Career
Born in Belgrade, Rajković started his career with OFK Beograd. He was included in the club"s first team at the age of 15. During his second season in the first team, Rajković"s reputation grew so such that in November 2005 the English Premier League club Chelsea decided to pay €2million for the 16-year-old centre-half;
Under the terms of the deal, Rajković stayed at OFK Beograd as a loaned player from Chelsea until the end of the 2006-2007 Serbian SuperLiga season.
Loans to Eredivisie
During June 2007, Chelsea decided to loan Rajković to PSV Eindhoven ahead of the 2007-2008 season, as part of the deal surrounding Alex"s move to Chelsea.
After the year-long loan spell at PSV, the Dutch club wanted to extend the loan period for another year, but Chelsea declined due to the lack of playing time Rajković was receiving in his season at Eindhoven. Rajković, however, still returned to the Eredivisie.
On 9 July 2008, Football Club Twente agreed a one-year loan deal with Chelsea. After spitting at a ref at the 2008 Summer Olympics, Rajković was banned for 12 months by Fédération internationale de football association. In June 2009, his loan was extended until June 2010.
On 23 August 2010, Rajković transferred to another Dutch Eredivisie club, this time Vitesse Arnhem together with his former Chelsea team mates Nemanja Matić (who is now a back at Chelsea Football Club) and Matej Delač on a season-long loan.
Chelsea
Having returned to Chelsea prior to the 2011-2012 season at the request of new manager André Villas-Boas, Rajković played his first game in a Chelsea shirt in a friendly against Wycombe Wanderers on 12 July 2011 at Chelsea"s Cobham Training Centre. Rajković played the second half and scored his side"s third goal, volleying home a Yuri Zhirkov corner. Four years after signing for Chelsea, Rajković still was not eligible for either a work permit or an European Union passport so is not allowed to play in matches open to the public (hence why he played in the closed door game with Wycombe, but couldn"t play against Portsmouth).
But Slobodan finally made his debut in a pre-season friendly game against a Malaysian XI, in which he played the whole of the first half.
He also played against Kitchee South Carolina in the 2011 Barclays Asia Trophy in Hong Kong. Hamburg
On 23 August 2011, Rajković joined Bundesliga club Hamburger SV from Chelsea on a four-year deal for €2 million.
He did not manage to be amongst the first priorities for the club during four years, having only 46 appearances in all competitions. Darmstadt
On 29 September 2015, Rajkovic signed for SV Darmstadt 98 on a two-year deal.
By the age of sixteen he was a regular in the Serbia national under-21 football team
He was the youngest player ever to appear in a qualifying match of the Union of European Football Associations European Under-21 Football Championship. On 17 June 2007, during the 2007 Union of European Football Associations European Under-21 Football Championship, which the Serbia national under-21 football team eventually finished as runners-up, Rajković was part of a controversial second goal for England. Rajković was called for a national team match in 2016, after more than two years.
Rajkovic is known as a highly aggressive player.
After his arrival to Hamburg, he stated in an interview: I like to play more aggressive than the referees like. He is very short-tempered, thus receives a lot of bookings.