Bikovic made his acting debut on television, in the popular RTS series The Dollars Are Coming, Serbian: “Stizu dolari”. He then came to further prominence with the comedy series White Ship “Bela ladja”, in which he acted from 2006 to 2011. In 2008, Bikovic had a supporting role in the B92 drama series The Storks Will Return (Vratice se rode). He would subsequently appear in two short films, Assignment: Ten Minutes “Zadatak: 10 minuta” in 2009, and Plus in 2010.
In 2010, Bikovic was cast to portray Serbian footballer Aleksandar “Tirke” Tirnanic in Montevideo, God Bless You! (Montevideo, Bog te video!). Directed by Dragan Bjelogrlic, Montevideo, God Bless You! is a true story of the Yugoslavia national football team qualifying for the 1930 FIFA World Cup. Bikovic and his cast fellows had to learn to play football for the film. Montevideo, God Bless You! premiered on 20 December 2010, and became the highest-grossing film in Serbia and the region. It was also selected as the Serbian entry for the Best Foreign Language Film at the 84th Academy Awards. The film brought Bikovic MTV Adria Movie Award and Nis Film Festival for Best Actor, as well as a “FIPRESCI” Serbia Award for Best Actor nomination.[12] It also made him a household name in Serbia, and earned him the Hello! Magazine Award for the Personality of the Year in 2011. The television series adapted from Montevideo, God Bless You!, which features some scenes and characters that do not appear in the original film, premiered on the RTS on 13 February 2012.
The following year, Bikovic had an episode appearance in the television series Mixed Meat “Mesano meso”. He also made his stage debut in the Atelje 212 production Goodbye SFRY “Zbogom SFRJ”, inspired by Wolfgang Becker’s film Good Bye, Lenin!. In 2012, Bikovic portrayed Serbian scientist Mihajlo Petrovic Alas in The Hat of Professor Kosta Vujic “Sesir profesora Koste Vujica”, a film adaptation of the novel of the same name by Milovan Vitezovic directed by Zdravko Sotra. The film has been both critically acclaimed and commercially successful.
In 2013, Bikovic starred the RTS series Ravna Gora that takes place in Yugoslavia during the World War II and tells story of the resistance movement Chetniks, the National Theatre production of The Lady of the Camellias, and the German independent short film Great. The following year, he starred the sequel to Montevideo, God Bless You!, the box-office hit See You in Montevideo “Montevideo, vidimo se!” and its eponymous spin-off series, and the film and television adaptation of Mir-Jam’s novel Single in a Marriage “Samac u braku”, titled, respectively, When Love Is Late “Kad ljubav zakasni” and Single in a Marriage.
Bikovic is set to appear in Sunstroke, an upcoming film directed by Nikita Mikhalkov, based on Ivan Bunin’s works Sunstroke and Cursed Days. It was also confirmed he would appear in the sequel to the Russian film “Soulless”.