Carl Scott, from animal rights group Safe, appealed to councillors last month to institute a ban.
At this week's public forum Cr Jinty MacTavish raised the issue again, suggesting the arguments in favour of banning the holding of rodeos on council land should be brought to the community development committee.
The call to add it to the agenda gained general support, but also a warning from Waikouaiti Coast/Chalmers ward councillor Andrew Noone, who said in the area he represented the idea of banning rodeos on council land would likely be met with strong opposition.
The Waikouaiti Rodeo, for example, had been run on a council reserve for years, was getting more popular with the community and raised $13,000 for charity last year, he said.
''You should be aware that we could potentially create some issues for a long-standing event.''