The Lebanese government has sued Israel, claiming that Falafel, Hummus, Fattoush, and other ME delicacies are actually Lebanese. Stop smirking. The EU courts ruled that Greece was the only country that could sell "Feta," after it won a case claiming that it was a traditional food. Thing is, the Greeks never registered that food name with anyone.
Why you might worry: What is a company like "Sabra" going to do when the millions of dollars worth of products it sells in Europe have to be rebranded if Israel loses?
Why you might not: I don't know who would be bound by an international court decision on this matter. I don't think the U.S. would. Indeed, Israel might just refuse to answer the claim. Still, it is fun story.