Telangiectasia or broken capillaries can be commonly found on the face. Primarily they tend to be located on or around the nose, cheeks and chin. This is what causes the blue or reddish-pink vessels on the face. Facial Telangiectasia can be hereditary; however, there are multiple factors that can lead to these small spider veins on the face. There are inflammatory conditions (such as rosacea or acne), sun exposure, windburn, smoking or chronic excessive alcohol intake. The common treatments for pesky veins on the face are VeinWave (radio-frequency ablation) or laser. You can find more information about treatment in the vein treatments section.