Apart from the eyes being the orifice of the Heart from a Shen perspective, the Heart also influences the eyes on a physical level. Chapter 11 of the Ling Shu describes the pathways of the Divergent channels and the Heart Divergent channel goes to the inner corner of the eyes. A redness in the inner corner of the eyes often indicates Heart-Fire and not necessarily Liver-Fire as we may be inclined to conclude (given the close relationship between Liver and eyes).
By Heikenwaelder Hugo, heikenwaelder@aon.at, www.heikenwaelder.at [CC BY-SA 2.5 (http://creativecommons.org/licenses/by-sa/2.5)], via Wikimedia Commons