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To facilitate the practical implementation of the guidance on the residue definition for dietary risk assessment, EFSA has organized an evaluation of applicability of existing in silico models for predicting the genotoxicity of pesticides and their metabolites, including literature survey, application of QSARs and development of Read Across methodologies. This paper summarizes the main results. For the Ames test, all (Q)SAR models generated statistically significant predictions, comparable with the experimental variability of the test. The reliability of the models for other assays/endpoints appears to be still far from optimality. Two new Read Across approaches were evaluated: Read Across was largely successful for predicting the Ames test results, but less for in vitro Chromosomal Aberrations. The worse results for non-Ames endpoints may be attributable to the several revisions of experimental protocols and evaluation criteria of results, that have made the databases qualitatively non-homogeneous and poorly suitable for modeling. Last, Parent/Metabolite structural differences (besides known Structural Alerts) that may, or may not cause changes in the Ames mutagenicity were identified and catalogued. The findings from this work are suitable for being integrated into Weight-of-Evidence and Tiered evaluation schemes. Areas needing further developments are pointed out. • There is increased interest for Structure-Activity approaches by regulatory bodies, particularly QSAR and Read Across. • EFSA organized an evaluation of in silico models for predicting the genotoxicity of pesticides and their metabolites. • The project includes literature survey, application of QSARs and development of Read Across methodologies. • The methods were assessed on a new, publicly available EFSA genotoxicity database of pesticides and metabolites. • This paper summarizes the main results of the study. [ABSTRACT FROM AUTHOR]