I think that Skype is a great way to interact with others in the country for what we do.
There are many ways that this would work.
The first thing that we can do is that we can use this to work along side our schools in the district. Many times we do a district wide concert and we try to work on pieces that the middle and high school can play together - with skype we can see how each other is playing and possibly even play at the same time.
Just like the above I think that this would work when we are working on cultural pieces. If we are able to Skype with other countries, when we are playing pieces that lets say come from China, we can Skype with them and then the kids will have a better understanding of how to perform.