The first issue to address is why one eye is more protruded than the other. The cause will dictate what can be done.
If the problem eye is the one that protrudes, then causes may include thyroid disease, orbital inflammatory disease, or orbital tumor. You would need a CT of the eye orbit to differentiate between these. If the condition is inflammatory disease, then treatment with steroids may shrink the inflammation and make your eyes equal. If the cause is thyroid disease, then treatment with thyroid medications or steroids may accomplish the same. If not, there is a surgery called orbital decompression that can debulk the fatty tissue behind the eye to cause it to retract back again. If the cause is an orbital tumor, then the treatment may call for excision of this tumor.
If the problem eye is the one that is sunken in, this may be caused by an injury to the eyesocket that broke the bone underneath the eye (called an orbital blowout). The eye then sinks because that bone no longer holds it up. This causes that eye to appear sunken (and likewise may cause the other eye to appear protruded). The surgical solution to this is to repair the orbital fracture.
Again, the first thing is to diagnose the cause of your eye's protrusion (or sunkenness).
Hope this helps.
You should go see an ophthalmologist who can make the diagnosis of the cause. Usually for surgery, you will probably be referred to an orbital surgeon (who is an ophthalmologist specializing in surgery of the eye socket).
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