Schallopp played in many international chess tournaments, especially in the 1880s, although he never won an important event. He placed fourth at Wiesbaden 1880, after Joseph Henry Blackburne, Berthold Englisch, and Adolf Schwarz, and ahead of James Mason, Szymon Winawer, Louis Paulsen, and nine others. He placed second at Nottingham 1886 to Amos Burn, and received the best game prize for his encounter with Zukertort.
