Education
In his last year with the club, Drobnjak played in the Euroleague Final Four, where they finished fourth after losing in the semi-final to Kinder Bologna, and in the third-place game against Benetton Treviso.
In his last year with the club, Drobnjak played in the Euroleague Final Four, where they finished fourth after losing in the semi-final to Kinder Bologna, and in the third-place game against Benetton Treviso.
At 2.11 m (6 ft 11 in), he played at the power forward and center positions. Throughout his nineteen-year career, Drobnjak had also played in the National Basketball Association.
Europe
Drobnjak started his professional career with Partizan in the 1992-1993 season. He played six seasons for Partizan, winning three national titles in a row (1995, 1996 and 1997).
Before the 1998-1999 season, Drobnjak signed for Efes Pilsen in Turkey.
Drobnjak stayed for the next three seasons with Efes. National Basketball Association
Drobnjak was a second-round draft choice of the Washington Bullets in the 1997 National Basketball Association Draft.
During his time in the National Basketball Association, Drobnjak played two seasons for the Seattle SuperSonics, one season for the Los Angeles Clippers, and one season for the Atlanta Hawks. In 2004, the Clippers made him available for selection by the Charlotte Bobcats in the expansion draft.
After his selection by the Bobcats, Drobnjak was subsequently traded to the Atlanta Hawks in exchange for a 2005 second-round draft pick before playing a game for Charlotte.
Return to Europe
In July 2005, Drobnjak signed a three-year contract with Tau Cerámica in Spain. However, he was released after only a year, which followed by his signing a one-year contract with his former team Partizan. In July 2007, he signed with Akasvayu Girona.
In December 2007, he left Girona and signed with Beşiktaş Cola Turka for the rest of the season.
In November 2008, Drobnjak returned to Efes Pilsen for the 2008-2009 season. In the 2009-2010 season, Drobnjak played in the Greek Basket League with PAOK. In February 2011, he signed with Iraklis until the end of the season.
However, he decided to retire later that month. After Montenegro"s secession from Serbia and Montenegro, Drobnjak represented Montenegro internationally.