Mentioning previous answers is intended to be a starting point for discussion, not to discourage it. Follow-on questions, info, and debate is welcome. Like voodoo-ish's answer that's already here.

There is an FAQ section at https://www.reddit.com/r/AskHistorians/wiki/faq/militaryhistory/wwii/nazigermany#wiki_nazi_post-war_flight_and_justice

In the app, # anchors don't work, so you have to search for Nazi Post-War Flight and Justice

There's only one directly applicable question, though: "Why did Argentina allow Nazi collaborators?" at http://www.reddit.com/r/AskHistorians/comments/v8nsf/why_did_argentina_allow_nazi_collaborators/ , answer by /u/Bernardito ... but it addresses Argentina in particular.

Over on the https://redditsearch.io front, there's this from 6 months ago: "What prompted Argentina to provide safe haven for Nazis after WWII?" at https://www.reddit.com/r/AskHistorians/comments/6yenpv/what_prompted_argentina_to_provide_safe_haven_for/ . /u/Brassafrax points out that some went to other nearby countries, but there's only speculation about why Perón encouraged immigration.

In "Why did many Nazi officials escape to South America after the end of the second world war? What made that location so appealing?" at https://www.reddit.com/r/AskHistorians/comments/2b3kaz/why_did_many_nazi_officials_escape_to_south/ , [deleted] suggested more reasons for Argentina.

In "Why did so many Nazi officials flee to South America after the fall of the Third Reich?" at https://www.reddit.com/r/AskHistorians/comments/11twlw/why_did_so_many_nazi_officials_flee_to_south/ , /u/nukular89 suggested that there were emigrations to other South American countries, but provided no data.