Combine chicken, green pepper, and almonds in a medium mixing bowl; mix well. Combine whipping cream, mustard, salt, and pepper; add to chicken mixture, mixing well. Chill.
Remove crust from bread. Spread chicken mixture evenly over 8 slices of bread. Place remaining bread slices over chicken mixture to make sandwiches. Cut each sandwich into 4 squares. Garnish cut sandwiches with green pepper stars.