Listen to Here Comes Santa Claus (Right Down Santa Claus) online. Here Comes Santa Claus (Right Down Santa Claus) is an English language song and is sung by Elvis Presley. Here Comes Santa Claus (Right Down Santa Claus), from the album Christmas, was released in the year 2015. The duration of the song is 1:53. Download English songs online from JioSaavn.