Neville was the founding executive director of the Southern Africa Trust, an independent regional funding agency that supports deeper and wider policy engagement between governments and non-state actors to overcome poverty in Southern Africa. He is the chairperson of the Open Society Initiative for Southern Africa (OSISA), the chairperson of the Open Society Foundations’ Africa regional advisory committee, a member of the Africa Policy Advisory Board of Bono’s ONE campaign, a trustee of the International NGO Training and Research Centre (INTRAC), and a senior fellow of the Synergos Institute.

He was a member of the founding steering committee of the African Grantmakers’ Network (AGN). He previously worked at Oxfam as its southern Africa regional media and advocacy coordinator and at the Southern African Catholic Bishops’ Conference (SACBC), where he was its secretary for economic justice and later coordinator of its Justice and Peace Department, and helped to establish its South African parliamentary liaison office and its associate agency the Denis Hurley Institute for International Solidarity and Peacebuilding.