Drug safety monitoring is essential for developing efficient and safe treatments. It starts with preclinical toxicology studies and continues with the observation and analysis of potentially harmful effects in humans throughout the whole drug life cycle. Safety surveillance during the clinical phase is of paramount importance for protecting the health of clinical trial (CT) participants at a period when relatively little is known about the drug safety profile, and for reassuring that detected risks are minimized when the product obtains marketing approval. This review aimed to investigate current safety surveillance methods during drug development worldwide, in order to identify potential gaps and opportunities for amelioration. To this end, international guidelines, standards, and local legislations about CTs were reviewed and compared. Our review revealed common strategies, mainly in alignment with international guidelines, especially concerning the systematic collection, assessment, and expedition of adverse events by investigators and sponsors and the preparation of periodic aggregate safety reports by sponsors, as a means to inform health authorities (HAs) about the evolving benefit-risk balance of the investigational product. Inconsistencies in safety surveillance mainly concerned local expedited reporting requirements. Significant gaps were identified in the methodologies for aggregate analyses and the responsibilities of HAs. Addressing the regulatory discrepancies and harmonizing the safety surveillance processes at a global level would increase the usability of safety data accumulated by clinical studies worldwide, thus enabling and hopefully accelerating the development of safe and efficient drug therapies.