Today's Piano Puzzler

o round out the weekend before business cares of the week kick in, here's a new Puzzler.  Our visiting contestant is Nathan Stadella from New York City, a former street accordionist.  O sole mio, indeed.  He does a terrific job with the game, and happily, for the first time in too long, so did I, getting both the mystery tune and style of composer.  I'm not quite sure why I guessed the composer right, because it didn't remind me richly of who it was, and there also were others it could have been.  But don't quibble with success.