Although he made his Olympic debut at age 39, Seligman's Olympic career lasted for 5 Olympics. Seligman was the only person to win the British title in each weapon at least twice: epee, foil and sabre. In the Olympics in epee Seligman won three consecutive team silver medals with the British team between 1906 and 1912, and came in 6th individually in 1912. From 1912 to 1924, he served as the team captain of the British fencing team.
British Championships
Seligman was the British epee champion in 1904 and 1906, the foil champion in 1906–07, and the sabre champion in 1923 and 1924.
Intercalated Games
Seligman first competed at the 1906 "Intercalated Games" held in Athens to renew interest in the Olympic Games. Although considered "unofficial," the Games attracted 900 athletes from 20 countries. The British épée team came in second. The Games succeeded in renewing interest in the Olympics, and Seligman competed in his first "official" Olympiad 2 years later at the 1908 London Games.
With England the host country in 1908, Seligman and his teammates won the silver medal in the team épée competition. Seligman was not successful in the individual épée, however, losing in the 1st round. The "Official Report" of the Olympics stated that his "failure was unaccountable and naturally caused disappointment."
Four years later at the 1912 Stockholm Olympics, Seligman captained the British fencing team, competed in 3 events, and won another medal. In the team épée competition, Seligman and the British team won the silver. In the individual épée, Seligman finished 6th overall after winning only 2 of 7 matches in the final round. He also competed in the individual foil event and won 3 of 7 matches in the finals, to finish in 6th place.
At the 1924 Paris Games, Seligman was captain for a third time. In the first three rounds of the competition in the individual foil event, he won 12 of 13 matches and easily advanced to the finals. Unfortunately, according to the Olympic Games of 1924 British Report: "in the final pool of the individual foil event, he slipped in the course of his second fight and strained his leg, with the result that he was compelled to retire – a most unfortunate happening, since he had previously won his fight against Roger Ducret of France, the eventual Olympic winner." In Paris Seligman also managed to compete in the individual sabre and team foil events. In the individual sabre, he finished 3rd in his elimination pool, but then forfeited in the semifinals. The British team was eliminated in the quarterfinals; Seligman fenced in both matches and won 6 of 8 bouts combined. He was also scheduled to participate in the team épée and team sabre, but his injury did not allow him to compete.