Due to the fact that China exerts so much power over so many trading partners there are no embassies in Taipei, but rather trade offices of various nations that act as de-facto embassies. This list is a comprehensive listing of current April 2014 contact numbers.
Additionally, if you wish to find business contacts and import/export leads for the individual countries listed, this is a good place to start. One stop biz shop if you will for trade leads and government connections.
Trade Offices, Institutes & Contact Telephone Numbers Taipei, Taiwan