Dacia won their first National Division match 1–0 against Nistru Otaci, and ended the 2002–03 season in 4th with qualification to the Intertoto Cup as a result.

Here they defeated the Faeroese club GÍ Gøta and Albanian side Partizani Tirana, against whom they five unanswered goals over the two-legged fixture (2–0 and 3–0).

Dacia were knocked out of the 2005-06 UEFA Cup in the first round against the Swiss Challenge League team FC Vaduz, losing 2–0 away but winning the home leg 1–0 though Vladimir Jăpălău.

The subsequent league campaign ended in sixth position, along with defeat in the Moldova Cup semi-finals against Nistru Otaci.

However, Dacia was the winner of a friendly tournament named the Turkmenistan President's Cup in February 2006, winning 4–3 in the final and collecting $20,000 US dollars as a prize.

The Yellow Wolves received a high assessment from local experts and Dacia were named the Top Team of 2007 by the Moldova Football Association.

[citation needed] The subsequent 2007–08 league campaign brought Dacia's highest-placed finish as of then, partly due to new vice-president Timur Kuriev who found Russian investors.

Dacia started the 2009–10 UEFA Europa League in the second qualifying round where they were defeated 3–0 on aggregate by Slovak team MŠK Žilina.

Before the 2011–12 season, Dacia won the revived Moldovan Super Cup against Iskra-Stal Rîbnița, with the only goal of the game coming from new signing Vasili Pavlov.