Local party officials who are in Birmingham for the Conservative party conference have been offering advice to David Cameron about what he needs to do to prepare for the next general election and win outright.
Daniel Hannan, Conservative MEP for the South East of England, told the Today programme that the party should consider a referendum on Britain's EU membership.
"No government ever gets unpopular by asking people what they think. The referendum on the EU should be one among many referendums because we should be a government that trusts people," he said.
Phillip Blond from think tank ResPublica said the Tories face a challenge appealing to "left-wing" Conservatives.
He said: "The great disaster for the Conservative party is that it has no left wing. And because of that it has no way to appeal beyond its base to those who don't necessarily share the views of the active minority, and that puts the Conservative party in a very difficult position."
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