The Special session will discuss status, magnet and conductor technology needs for future very high magnetic field applications. Possible potentially-commercial or large-volume applications include imaging, rotating machinery, fusion and accelerator technology. In these applications, high fields promise the system performance improvements beyond magnetic field-generating assembly, compact devices and reduced weight. Several presentations will address status of the high-field, >10 tesla, ReBCO, BSCCO and TMC conductors. HTS and TMC conductor needs will be discussed including technical characteristics and manufacturing demands. The magnet technology challenges include but not limited to interactions with the system components, high forces and stresses, quench protection, operation at high currents, high voltage insulation, manufacturing issues.