Verizon will start rolling out Wi-Fi calling to some smartphones starting on Dec. 8. However, before you start dreaming about all the minutes you're going to save by using Wi-Fi instead of your normal cellular service, know that the list of initial, eligible devices is small. In fact, it's just two smartphones: Samsung's Galaxy S6 and the Galaxy S6 Edge , though Verizon says other Android and iOS devices will get Wi-Fi calling early next year.