This is a Phase I, multi-center, open-label, first-in-human study to determine the MTD and RP2D of DBPR112 and to assess the safety, tolerability and PK of DBPR112 in Asian patients. Patients with non-small cell cancer (NSCLC) who have progressed following prior therapy with an epidermal growth factor receptor (EGFR) tyrosine kinase (TK) inhibitor or in patients with squamous cell cancer of head and neck (SCCHN) who have progressed following prior standard therapy will be selected. Approximately 24 to 30 patients will be enrolled in this study as out patients/inpatients, in 2 study centers in Taiwan.