Last edited Sat Apr 11, 2015, 11:15 AM - Edit history (5)
in 1960 the CIA wasn't in the business of chasing Nazis. The Agency was much more interested in planning the Bay of Pigs at that point. More likely, if a German national had something of value to the US, the Agency would approach the individual and possibly retain him as a contract agent. Someone mentioned Operation Paperclip and the Ratlines. You should also look up Condor, which involved the CIA's management of Nazis and Rightwingers throughout Latin America, although that program is best known for coups starting in Brazil in 1964 and went on through the Chile overthrow in 1973. See also Klaus Barbie. A 2010 article in the NYT links to a 600 page Justice Dept. report on protection of former Nazis by US intelligence. See, http://www.nytimes.com/2010/11/14/us/14nazis.html
Furthermore, the FBI was also in the game of recruiting and protecting some Nazis. Eric Lichtblau wrote a book about this that is referenced here: http://forward.com/articles/209167/inside-the-fbis-shameful-battle-to-shield-nazis/?p=all; see, related, http://www.nytimes.com/2014/10/27/us/in-cold-war-us-spy-agencies-used-1000-nazis.html?_r=0
Also, an old Nazi would be unlikely to be hiding out in Mexico. More likely, Argentina, Brazil, Chile, Paraguay or Uruguay, which all had large German communities and Rightist governments at the time.
While the FBI lost most of its Latin America operations and wartime budget during the Truman Administration, it continued to operate abroad on a reduced scale. The CIA really did not have a comparable mission to ferret out Nazis abroad to that held by the FBI during World War Two.
The Office of Special Investigations in the DOJ was formed in 1979 and it has since chased down a few remaining Nazis.