Enclave =  a group of people who are different from the people living in the surrounding area.

• A Tamil speaking enclave in London.
• Vatican city is an example of an enclave in Rome.
• The central part of Thrissur city is a Christian enclave.
• That territory is an American enclave inside Afghanistan.

Conclave = Conference, convention, session etc.

• The annual conclave of newspaper publishers.
• The Young Women’s Leadership Conclave held at Thrissur at the initiative of Prof.Philip Sabu evoked tremendous response from the public.

(2) conclave = a confidential or secret meeting.

• A conclave of political leaders.
• The conclave of cardinals elected the new Pope.