Career
He is 6"10" (208 m) in height and he plays as both a small forward and a power forward. Dašić began his professional career in the Serbia and Montenegro League with Budućnost Podgorica in 2004. There, Dašić made a name for himself and was widely considered at the time as one of the best young players in Europe and attracted interest from many big European clubs.
On August 26, 2009, he transferred to the Spanish ACB League club Real Madrid.
At Madrid, Dašić had a limited playing time and with the arrival of Ante Tomić his playing time became even more reduced so he was loaned out to Gran Canaria. In October 2010 he signed with Lottomatica Roma of the Italian Lega Basket Serie A. In January 2012, he left Lottomatica Roma and signed with Slovenian club Union Olimpija for the rest of the 2011-2012 season.
On September 4, 2012, he signed a contract with Beşiktaş. After he was released from his Beşiktaş contract, Dašić signed for KK Metalac Valjevo for the rest of the 2012-2013 season.
In January 2014, he signed with First Rate (at Lloyd's) Ahli Dubai of United Arab Emirates.
On July 3, 2014, he returned after five years to Budućnost Podgorica, signing a 1+1 contract. On April 25, he was released by Budućnost Podgorica. He then chose to play for the senior.