On 29 June 2015, Rajković signed a new three-year contract with Red Star, after days of speculation about his potential transfer away from the club.[16] After winning 2015 FIFA U-20 World Cup in New Zealand and the award for the best goalkeeper of the tournament, many European clubs wanted Rajković, including French Ligue 1 club Lyon, Belgian side Club Brugge and according to some reports Italian giant Serie A club A.C. Milan. The Crvena zvezda captain was also a top target for Paris Saint Germain along with Kevin Trapp, who signed for Les Parisiens at the end. Rajković was the best member in team during both matches against Kairat in the first qualifying round of the Europa League.