Born in Negotin, he started training when he was 7 years old with his father Saša, who is also a former goalkeeper of Hajduk Veljko.[2][3] He was with his hometown club until 2009, when he moved to Jagodina. For next 4 years, he played for youth teams of Jagodina, and was with first team since 2011–12 season, and was licensed with jersey number 45.[4] Next season, Bondžulić changed his squad number to 11 again, so Rajković took 1. Although Bondžulić was the first choice, Rajković mainly was his reserve in front of competitors Petar Jokić and Stevica Zdravković.[5] He made his professional debut for Jagodina on 9 March 2013 in a Serbian SuperLiga match versus Partizan.[6][7] Until the end of 2012–13 season, he made one more match against Smederevo.[8] After Bondžulić's departure, Anđelko Đuričić joined Jagodina.