For the area just outside of the eye, the most commonly used term is periorbital.
If your referring to the part of the the eye actually sits in, it is called the Orbit.
Extravascular means outside the blood vessel.
Strabismus is the medical term meaning misalignment of the eyes.
The lateral canthus is the medical term for the outside corner of the eye.
eyes (ocular/oculi) ears (auris)
Extrahepatic means outside the liver
Extracorporeal
Supracostal means above or outside the ribs.
The exoskeleton would mean outside the skeleton.
An injection into the epidural space of the spine.
Bart syndrome is the medical term used to describe absence of skin. The disease is inherited by autosomal dominant transmission.
Maybe you're allergic to something or have hayfever or an eye infection. Maybe you need glasses. Go and see the doctor
Esotropia is a medical term for the condition commonly called cross-eye, in which one or both eyes point towards the nose.