In the 2013–14 season Dolniceanu won the bronze medal in the first stage of the World Cup in Madrid. This result pushed him to the first place in world rankings. He went on to win in Moscow the first World Cup tournament of his career after defeating Korea's Kim Jung-hwan. In March he helped his club CS Dinamo to win the European Champion Clubs' Cup in Gödöllő, after prevailing over Áron Szilágyi's Vasas SC, at the price of a right-foot tendon injury during the final. He sustained another injury, this time to the left ankle, at the Plovdiv World Cup, where he posted a third place. At the 2014 European Championships he was stopped in the second round by France's Nicolas Rousset. In the team event Romania were defeated in the quarter-finals by Belarus and placed fifth after the ranking matches.