For more than two decades, individually and with many collaborators, we have actively explored immersive 3D telepresence technology. Since 2011, we have been working within the BeingThere International Research Centre for Tele-Presence and Tele-Collaboration, a joint research effort among Nanyang Technological University (NTU) in Singapore, ETH Zurich in Switzerland, and the University of North Carolina (UNC) at Chapel Hill. In this paper we present a brief overview of some of our recent immersive 3D telepresence work, focusing on major issues, recent results, and remaining challenges, mainly with respect to 3D acquisition and reconstruction, and 3D display.