Julio Jaramillo proposed a record deal, and urged her to move to Mexico City.Her parents had an altercation over the future of their younger daughter.She won the national competition to represent Mexico at the International Festival OTI, but she came in third place in the category of "Best Female Singer".In 1985, Yuri signed a contract with EMI to record the album, Yo Te Pido Amor, which was nominated for a Grammy Award for Best Latin Pop Performance and included the hits "Dejala" and "Dame un Beso".
This album gave Yuri her first hit, "Esperanzas", and helped her to appear in the Mexican soap operas Colorina and Veronica.
In 1983, Yuri continued to prevail in the Latin entertainment industry with a popular fourth album, Yuri, Te Amo, Te Amo and her second movie, Rapto en Acapulco. Her fifth album, Karma Kamaleón was a hit that dominated the music charts in Latin America.
Yuri decided to participate in Festival OTI for a third time and sang "Tiempos Mejores" by Sergio Andrade.
During the TV y Novelas Award ceremony she fled with Fernando Iriarte, the son of the television personality Maxine Woodside.
Yuri married Iriarte that year, and she held a press conference afterwards when she revealed the internal conflicts of her family and her wishes for independence. Despite being a novice, he proved to be quite efficient, giving Yuri a more sophisticated sound and image.