British Eventing say they are constantly working to improve safety, following the death of a competitor at Nunney Horse Trials in Somerset.
Canadian rider Jordan McDonald, 30, died after a fall in Saturday's event.
In a separate similar incident on the same day, German rider Benjamin Winter was killed at Luhmuhlen Horse Trials in his homeland.
"Unfortunately, there's inherent risk within eventing," said British Eventing sport operations manager Chris Farr.
He told BBC Somerset: "We do as much as we possibly can to mitigate that risk - through protective equipment for the rider, as well as cross-country build design and standards.
"We're working incredibly hard to make the sport as safe as possible, but there are falls that take place."
Leicestershire-based McDonald was competing on Only Me when the seven-year-old gelding hit a log on fence seven of the cross-country course and fell onto his rider.
South Western Ambulance Service were called to the incident at 13:38 BST to find McDonald unconscious.
A spokesman said he had suffered a cardiac arrest and was taken to Bath's Royal United Hospital, but he could not be revived. The horse was not injured in the accident.
The event in Frome was abandoned for the day following the incident, but McDonald's family gave their blessing for the trials to continue on Sunday.
Farr confirmed that an investigation into the accident will be conducted by British Eventing.
"Police will be doing their work through to the coroner. In these circumstances, British Eventing always do hold an investigation of our own," he added.
"That is done to make sure our procedures and rules are as good as they possibly can be.
"At the same time, it's there to support both the Police and the coroner in their investigations."