Gloria,
FYI, there is no perculiar problem facing international Logistics, in supply Chain managment we call them managerial challenges. your ability to turn around these challenges (problems) makes you an efficient Logistics manager.
with regards to International Logistics, one major challenge is communication barrier (Language), procuring or shipping from a country which doesn't speak your language is very difficult. for your supplier or forwarder to understand your country's regulations is always a major challenge.
To overcome this challenge, in selecting your suppliers and forwarders, you also need to put into consideration how well do they understand your language or how are they prepared to cooprate with your terms.
i hope this help!!!, but for further education do not hesitate to contact me or Jemimah,