Both of my boys had blocked tear ducts. The breast milk and wiping with a wet cotton ball will help get the gunk off easy. I was told to massage with light pressure from the corner of the inner eye down the side of the nose a couple of times a day to help unblock the duct. I'm not sure if that worked or if it was the fact that Angus had a growth spurt but one morning it was cleared up like it had never been blocked!