Now the area around your eyes is extremely sensitive, and while things react on the rest of your body in terms of allergies at times, it is more likely to happen around the eyes, and you really should react and should get it taken care of to avoid it spreading actually too close to the eyes should you have a problem. This being said, my acne always reacts badly anyway and quite frankly bug bites for me always react badly anyway.  It’s a simple fact of life that I have come to accept.  However, I’ve never had bites or zits happen around the eyes.  I have recently seen what can happen.  A child actually who really doesn’t react to anything like that and isn’t old enough to have acne, somehow managed to get a bug bite right under each eye at the same time.  That is some crappy luck to say the least.  But cortisone wasn’t working, nothing was working.  It swelled up like nothing you’ve ever seen and even started getting around the eyes.  Now they will deal with allergies at that time and quickly, and with antibiotics, an epi shot, or something, it will go down.  But it’s something to address before it gets that bad whether acne or something else.