Epidermal growth factor receptor (EGFR) tyrosine kinase inhibitors (TKIs) represent the standard of care for advanced non-small cell lung cancer (NSCLC) patients whose tumor harbors an activating EGFR mutation. The vast majority of patients will experience disease control with an EGFR-TKI but inevitably all patients will progress, often within a year of treatment. There is no current standard of care for this scenario but, in clinical practice, most of the patients will be offered platinum-based doublet chemotherapy. In some situations, continuation of the EGFR-TKI beyond radiological progression, with or without use of local treatments in case of oligo-progressive disease, represents a reasonable therapeutic option. The aim of this review is to describe the different treatment strategies that have been developed to tackle progression on EGFR-TKIs, including specific clinical scenarios and novel agents designed to tackle the common T790M resistance mutation.