The red blood streaks around the cat’s eyeballs should be blood vessels. They may be caused by the cat getting angry or scratching. Owners can buy anti-inflammatory eye drops, such as Ofloxacin Eye Drops, Tobes Eye Drops, Instill Sato eye drops for cats twice a day, and they will get better in about a week. In addition, cats who eat food that is too salty and oily can also cause red and bloodshot eyes. It is recommended that owners check the food.