Sounds like a question you and your employer would have to come to an agreement on.
Personally, with no children etc., I would take an overseas move if they covered moving costs, a cost of living adjustment, and a standard raise. But I like moving and have done it all my life (military dependent.)
Have you looked at what all the costs will be when you move? Will they arrange the moving services, or will you have to do that? Will you have to put your kids in private/international school? Will you gain or lose benefits like health care? Will it be difficult to move back if you decide you don't like it there, limiting your career options? Think through all your expenses and current benefits, and actually calculate the amounts. Ask for a raise and ask them to also give you a bonus/allowance/stipend for the expenses you found.