Starting in 1977, the Miami Sound Machine, (the Miami Latin Boys with Gloria Estefan), began recording and releasing various albums, 45s, and 12"s on the Audiofon Records label in Miami. The first album from 1977 was entitled Live Again Renacer and was released with two different covers. After several more releases on the Audiofon label as well as the RCA Victor label and Miami Sound Machine's own label MSM Records, the band was signed to Discos CBS International and released several albums, 45s, and 12"s beginning with 1980s self-titled album Miami Sound Machine. Growing in popularity in both the United States and around the world, the group would continue recording and issuing various works for Discos CBS International through 1985. In 1984, Miami Sound Machine released their first Epic/Columbia album, Eyes of Innocence, which contained the dance hit "Dr. Beat" as well as the ballad "I Need Your Love".

In 1988, Estefan took top billing and the band's name changed to Gloria Estefan and Miami Sound Machine. Beginning in 1989, the group's name was dropped altogether. Estefan was credited as a solo artist, though the ever-changing line-up of Miami Sound Machine continues as her backing band to this day.