Has anyone imported semen from Europe? What's the easiest way? How do you deal with customs?

Europe isn't one country - it is many;-) Different countries - different rules. So I guess you have to be more specific!

No specific country but lets say it's an EU country on the continent and it's going to the US.

why not contact Saudjie Crook, she is very knowledgeable in this area:

http://weathertopcollection02.squaresystem.co.uk/Home_happyhands.htm

I have and still am considering the same. I have contacted a breeder in Sweden. You have to make sure that their airline goes to a destination in your area. Also the time difference. If you have your results that your girl has ovulated at 4:00pm it may be the middle of the night for the stud owner. I would also make sure the breeder uses a 5 or 10 day extender.