[2] In 1964 the band performed on a number of concerts entitled Prvi pljesak (The First Applause), organized by Mozaik (Mosaic) Society for Culture and Arts.
[2] After their return to their hometown, they held their first solo concert, on which they performed with saxophonist Igor Lučer and trumpeter Tonči Puharič.
[2] The band started to hold concerts in the cellars of Diocletian's Palace in Split, with up to 1,500 members of the audience per performance.
[1] In 1966 the band applied for the Melodije Jadrana 66 (Melodies of the Adriatic 66) music festival with the song "More i ljeto" ("Sea and Summer"), composed by Lukić.
Delfini were offered to appear on the festival performing the song "Ča se noćas svitli luka" ("Why Is the Harbor So Bright This Evening"), which they refused.
[3] The band would also compete on the second edition of the Festival of Vocal-Instrumental Ensembles in Zagreb, held on 14 May 1967, where they also won the second place, behind Kameleoni.
[5] They held 11 concerts in Belgrade Youth Center, and soon gained an opportunity to appear in the popular TV show Koncert za mladi ludi svet (Concert for Young Crazy World) and were offered a record contract by the PGP-RTB record label.
[1] They released a number of pop-oriented 7" singles, often appeared on Yugoslav pop festivals and went on several Soviet Union tours.