I know of a colleague who attended an FNP program (UCLA) where they spent clinicals in an out-patient facility in Mexico. It is not part of the curriculum but more of an elective rotation as part of a medical mission. I would suppose there are other programs that will have similar opportunities especially by offering free services in developing countries.
The insurance issues would be tremendous. However, many schools might let you do clinicals on US soil, which includes US Embassies and military bases. I did some at Navy hospital on Marine base in Okinawa.
NYU offers mini semesters (usually during breaks between traditional semesters) abroad. They are theory classes like "Issues and Trends" where no clinical component is required. I know for sure Buenos Aires and Abu Dabai (sp?) are options, there may be more but I'm not sure.