Ok, it is probably not a typical topic of outsourcing to Russia and Eastern Europe and it is only a temporary solution, but NASA does outsource space travel to Russia.
With the retirement of the shuttle programme NASA does not have a vehicle to resupply International Space Station and turns to Russia for an interim solution. Russia will charge $65 million per seat (not a typical cost of outsourcing to Russia) and provide service until private companies in the US such as SpaceX, (owned by Paypal founder Elon Musk) and Blue Origin (owned by Jeff Bezos, founder of Amazon) are cleared for human space travel.
via New space race: Orbital outsourcing to fill shuttle void - Business - MiamiHerald.com.
