Food has been an integral part of human culture and where ever man goes, he takes his food with him. As people in the ancient times, migrated from one place to the other, they left behind traces of their food culture in those societies and carried forward the food identity of those communities as well as their own, sometimes mixing and matching them to suit their sensibilities.
Which is one of the many reasons why we often mistake the origin of a particular food item, wrongly eulogizing the wrong community for coming up with them. For instance, did you know that it were the Chinese who invented the Ice Cream first while the Pizza is actually a Greek dish and not Italian.