The present study focuses on strategic factors underlying the adoption of radical product innovations in SMEs. It investigates whether market focus, technological posture and entrepreneurial orientation lead to the adoption of more radical product innovations. The study provides some new evidence on this issue drawing upon data collected from Greek SMEs in the food and beverages industry. More specifically, a logistic regression model is applied to analyse the choice between radical as against incremental product innovations. Empirical results appear to support the claim that it is mainly entrepreneurial orientation that favours the choice of radical product innovations. This suggests that in SMEs the notion of entrepreneurial-push outweighs both market-pull and technology-push arguments. The findings are discussed in the context of Greece, taking into account the specific conditions prevailing. Apart from providing some new evidence in the important area of SMEs, they have also important implications for managers and policy-makers. In addition, they encourage further theoretical and empirical investigation.