Is there a procedure to reduce the size of my eyes? (photos)

The eye socket is like a small room that is packed with tissue: the eye, eye muscles, fat, nerves and blood vessels.If the room is too small, the eye protrudes from the front of the room. There are two ways to counteract this: 1. Make the room bigger:  This is a bony orbital decompression whereby you can expand the orbit by removing bone from one or more of the walls of the room.This is sounds scarier than it is. Its an outpatient procedure.2. Take tissue out of the eye socket to allow the eye to sink back in. The only tissue that can be safely removed is orbital fat.An experienced orbital surgeon may choose one or both of the options above depending on the amount of decompression is needed. As with any surgery, there are some risk. The main risk in decompression is double vision due to creation of an imbalance between the muscles that move the eye. The risk changes depending on how many walls are decompressed but ranges between 3-20%.A lateral decompression seems to be the safest in that it creates the smallest risk of double vision [less than 5%]I would recommend an in person consultationGood luck

You may be a candidate for cosmetic orbital decompression, which sets the eyeballs back. This is an outpatient procedure.  Sometimes filling around the eyes can be complimentary as well to reduce the appearance of bulgy eyes. 

I suspect that a significant contribution to the appearance you don't like is related to the underlying boney skull anatomy. In your case (and evaluation is limited to this one picuture), it appears likely that the boney orbits are somewhat small and the midface (cheekbones) are relatively posterior (back) and small relative to your brow bones. A combination of midface augmentation (fillers or implants and/or midface elevation) along with a possible boney orbital decompression may give you more what your are looking for.