Klapa Šufit was brought together by Professor Tomislav Veršić in 1992 when they were still high school students at the IV. Gymnasium in Split. They spent a long time building and shaping their distinctive sound based on traditional klapa singing. Working with numerous leaders, they reached their peak in the music world under the guidance of Professor Jasminko Šetka. Today, they can proudly claim to be one of the most awarded Dalmatian klapas, the three-time absolute winners of the Festival of Dalmatian Klapas in Omiš. They have also received special recognition for their outstanding contribution to Dalmatian klapa singing and have won the prestigious PORIN music award for the best klapa performance.

In 2011, the klapa recorded the song "Ne diraj moju ljubav" by Vinko Barčot, which quickly propelled them to the top of the Croatian music scene. Soon after, they entered the world of popular entertainment music, blending popular music with elements of traditional klapa singing. A broad audience, numerous awards, accolades, and performances in renowned cultural venues attest that they are one of the most successful klapas in the region.