Redness at the edge of the black eye is usually caused by a variety of conditions, each of which is treated differently. The most common is that it may cause damage at the corneal level, including corneal epithelial damage or keratitis. In the case of infectious keratitis, antibacterial or antiviral medications, such as levofloxacin or ganciclovir gel, and other anti-inflammatory and antiviral drugs may be required. If it is a cut or abrasion of the corneal epithelium, you will need to use a nourishing corneal medication, such as an eye ointment like calf blood gel. If the redness of the white circle of the eye is caused by iridocyclitis, you may need to use hormonal medications such as Dimethoate or Paricalcitol for anti-inflammatory treatment. In addition, if the glaucoma is caused by elevated intraocular pressure, there will also be a circle of congestion around the eye, which may require the use of IOP-lowering or anti-inflammatory drugs, such as beta-blockers or carbonic anhydrase inhibitors, such as brinzolamide or timolol, to lower IOP.