Preheat oven to 325°.
Combine 1/3 cup sugar and 3 tablespoons water in a small, heavy saucepan over medium-high heat; cook until sugar dissolves, stirring frequently. Continue cooking until golden (about 4 minutes). Immediately pour into 4 (6-ounce) ramekins or custard cups coated with cooking spray, tilting each cup quickly until caramelized sugar coats bottom of cup. Set aside.
Beat eggs and egg white in a medium bowl with a whisk. Stir in 1/2 cup sugar, liqueur, espresso, salt, and milk. Divide mixture evenly among prepared custard cups. Place cups in a 9-inch square baking pan; add hot water to pan to a depth of 1 inch. Bake at 325° for 55 minutes or until a knife inserted in center comes out clean. Remove cups from pan. Cover and chill at least 4 hours.
Loosen edges of custards with a knife or rubber spatula. Place a dessert plate, upside down, on top of each cup; invert onto plates. Drizzle any remaining caramelized syrup over custards. Garnish with chopped coffee beans, if desired.
This was good if you like coffee and things that aren't too sweet. This is a good dessert for a small adult dinner party. I will probably not make this again only because I have a sweet tooth.