I found this encouraging London-based organisation, called HAFLA:

What We Do: Hafla is a London-based organisation creating cultural events, celebrating a vision of peace and prosperity in the Middle East. We bring together Israelis and Palestinians, Muslims, Arabs and Jews and all people who are committed to creating peace in this part of the world.

Our Name: The word 'HAFLA' is common to both Arabic and Hebrew and means 'celebration' or 'party'. It has a particular connotation as being the third stage of a reconciliation process that comes after the stages of truce and forgiveness. As a group HAFLA asks you to imagine such a celebration.

Our Vision: We have a vision of the Middle East where each of the many and extraordinary cultures present there acknowledge, love and respect each other, as much for the many obvious similarities as well as the differences. We therefore focus on creating events that provide a platform for artists from many disciplines to express their vision of life in this part of the world, and we ask our audiences to share in this cultural feast!

HAFLA is in the process of becoming a registered Charity.