Preciosa garnered favorable reception from music critics, with Tim Baker of Newsweek observing the group finally purging their oldie influences from their discography.

In the aftermath of the 1981 recession in Texas, former musician Abraham Quintanilla, endeavored to propel his children's band Selena y Los Dinos as a means of achieving financial stability following their eviction from their home.

This success was succeeded by their rendition of Jimmy Charles' composition "A Million to One" (1986), which garnered the distinction of being the most frequently played track on the KEDA radio station in San Antonio, Texas.

"Dame un Beso" and "A Million to One" contributed to Selena securing the Tejano Music Award for Female Vocalist of the Year in 1987.

During this time Selena was the most requested artist on ten out of fifteen Tejano radio stations and her albums began selling up to 20,000 copies.