Breakfast, lunch and dinner at 3 restaurants in Epcot: 7 dishes the kitchen can prepare sesame-free on request. Every dish is listed free from sesame on the restaurant's own allergy menu. The standard preparation may contain it, so ask for the allergy-friendly version and tell your server about your specific allergy.
Breakfast at Garden Grill, then two dining rooms that both cook to order. Le Cellier serves shrimp cocktail, the Duroc pork chop and a maple crème brûlée. Coral Reef closes with lobster bisque, mojo chicken and the Key West Sunset key lime tart. Sesame is usually an oil or a bun rather than a named ingredient, so every one of these seven is an allergy-friendly preparation. Ask for that version and say sesame when you order.