Among the primary objectives of contemporary assisted reproductive technology research are achieving the births of healthy singletons and improving overall fertility outcomes. Substantial advances have been made in refining the selection of single embryos for transfer, with the aim of maximizing the likelihood of successful implantation. The principal criterion for this selection is embryo morphology. Morphological evaluation systems are based on traditional parameters, including cell count and fragmentation, pronuclear morphology, cleavage rate, blastocyst formation, and various sequential embryonic assessments. To reduce the incidence of multiple pregnancies and to identify the single embryo with the highest potential for growth, invasive techniques such as preimplantation genetic screening are employed in in vitro fertilization clinics. However, new approaches have been suggested for clinical application that do not harm the embryo and that provide consistent, accurate results. Noninvasive technologies, such as time-lapse imaging and omics, leverage morphokinetic parameters and the byproducts of embryo metabolism, respectively, to identify noninvasive prognostic markers for competent single embryo selection. While these technologies have garnered considerable interest in the research community, they are not incorporated into routine clinical practice and still have substantial room for improvement. Currently, the most promising strategies involve integrating multiple methodologies, which together are anticipated to increase the likelihood of successful pregnancy.