I understand the question asked by Vito to mean the music which we recognize today as coming from other countries and cultures, such as Poland, Italy, Brazil, etc...and my answer to it is "yes!".
However, there is almost no music today which is without "foreign" influence!
Here's what I mean by that:
Beethoven--music of Germany, albeit influenced by Italy, Austria, and other earlier music.
Mozart--music from Austria, influenced by Italy & other areas.
Each and every European composer built upon earlier influences which were primarily based in the worship music of The Church of Rome (itself derived from earlier sources; much of which is lost to antiquity).
Beatles & Rolling Stones--from England but almost completely influenced by American Negro blues & R&B music.
All music from America is also derived from European influences and much of our modern music is derived from African slave influences.
Cuban, Brazilian, and other "Latin" music is heavily derived from African musics, combined with European sources.
The musics we associate with both Hawaii and Mexico are primarily German music forms influenced by native folk music. (steel guitars, ukeleles, accordions, duple time signatures).
All European musics, as well as ancient Arab, Turkish, and Persian musics, also were influenced to a greater or lesser extent, by the music of the ancient Greeks (almost all of which is now lost to history).
Perhaps the "most pure, least foreign influenced" music today is found in the classical musics (those dating back thousands of years) of India, China, Japan, Indonesia, Black Africa, the Middle East, etc...although there most likely was a great deal of interaction and influence over thousands of years from other nations to whom they were exposed through trade, etc... .