You should ask the students if they adhere to a particular diet, or if there are foods that they don't eat. Some international students don't eat meat, some will not eat pork. You may certainly serve American food, the international student will expect this. But don't be too surprised if the student isn't enthusiastic about your dish. It may take time to get used to American food.
International students miss their families.
If you have a world atlas handy, they can point out where they live. You can ask them about their studies, hobbies, and religion, if they have one. If they offer to bring a dish, help set the table or help clear and wash up, let them join you. They'll want to get first hand knowledge of the way we do things. They understand that their names are unusual for us to say.