The invention relatesto the field of molecular medicine. Inparticular, it relates to compositionsand methods to enhance the clearanceof aberrant cells, e.g. cancer cells orvirus-infected cells, by the host'sim-mune system. Provided is acomposi-tion comprising (i) a therapeuticcom-pound that can trigger a host'sim-mune effector cells against anaber-rant cell, such as a therapeuticanti-body, and (ii) at least one agentcapa-ble of reducing or preventingin-hibitory signal transduction initiatedvia SIRPalpha.