An integrated method comprising Data Envelopment Analysis (DEA) and machine learning (ML) for risk management is proposed in this paper. Initially, in the process of risk assessment, the DEA cross-efficiency method is used to evaluate a set of risk factors obtained from the Failure Mode and Effect Analysis (FMEA). This FMEA-DEA cross-efficiency method not only overcomes some drawbacks of FMEA, but also eliminates several limitations of DEA to offer a high discrimination capability of decision units. For risk treatment and monitoring processes, an ML mechanism is utilized to predict the degree of remaining risk depending on simulated data corresponding to the risk treatment scenario. Prediction using ML is more accurate since the predictive power of this model is better than that of DEA which potentially contains errors. Based on a case study with a group of logistics service providers, the results ascertain that the combined DEA and ML approach offers a flexible and reasonable alternative in risk management. The approach allow decision-makers or managers to assess and monitor the risk level for handling forthcoming events in unusual conditions. It also serves as a useful knowledge repository such that appropriate risk mitigation strategies can be planned, along with the predicted results. The outcome of our empirical evaluation indicates that the proposed approach contributes towards robustness in sustainable business operations.