If there was, what was it like? Did the Europeans find it odd that the Japanese ate with chopsticks? Were the Chinese surprised to find very little rice in Europe?
The first major explorations into Eastern Asia occurred in the thirteenth and fourteenth centuries. Most were to the mongols, due to their emergence on to the mediterranean scene in the 1250s and as a result of the already existent myth of the great Christian king of the East, Prester John.
As I don't know that much about the actual expeditions to the east, I can't say much in answer to your specific questions. However, you can have a look at some of the extremely popular travel literature that spawned around these expeditions (and they should give you a taste of late medieval perceptions of the east).
Specifically, the two most popular works were The travels of Sir John Mandeville and Marco Polo's Description of the World.
However, we have even earlier accounts, at lest as far as travels to central asia, in the journey of William of Rubruck to the Mongol court.