From the Sources
In Lech Lecha, Avram has to do lots of traveling. From Haran to Caanan, down to Egypt and back again, and all around Eretz Yisrael in order to show that he owns it.
How to eat it
It could be fun to have specific travel food for nosh on Shabbat afternoon. Think trail mix, dried apricots, muesli bars, and so on.
Another interpretation could be to incorporate modern Israeli food into the menu, such as falafel or shwarma with humus, pita. Definitely an Israeli salad of tomato, cucumber, capsicum and green onions, with a dressing of garlic, mint, parsley, lemon juice salt and pepper. Or shashuka made by baking eggs in a sauce of tinned tomatoes, capsicum, onions and spices.