Abstract: A process is disclosed for producing feedstocks for manufacturing high quality lube base oil utilizing unconverted oil, which is produced from a fuels hydrocracker unit. The first step of the process is the distillation of an atmospheric residue under vacuum in a first vacuum distillation unit to produce a vacuum gas oil. The vacuum gas oil is then hydrotreated in a first reaction unit to remove impurities and produce a treated vacuum gas oil. The treated vacuum gas oil is then subjected to hydrocracking in a second reaction unit to yield light hydrocarbons. The light hydrocarbons are then subjected to a series of fractional distillations to separate light oil products and an unconverted oil. All or a fraction of the unconverted oil is fed to a second vacuum distillation unit to produce feedstocks of high quality lube base oil and a remaining portion. The remaining portion and, optionally, a fraction of the unconverted oil is recycled from the second vacuum distillation unit to the second reaction unit.