Listen to Santa Bring My Baby Back to Me online. Santa Bring My Baby Back to Me is an English language song and is sung by Elvis Presley. Santa Bring My Baby Back to Me, from the album Four of a Kind - 200 Classic Songs (From Elvis Presley, The Everly Brothers, Buddy Holly and Chuck Berry), was released in the year 2012. The duration of the song is 1:51. Download English songs online from JioSaavn.