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Police deal with similar incidents on a weekly basis and Sergeant Martin Bull, of Balclutha, is concerned a serious crash may one day happen.
A ewe and a lamb were found wandering near Stirling, a cow was on the state highway near Peggydale south of Balclutha, and a dead sheep was found on the state highway just north of Milburn, all in the space of three days.
Sgt Bull said all three incidents had the potential to cause serious crashes.
Farmers needed to realise they had responsibilities to keep their stock well fenced and contained.
They could be legally and financially culpable if police could prove they were negligent in that respect.
"We just want farmers to make a special effort to ensure their stock are fenced correctly and to minimise the chances of them getting out and on to roads."