He first attracted media attention when he won the Hindelang giant slalom on January 7, 1964 , when he started with start no. 55 caught the leading Austrian Egon Zimmermann by a hundredth of a second. Further outstanding giant slalom results were 4th place on January 6, 1966 again in Hindelang and 3rd place on January 9, 1966 in Adelboden ; on January 27, 1966, he won the downhill at the Toni Mark memorial race in Saalbach . On January 30, 1966, he was second in slalom in Saalfelden and at the end of February in Wangs-Pizol, Swiss champion in slalom, giant slalom and combined. At the “Critérium de la Première Neige” in Val-d'Isère , he finished 3rd in the giant slalom on December 14, 1966. His first World Cup points came in 9th in the first ever World Cup giant slalom on January 6, 1967 in Berchtesgaden which, however, was only driven in one run.
Bruggmann Ski World Cup won a total of five races. He finished second five times and third place four times. There are also 32 further placements among the top ten. In the 1971/72 season he was third in the overall World Cup ranking. He contested his last race on January 27, 1974, the slalom in Kitzbühel .
Edmund Bruggmann was married and ran a hotel on Flumserberg . He died of leukemia at the age of 71 .