Čmilytė has played for the Lithuanian team in the 2010 Chess Olympiad and in seven Women's Chess Olympiads (1996, 1998, 2000, 2004, 2006, 2008, 2012), where she won two individual gold medals on board one, the first at Istanbul in 2000 (9½/12) and the second at Calvià in 2004 (8½/11).
In the Frauenbundesliga (Women's Bundesliga) in Germany, she is a team member of OSC Baden Baden, but has also played some league chess in Sweden.