The Saudi team, which included royal family member Prince Abdullah al Saud, lost out to Britain and Netherlands in the team show jumping final.
The Kingdom is in gold medal position as it enters the last round of the team show jumping final on Monday.
Sports committees at the Olympic Games have started removing restrictions on women wearing headscarfs during competitions.
Shooter and rally driver Nasser Al Attiyah claimed the bronze in the men’s skeet competition, Qatar’s first medal in 12 years.