At the 1976 Paralympic Games in Toronto, Reimer's record in the Men's Discus Throw B was broken by Remi Ophem and he finished second. Reimer also finished second in the Men's Pentathlon 4 with a score of 3295. In the Men's Javelin event, he finished third with a distance of 23.05 metres. At his final Paralympic Game, in 1980 at Arnhem, Netherlands, Reimer was able to top the podium of the Men's Discus Throw B with a throw of 29.80 metres, beating the second place finisher by 36 centimetres.