I found it for you, Farhad is right it is Sinhalese. I tried searching with the first couple of words from the music I found it. Search phrase "sri lanka music ninda noyana" and got the result. Google is awesome.
http://www.youtube.com/watch?v=luIuCOMZ8ug
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Longhite hobe ratri nishithe jatrira hushiar.
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