial. The other common problem is blocked tear duct, as baby develops in utero, the tissue inside the tear duct sloughs off and leaves a hollow core. If that doesn't happen, the tissue remains and blocks the duct.in this case, you can use a warm, wet cloth to clean the eyes whenever you see discharge. A blocked duct usually opens on its own, and discharge lessens over time. If it hasn't completely dissipated by the time your child is 12 to 18 months, she may need surgery.