While he was studying in Chile, in 1973, Zúñiga recorded his first 45 rpm single with "Producciones Caracol", including as one side the David Gates' song "Everything I Own".

The songs included "Procuro olvidarte" ("Trying to forget you"), "Ven con el alma desnuda" ("Come as you are"), "Un pasajero" ("A Passenger"), "Insoportablemente bella" ("Unbearably Beautiful") or "Ese beso que me has dado" ("That Kiss that You Have Given Me").

Two years later, already residing in Mexico, he released the album Qué increíble es la distancia (Distance is so incredible), which included the songs "Mira arriba" ("Look Up"), "Una vez al mes" ("Once A Month"), "Tengo unos celos que matan" ("I feel so terribly jealous", "Te llevaré" ("I Will Take You with Me").

As of 1992[update], Zúñiga produces, prepares arrangements and composed "Después de todos estos años" (After All These Years).

"), "Al otro lado del mundo" ("At the Other Side of the World") and "Eres todo menos azar" ("You are Everything but chance").