My son had that too, from about 7 days till 8 weeks on and off. His first ped (who said she would tolerate our delaying vaxes but she would really insist on the Hib b/c of how terrible meningitis is) gave him antibiotic eye drops and said ot use them all the time. His second ped (first had an accident. This one at the 2 month visit asked if I wanted him to "give your baby a bunch of shots" and when I said no, but i understood that the Hib was particularly important, kind of looked at me funny and said, "Well, if you insist, but you realize there are only like 2 cases of it a year in the entire country.") laughed at me when I told him we needed another prescription b/c the container was done and said something like 20% of babies have it, IF it lasts up to 18 months they'll fix it by inserting a catheter down the tearduct, but up to that time, just massage.