At the World Cup of Pool, Ortmann has represented Germany three times. He and Thomas Engert reached the 2006 semifinals, losing to eventual winners Efren Reyes and Francisco Bustamante of the Philippines. In 2007, Ortmann and Christian Reimering lost in the first round to Singapore's Chan Keng Kwang and Toh Lian Han. He and Ralf Souquet reached the 2010 semifinals, where they were defeated by eventual winners Li Hewen and Fu Jianbo of China. Ortmann appeared at the World Team Championship in 2010 and 2012, reaching the quarter-finals in 2010.