It

is difficult to say exactly for now, although, if Bloomberg information is verified and that President Morales plane has been delayed, searched in violation of international laws, some people in the EU will find themselves on short term notice to leave whoever it may be.
http://www.bloomberg.com/news/2013-07-03/bolivia-says-morales-s-travels-entangled-by-snowden-hunt.html
Bloomberg also confirms that under no circumstances has the Pentagon ever asked for any such violation of international treaties and or conventions  "A U.S. defense official said last night the Pentagon didn’t ask North Atlantic Treaty Organization allies to deny overflight rights to the plane carrying Morales."
A political storm in the EU over the initiative is to be expected as certainly no government has such a mandate...