An appliance for cooking foodstuffs includes an electric grill plate adapted for use atop a horizontal table top surface, a plate component of the electric grill plate, and a frustum-shaped cooking surface on the plate component that slopes downwardly in all horizontal directions from a central vertical axis in order to promote drainage from foodstuffs during cooking. One embodiment also includes concentric ribs for holding the foodstuffs from sliding downwardly across the cooking surface, a two-position marinade cup mounted in a central chimney for containing marinade in a selected one of high-heat and low-heat proximity to the cooking surface of the plate component, a scalloped cup lip for receiving skewers, a perimeter fence for retaining the foodstuffs on the cooking surface, indentations along the fence for receiving the skewers and providing a flow path for steam to pass out from under the cover, a see-through glass cover, a removable grease tray, a cool-to-touch base, and a submersible electric grill plate.