Upvote:3
EDIT: Europe is more flexible than what I understood when I wrote this, as long as you are transiting airside only. However, I stand by my disclaimer that airlines are likely to cause problems (unjustifiably) if you have no visa for your transit country and also no visa for your final destination.
Well, it seems transit visas are required for the US and Europe unless you meet certain requirements. Getting a transit visa is surely the simplest option if possible.
If a transit visa is not possible at all, this is tricky because if you only stick to countries that don't require visas for Indian citizens, there aren't any flights. So we'll have to look for countries that allow flight transfers without a transit visa. Using WikiTravel's page on Avoiding a transit of the US, and Kayak's tool to find nonstop flight routes, it looks like there are a couple ways to do this:
EDIT (ADDED): India -> Amsterdam -> Ecuador (see Henning Makholm's answer)
EDIT (ADDED): India -> Frankfurt -> Panama City -> Ecuador (also some other variations on this one are possible, such as replacing Panama City by Mexico City or Bogota)
India -> Tokyo -> Mexico City -> Ecuador
India -> Dubai -> SΓ£o Paulo -> Bogota -> Ecuador
Disclaimer
Airlines are notorious for denying boarding incorrectly based on the agent's interpretation of what's in TIMATIC, and they will generally assume that you should have a visa for your final destination. If you're really planning to do this, it is crucial that you discuss it with the airline(s) in advance to make sure they will allow you to board.
Upvote:5
One option would be to transit in Amsterdam. KLM has routes to both Equador and India, and the Netherlands does not require airport transit visas of Indian nationals who stay within the non-Schengen transit zone of the airport.
None of the other destinations Wikipedia lists from Quito sound like they're likely to have direct flights to India and allow Indian citizens to transit visa-free. (Airport transit visas are required by Spain, France, Germany, and the UK; USA doesn't have visa-free transit for anyone). There may be more options with two layovers.