"Sway" is the English version of "Quién será", a 1953 mambo song by Mexican composer and bandleader Pablo Beltrán Ruiz.
The most famous version of the song is by Dean Martin recorded in 1954, and later by Bobby Rydell in 1960. Since then it has been covered numerous times including by Michael Bublé on his self titled debut album in 2003.
Shortly after this ‘The Pussycat Dolls’ recorded a version for the American film ‘Shall We Dance?’, which also appeared on there 2005 debut album ‘PCD’