This is Corrinne May's piano-vocal version of the song '(They Long To Be) Close To You' as featured in the movie 'So Close' (2002) starring Karen Mok.
music.alexdang.com/2011/07/corrinne-may-they-long-to-be-close-to.html
music.alexdang.com/2011/07/corrinne-may-they-long-to-be-close-to.html