National Grilled Cheese Day comes but once a year Published April 12, 2016 Entertainment FOX 32 Chicago Share Copy Link Email Facebook Twitter LinkedIn Reddit CHICAGO (FOX 32 NEWS) - Cheesy and crunchy. Warm and chewy. There is nothing like a mouth-watering grilled cheese sandwich. In honor of National Grilled Cheese Day, Siena Tavern top chef Fabio Viviani whips up his take on the kitchen classic.