In large bowl, mix oil, chocolate, granulated sugar and vanilla. Stir in eggs, one at a time. Stir in flour, baking powder and salt. Cover; refrigerate at least 3 hours.
Heat oven to 350°F. Grease cookie sheet with shortening or cooking spray.
Drop dough by teaspoonfuls into powdered sugar; roll around to coat and shape into balls.
Place about 2 inches apart on cookie sheets.
Bake 9 to 11 minutes or until edges are set. Immediately remove from cookie sheets to cooling racks.