Re: The jobs do exist, but I've no idea how common they are
If you think you'd be OK with working abroad (and can fluently speak the language) then I always tell people to do that if they can and are looking to get a leg up. The 'foreign guy' will always get some, crucial, extra attention and if they demonstrate competence (instead of being the 'stupid foreigner', an role, unfortunately, filled by many of my countrymen overseas) then it's an easy way to move up a few notches and get international experience.
If you've got some foreigners around your workplace, or people who have worked abroad for years, just watch. A smart manager will ask the foreigner how they do something 'over there', and ask why they do that. It might be done the same old boring way it's done where you're from, but it might be different, and all or parts of 'their way' might integrate super well and beneficially with 'your way'. Having someone ask you a question, and providing a good answer, is how you get noticed. Keep that up and you'll get closer to where you want to be. It's getting asked that's tough to arrange.
Plus working abroad is fun!