How Can I Get Rid of Blood in my Eyes After Rhinoplasty?

It is not uncommon for patients to have broken capillaries with blood trapped on the white part of the eye (sclera) following rhinoplasty. This is called a subconjunctival hemorrage and does not pose any problems other than being frustrating to the patient. Unfortunately, it takes several weeks for the blood to be broken down and reabsorbed by the body.
If patients experience visual changes, eye pain, or if bleeding occurs in the colored part of the eye (iris) -- or if patients have any question as to whether any of their symptoms are abnormal -- they should promptly seek the advice of their surgeon and an evaluation by an ophthamologist.

Rhinoplasty surgery can cause bruising that may progress to the eyelids and even into the eyes. The latter is rare, but can occur with nasal fracture. Blood in the eyes are known as injected sclera.
Reducing bruising after rhinoplasty should begin before surgery with the application of products such as BruiseStick ointment. In addition, avoid aspirin and other blood thinners such as ibuprofen. Application of ice after surgery and minimizing activity will also reduce the swelling and bruising after surgery.

 If you mean blood in the white part of the eyeball I know of nothing that will improve that. Vasoconstrictors will not help. If you mean bruising on the eyelid, make will conceal this.