Crack warm eggs into bowl, add salt, and blend with fork. Heat a 10-inch non-stick aluminum pan over medium-high heat. Once pan is hot add butter and brush around surface of pan. Pour eggs into center of pan and stir vigorously with rubber spatula for 5 seconds. As soon as a semi-solid mass begins to form lift pan and move around until the excess liquid pours off into pan. Using your spatula move around the edge of the egg mixture to help shape into round and loosen edge. Let omelet sit in pan for 10 seconds without touching.
Shake pan to loosen from pan. Lift up the far edge of the pan and snap it back toward you. Using your spatula, fold over 1/3 of the omelet. Slide omelet onto plate and fold over so that omelet is a tri-fold. Coat with remaining butter and sprinkle with chives. Serve immediately.