Con su perimiso, I think that the media and the rivals of the ruling party politicized the issue too much.
They call a group of 8 soldiers visiting tourist sites an invasion of Argentina. I don't know the Argentine laws but I read a newspaper, and it said that Argentina already had existing regulations that would approve this bi-national exercise, without the approval of Congress. link
Something very important is that Argentina is going to host the G-20 meeting and needs support to update the security forces before the event. If the media found this scandalous, they will definitely have a heart attack when some power (perhaps the US), or neighboring country, has to send a group of fighter planes, and a naval fleet with all its equipment, to ensure the safety of the presidents during the G20 (protocol of these meetings). Because unfortunately the Argentinian forces don't have that capability.
RE: The Military Invasion of Argentina. English version.