This device (1) comprises a plate (3), a cover (2), defining with the plate a space (31) for cooking the food product, a support to receive the food product, placed on the plate, first means of heating the support, notably of electrical type, provided underneath or inside the said support, second heating means, provided above the support, notably of the infrared emission type. According to the invention, the cooking space is open to the sides over at least a substantial part of the perimeter of the device and the second heating means comprise a central heating member (50) capable of heating a central part of the food product, as well as a peripheral heating member (60) capable of heating a peripheral part of the food product.
