While living with her parents in Havana, Cuba, Lissette made her first recording at age 5, the children's song "El Ratoncito Miguel", which would eventually become a hit for her.
The scheme was devised for families opposed to the Cuban revolution of 1959, who feared that the government would indoctrinate their children into communism.
[4] After two years in the US, Lissette and her sister were reunited with their parents in Miami and the whole family moved to Puerto Rico in 1965 where she lived until 1979 and where she worked as a singer.
In 1977 she was selected by Univision, the biggest Spanish Language TV Channel of America to represent the United States in the sixth edition of the OTI Festival.
In Latin America, she is known as: "an interpreter of romantic songs influenced by the ballad" (Cuban Music from A to Z, page 12).