More than 24 hours after a shooting left one man dead in a rural area in southwestern Ontario, police have said little about the incident.

A heavy police presence remained in the area late Sunday, after Ontario Provincial Police said they found the victim near the Hullett Wildlife Conservation Area around 5 p.m. Saturday.

The conservation area is near Clinton, Ont., about 80 kilometres north of London and 200 kilometres west of Toronto.

One witness told CTV Kitchener that the victim was on horseback when he was killed, and a woman was also injured, but that has not been confirmed by police.

Central Huron Mayor Jim Ginn said investigators cordoned off a large area Saturday night on the outskirts of Clinton.

Some residents initially reported that they were ordered to stay inside, with doors locked. But Ginn and the OPP both said that wasn't the case.

"There's still a fairly heavy police presence here and they're continuing with their investigation," Ginn said. "They're not asking people to stay indoors at this point but to be a little more cautious."

A siren went off in Clinton on Saturday night, which some took to mean "stay indoors," but it was connected to an unrelated fire.

Clinton resident Doug Farquhar said an OPP officer who visited his home near the scene told him two people had been shot.

Another local resident, Diane Proper, said she went to the cordoned off area on Sunday and saw dozens of police vehicles and a few ambulances.

Proper said she wants police to let nearby residents know what's going on.

"Why the mystery surrounding this?" she said. "Give us something. Should we be in fear of our lives or have they got everything under control?"

Ginn said police are expected to remain in the area for several days.

"It is a crime scene so it is a restricted area," he said. "You hear it all the time, but you don't expect those types of things to happen in an area like this."

Police are asking anyone with information to contact the Huron County OPP immediately at 1-888-310-1122, or Crime Stoppers at 1-800-222-TIPS (8477).

With files from CTV Kitchener’s Nadia Matos and The Canadian Press