Well, I have to say that it is kind of normal for your baby to have eye discharges, for your baby have more sensitive eyes than adults. So you do not need to worry about it. Generally speaking, when someone has eye discharge in eyes, it can be caused by the eye infection. According to some researches, eye discharges are easily caused by allergies, bacteria, makeup, and chemicals. So for your baby's situation, it may be caused by eye infection. What is why you can see the eye discharges occurring in the eyes. And at this moment, just make sure your baby stay away from bacteria. Also, you should schedule an appointment with primary care physician.