Wash the potatoes and then boil in a pot of water until fork-tender. Drain and set aside until cool enough to handle.
Melt butter or margarine in a skillet over medium heat. Cut the potatoes into 1-inch cubes and coat the potatoes with the butter or margarine. Sprinkle the grilling seasoning on potatoes and cook for 1 to 2 minutes. Place the new potatoes on the side of the fish and shrimp of Paul's Fantasy.