Transcatheter aortic valve implantation (TAVI) has emerged as a therapeutical option in patients with aortic stenosis. The methodology has evolved rapidly throughout the last decade. Nowadays, peri-procedural circulatory support, surgical vascular access, general anesthesia and mechanical ventilation are mainly reserved for selected patients. However, numerous challenges need to be addressed in order to further improved outcome of this distinct cohort: patient selection in general, vascular access strategies, long-term valve performance and paravalvular leakage. Another key issue is the risk of cerebrovascular events related to TAVI. In this article, the authors review the current literature on the risk of cerebrovascular events, the underlying mechanisms, the diagnostic read-outs of cerebral injury and their prognostic value, and ultimately discuss conceivable concepts for prevention of stroke associated with TAVI.