Kataifi is a popular Middle Eastern pastry made with a special form of shredded phyllo dough that is also called kataifi.Most forms are sweets, typically with nuts and honey which make them flavorful, crunchy, and very sweet.oney is a common ingredient in kataifi. Almonds, which are sometimes included in kataifi. Garlic, which is used in making savory kataifi. Walnuts are a common ingredient in kataifi. Cloves are typically used to make the syrup that goes into kataifi.