My Basset Hound had runny eyes and matter too. He probably has an infection that needs medicine from the vet. Also, Bassets are prone to having what I call an extra fold that can cause the fur or even eye lashes to irratate the eye. I can't remember what the surgical procedure is called, but it
basically entails making and incision near both eyes and stitched up to prevent the extra skin fold from rubbing the eye. I had this done to my Basset after my vet said that he would always have chronic eye problems unless they did this. This is a common procedure, but like I said, I can't remember what the technical term was. My Basset hasn't had any more eye problems since.
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