Something as simple as using very hot water or over scrubbing your face can damage veins. Overexposure to environmental elements, such as the sun or wind can also cause these veins to appear around your nose. In addition, facial trauma or alcohol abuse may also lead to their appearance around your nose. Unfortunately, hereditary and age can play a role in this condition, as well. As we age, our skin thins out, which means broken capillaries and veins are more easily seen.