There are non stop flights from many European cites (London, Paris, Frankfurt, Vienna, Amsterdam, Rome, Madrid and Lisbon) to the countries in South America that TAR has visited before. For the most part, these flights are red-eye overnight flights, but there are a few daytime flights.
Destination cities in Brasil are Fortaleza, Receife, Salvador, Belo Horizonte, Rio, Sao Paulo. Other cities in South America with direct non stop flights are Buenos Aires, Montevideo, Santiago, Lima, Guyaquil, and Quito.
With the exception of the first 3 cities listed for Brasil, all the other cities listed have direct, non stop, overnight, red-eye flights back into the US. Most of the flights arrive around sunup, +/- 2 hours.
USA End City possiblities are Dallas, Houston, Miami, Atlanta, DC Dulles, NYC JFK and Newark. There might be a couple more, but I just got tired of looking.
Edited to add Newark.