A day late, but I don't have much to write anyway. Although it's a giant topic.
I found something mildly interesting, Hungarians emigrants in Argentine during the events.
They had a weekly newspaper the South American Hungarians, published in Hungarian, from 1929 to 1962, which followed the happenings in the home country, sometimes publishing articles listing the events from hour to hour, and ofc local news. Ideologically they reflected interwar Hungary, and were supportive towards the system of Perón, and they supported the movement of '56. They spread fliers all over Buenos Aires in the numbers of tens of thousands, they organized rallies, they lobbied so Argentine would put her voice next to the revolutionaries. They sent medical help (medicine, blood, bandages, etc.), but also gathered ~500 volunteer who planned to join to the freedom fighters. They weren't just Hungarians, but Poles, Croats, Northern Hungarians joined too, and even people from Caucasian countries. Due to various circumstances they never left for Europe.
After the defeat emigrant Hungarian women dressed in black did a procession on the streets of Buenos Aires.

While I search for a pic of the newspaper, I also found a sample from Brazilian-Hungarian press.