Dalvin stands for Dalmacijavino, a company that was a longtime patron of the club.
KK Dalvin was the first club in the former country that had "American style" jerseys.
The club had its most beautiful moments at the end of 1970s when it entered the first division of the former state.
They have played only one season in the first division and scored only one victory - in Split against Rabotnički from Skopje.
In early 1980s known players were Mlađan Tudor, Josip Puljiz and Bjelajac.