I've had this weird idea about getting new researchers and doctors, since we're always a bit short.
I'm sure there are lots of potential doctors and researchers in the Third World, they just don't have the opportunity to get the education. Also, there is a problem because the ones that do get an education come over here, and we drain them of their best and brightest - who often end up flipping burgers and driving taxis because we don't recognize their qualifications.
What we should do is cut a few of the most inefficient foreign aid programs and use the money differently. Set up some big medical schools in the Third World countries, Train doctors who would not otherwise get the education but have "the right stuff", for free (remember we're not losing any money here, this is coming from foreign aid). We train them to Western standards, and instead of paying their way through, they sign a contract to work for us in one of several speficied capacities, depending on their achievement, for a predetermined rate (which will be good but lower than what they would earn in the private sector, because they got a free education and this is how they pay for it). These doctors would take part in our foreign aid schemes, often in their home countries but sometimes they would be deployed for disaster relief, etc - say, two years for every year they spent in the school, if they did not get a doctorate they still work in some capacity (even if it is just menial work) according to however far they did manage to get. At the end of it all, they get automatic acceptance for citizenship if they want to emigrate, and are automatically qualified here (since we already trained them to our standards).
So, out of all this, the host nation would benefit - they'd not only have the medical school which would double as a hospital, but they would have a whole bunch of young doctors working there for awhile that they wouldn't have had otherwise (and in a decade or so, a whole bunch of citizens working in Western countries and sending money home, who wouldn't have been otherwise). We get savings in medical relief aid (because we have a giant pool of doctors working cheap) and a whole pile of doctors coming over here to work without all the red tape of retraining due to different standards (no more doctors from India driving taxis).
Finally, the schools would also act as research centres, just like medical schools do now. Whatever they found would be considered public property that the drug companies couldn't patent, the way penicillin was put into the public domain to prevent the drug companies from patenting and limiting its supply for profit. The medicare savings we get from any of these generic solutions would go right back into more research.