Well, that part of the world tends to follow the British system of post-graduate education. They don't have residencies as such. It is much less structured. You work for some time in various departments/sections of a hospital, and after meeting certain requirements, you sit for various "board exams." So let's say for medicine. You would work for (ok, it's been a while, so if I get these dates wrong, don't kill me) 6 months and you can sit your MRCP part I (Member of the Royal College of Physicians). After another 18 months you can sit your part II. Following which you get the title MRCP after your name, and you are roughly an internist. India is different and has a structured program. I don't think you could enter an Indian residency, however. You would have had to complete your MD (or MBBS in this case) in a school recognized by the Medical Council of India.
I know people who have gone off to work in African hospitals and Malaysian Hospitals. Not all of that would count toward "residency" though. But in Malaysia it would. I think they do accept non-Malaysian trained MDs without a test (depending on where you went to school).
Personally, I think your best bet is to do residency in the US and then try to get some more overseas training. Several US schools have strong international programs (Baylor, Case Western, Hopkins, U Wash, etc.). But individual board requirements demand so much time doing specified rotations. I am not sure any of these schools would let you spend more than a couple months abroad. Maybe the military? You could try for tropical medicine training in the US. Usually that's a several month course you do at Tulane, Hopkins, etc. Or it could be integrated into your ID fellowship. The UK has 2 great tropical med schools: Liverpool School of Tropical Med and the London School of Hygiene and Tropical Med.
Even if you want to work overseas for most of your career, I think it worthwhile to do your residency first in the US and then go abroad. Good luck!
