A remanufactured pump includes a casing and a pumping mechanism positioned within the casing having a rotatable pump shaft and an impeller mounted upon the pump shaft and rotatable within a pumping chamber in the casing. A first insert is held fast within a first bore in the casing, and a second insert is held fast within a second bore in the casing, each via an interference fit. Sealing mechanisms are positioned within the first and second inserts to form a first seal about the pump shaft to prevent leakage of a working fluid from the pumping chamber, and a second seal about the pump shaft to prevent leakage of a lubricating fluid from a bearing chamber in the casing. Related methodology is also disclosed.