A package for combined steam and microwave heating of food, wherein the package may include microwave energy interactive materials (“MEIMs”) configured for providing rapid, simultaneous microwave and steam cooking in a domestic microwave oven. The MEIMs may be configured for controlling the heating pattern within the package and to control volumetric heating of food in the package. The MEIMs may include one or more of a susceptor, shield, and/or resonating patch antenna. The package may be paper-based, or it may be manufactured of any other suitable material. One or more of the different sections of the package may comprise separate chambers respectively for the steam source and the food to be steamed, so that the steam source and the food to be steamed are separated from one another during manufacturing, storage, and cooking.