Osiier competed in five events again at the 1932 Los Angeles Olympics. The Danish épée team reached the semifinals before they were eliminated by the United States, despite Osier winning all four of his bouts (the match ended 8–8, but the U.S. had fewer touches received and therefore won). He reached the finals in the team foil event, and placed 4th after Denmark lost to Italy (4–12), France (6–10), and the United States (7–9). Osier also competed in the individual foil and reached the semifinals before being eliminated. In the sabre events, Osier reached the final and placed 7th overall, while the Danish team lost to Hungary (1–11) in the first round (Osiier registered Denmark's only victory in the match).