During the 2006–07 season of the Divizia A, the club, then known as CSCA Chişinău, won promotion to the Divizia Naţională by coming in third. The newly promoted club then become known as CSCA-Steaua Chişinău. In the summer of 2008, the club merged with an club then known as FC Rapid Ghidighici to create CSCA–Rapid Chişinău. Before the 2011/12 season, they changed their name to FC Rapid Ghidighici. They played until the autumn pause of the 2013/14 season of the First division of Moldova . After that, The Moldovan Football Federation Suspended Rapid Ghidighici from all football activities for 3 years.