Eva has this problem too, on and off for months. It frustrated me to no end! Because although the Dr said it wasn't conjuntivitis, some times it looked like it was, and a couple of times it did develop into it. I would frequently bathe her eye in saline, or breastmilk, and when it got worse I would treat with antibiotic eye drops (which are a pain when bubs learns to squeeze eye shut in anticipation!). Eventually I asked for the antibiotic ointment (which is a bit stronger), and at 8 months of age it seemed to finally fix the issue, and she hasn't had weepy eyes since!

I too would say to persist with bathing her eye frequently, but also take her back to the Dr if its still not clearing up.
Good luck.