The suggestion emerged from a Wiltshire Climate Alliance youth group workshop held with Wiltshire Council on Monday.
North Wiltshire MP James Gray and Salisbury MP John Glen were among those attending the online event.
Carys Richards, 23, of the WCA youth group, said: "We are so worried about climate change.
"The council must do more to reduce its own carbon footprint and it must stop putting money into environmentally damaging projects."
Wiltshire Council's Deputy Leader Cllr Richard Clewer warmly welcomed the mini-COP idea and said the council could give support to make it happen.
He said: "I think it's great and we need to work out how we take it forward and how we build that up."
The mini-COP could follow on from COP26, the 26th UN Climate Change Conference of the Parties being hosted by the UK in Glasgow from November 1-12.