The current front-runners in the party race are Jenrick and Badenoch, both of whom are appealing to the party's right wing. Jenrick argues that the U.K. should curb immigration and leave the European Convention on Human Rights in order to take tough measures to stop people seeking asylum in the U.K.

The four candidates vying to be the next leader of Britain's Conservatives began to outline their vision for the nation on Sunday, with immigration due to dominate the debate over the future of the party after a crushing election defeat.

Britain's opposition Conservatives gather for an annual conference on Sunday, licking their wounds from an historic election defeat and locked in battle over the party's future direction.Britain's new opposition leader -- and the person tasked with reuniting the party and making it electable again -- will be announced on Saturday November 2.