Career
He also represented the Serbian national basketball team internationally. Rašić began his professional career during the 2003-2004 season with Borac Čačak. He then moved to FMP Zeleznik.
In March 2007, he signed with the Turkish team Efes Pilsen, where he stayed for the rest of the season.
In August 2007, he signed a two-year deal with the Russian team Dynamo Moscow. In November 2007 he was released by Dynamo.
In November 2007, he signed with the German team ALBA Berlin for the remainder of the season. In July 2008, he returned to Serbia and signed with Partizan.
In September 2010, he signed with the Turkish team Trabzonspor.
In March 2011, he moved to Lithuania and signed with Lietuvos rytas until the end of the 2011-2012 season. In August 2012, he signed a one-year deal with the Italian powerhouse Montepaschi Siena. In October 2013, he moved to Turkey and signed a one-year deal with TED Ankara Kolejliler.
In July 2014, he signed with another Turkish team Torku Konyaspor.
On September 2, 2015, he signed with the Romanian club Steaua București. On December 12, 2015, he left Steaua and signed with the Turkish club Türk Telekom.