A data processing arrangement (MPS) comprises a plurality of data processors (SPR, PM1, . . . , PM4) that can be reset individually. A reset module (RSM) handles various reset request signals (HRG, SRG, SRP1, . . . , SRP4) in accordance with a prioritization and timing scheme so as to obtain respective reset signals (GRS, PRS1, . . . , PRS4) for respective data processors (SPR, PM1, . . . , PM4). The reset module (RSM) preferably comprises a reset request register, which stores respective reset requests that the respective reset request signals convey, and a request execute register, which stores respective granted reset requests that the reset signals convey.