La Dolfina won the most important polo tournament in Argentina, the Abierto Argentino (Argentine Open) nine times: 2002, 2005, 2006, 2007, 2009, 2011, 2013, 2014, and 2015, becoming one of the most successful teams since its establishment in 2000.

In 2013 La Dolfina won the Argentine Triple Crown of Polo which is considered the highest honor in the polo world, defeating Ellerstina in the finals of both Tortugas and Hurlingham Opens by scores of 16–14 and 18–16 respectively, then defeating Alegria by 16–11 in the most coveted Argentine Open Final at Palermo.

[6][7] With these victories, La Dolfina became the second team able to win the Triple Crown in two consecutive years, since Coronel Suárez (1974–1975).

For the 2002 season the team made a great impact when wearing a jersey similar to football club Nueva Chicago.

The presence of the Nueva Chicago supporters in the final surprised the rest of the attendance, generating a big repercussion in the elitist environment of polo.