Approximately 50% of individuals eligible for transcatheter aortic valve implantation (TAVI) have coronary artery disease (CAD). The influence of CAD, both its prevalence and severity, on post-TAVI clinical results has yielded conflicting findings. Recent research has shown positive results for the use of computed tomography angiography and functional percutaneous evaluation of coronary lesions in the pre-TAVI assessment, besides the classic coronary angiography. As we anticipate the outcomes of current randomized studies, it has become common practice to perform invasive revascularization on TAVI patients with obstructive CAD. Furthermore, there is a lack of comprehensive data about the occurrence, features, and treatment of coronary incidents after TAVI. There is also growing concern about the possible difficulties in accessing the coronary arteries in patients who need coronary angiography with or without intervention after TAVI. This review presents a comprehensive analysis of the contemporary treatment options of CAD in patients undergoing TAVI. In this context, it examines the incidence of CAD in TAVI candidates; its clinical significance; the assessment and management of CAD before, concomitant, and after the procedure, including patients’ unresolved concerns; and possible future aspects.