Precision medicine (or personalized medicine) is an intriguing, and still involving part of modern medicine. Theragnostics is a combination of therapies and diagnostics targeting pathophysiological processes at molecular level using radiopharmaceuticals. It is a valuable resource in efforts to implement precision medicine in clinical practice, but the theragnostic era poses an abundance of challenges. The aim of the present paper study was to analyze some of these challenges in the field of theragnostics, irrespective of their clinical applications. Three experts in this field discussed the balance between the demand, the costs of theragnostics, the need of appropriate infrastructures, and the opportunities for new developments in this area.