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Alcohol dilates peripheral blood vessels, but has been known to actually. constrict some blood vessels in the brain, lowering the oxygen content. Alcohol dilates peripheral blood vessels, but has been known to actually  constrict some blood vessels in the brain, lowering the oxygen content.
Another possible cause is alcoholism. Excessive consumption of alcohol over a long time can increase your blood pressure, causing the veins in your face to dilate. Repeated dilation may lock the veins in that position [source: Jones]. The broken capillaries may also indicate liver damage.