Allspice is a single spice made from dried berries from a tree in the myrtle family, Pimento Diocia. It is used in Caribbean, Middle Eastern and Latin American cuisine. Allspice combines the flavor of several spices such as cloves, nutmeg and cinnamon. Allspice is so versatile you can use it in baking dishes such as pumpkin pies and cookies, but it also used in savory dishes such as Caribbean jerk chicken. Allspice is so versatile you can use it in baking dishes such as pumpkin pies and cookies, but it also used in savory dishes such as Caribbean jerk chicken.