The invention pertains to a process for converting a feedstock comprising cyclic alkyleneureas into their corresponding alkyleneamines, comprising —a CO2 removal step in which cyclic alkyleneureas are converted into their corresponding alkyleneamines by reacting cyclic alkyleneureas in the liquid phase with water with removal of CO2, —an amine removal step wherein cyclic alkyleneureas are converted in a reactive separation process into their corresponding alkyleneamines by reaction with an amine compound selected from the group of primary amines or secondary amines which have a higher boiling point than the alkyleneamines formed during the process. It has been found that the combination of a CO2 removal step and an amine removal step makes it possible to convert alkyleneureas into the corresponding amines in an efficient manner in a high reaction rate.