The 34th Eurovision Song Contest was held on May 6, 1989 in Lausanne, Switzerland. The presenters were Lolita Morena and Jacques Deshenaux. Riva was the winner of this Eurovision with the song, Rock Me Baby, representing Yugoslavia. This was the first, and only, victory for Yugoslavia in its 27 appearances between 1961 and 1992. Then the country would break up into several independent republics which would eventually become EBU members and join the Eurovision Contest leading to a substantial increase in the number of participant countries.

Riva's front-woman Emilija Kokić was Croatian and the winning song was performed in Croatian, the lyrics were about a pianist who can play works by Mozart or Chopin very well but he is asked by the singer to play something danceable. This victory brought the ESC to Zagreb, which at that time was part of Yugoslavia but it is now Croatia's capital.

See you in Zagreb for the 35th Eurovision Song Contest in 1990