[2] In July 1964 in the competition of bands held in Zagreb's Šalata, Delfini won the second place, Crveni Koralji winning the first.

[3] In November 1965 Delfini played on the Zagreb Beat Music Festival, performing alongside Mladi, Ptice, Uragani, Zlatni Akordi, Stalaktiti, Crveni Koralji, Šigele and the Italian band The Five Fans.

[4] In the autumn of 1966 Šurina and Stošić were replaced by guitarist Nikola Sarapa (formerly of Zlatni Akordi) and keyboardist Petko Katrandžijev (formerly of Bezimeni).

[2] Their second EP, released during the same year, featured the song "Ne pitaj me ništa" ("Ask Me Nothing"), performed on the Zagreb Music Festival, as the title track.

[2] The EP also featured the songs "Najljepši dan" ("The Most Beautiful Day"), written by Ivica Krajač and Nikica Kalogjera, "Bebel", written by Krajač and dedicated to Jean-Paul Belmondo, and "Najljepša kuća na prodaju" ("The Most Beautiful House for Sale"), a cover of The Kinks' "Most Exclusive Residence for Sale".

[6] During the same year, under the name The Delfinis, the band released a split 7" single with Crveni Koralji for the Belgian record label Benelux International.

The single featured Crevni Koralji's song "Napoli Guitar" and Delfini's cover of "Gloria".

[2] Despite the successes, Baković, Sarapa and Katrandžijev left the band due to disagreements with Juran and Ruić.