Bill Russell at the UK IP Office is quite right in that patents are generally territorial in nature, generally covering acts in the territory of the patent. By way of example, manufacture in Latin America would not infringe a European (or EU) patent. Importing a product from Latin America to Europe might however.
To give a professional IP advisor's perspective, an International patent application filed under the Patent Cooperation Treaty (PCT) system, administered by the World Intellectual Property Office (WIPO), is comfortably the most popular way to initiate patent protection overseas.
Have a look at http://www.wipo.int/pct/en/pct_contracting_states.html to see the list of countries the PCT system now covers. For most applicants, the listed countries provides sufficient options. If a country of interest is not on the list you would need to seek separate patent protection in the country concerned, typically filing a national patent application.
It should be noted an International (also called, a PCT) application only provides provisional protection in the above mentioned list of countries. Ultimately you need to proceed in individual countries of interest. The PCT however allows you to defer doing that until a much later stage than would apply if you filed national patent applications in the countries of interest.
If readers have any questions please do not hesitate to get in touch.
European patent attorney
Allen IP Limited