Left ventricular non compaction (LVNC) comprises a heterogeneous group of diseases that can cause heart failure, arrhythmias, and thromboembolic events. In particular, the prevalence of thromboembolism in patients with LVNC is relevant compared to the general population. Atrial fibrillation and left ventricular thrombosis are strong predictors and require anticoagulant treatment in primary or secondary prevention, with a significant reduction in the risk of events. Long-term oral anticoagulation can be considered in patients with LVNC associated with left ventricular systolic dysfunction and sinus rhythm. On the contrary, it is not entirely clear whether the presence of deep intertrabecular recesses that cause blood flow stagnation can itself represent a thrombogenic substrate even in the absence of ventricular dysfunction and in sinus rhythm, thus indicating the use of anticoagulation.This article addresses the open question of the indication for anticoagulant therapy in LVNC, through a review of the current evidence on thromboembolic risk stratification and the initiation of anticoagulant therapy and by proposing a flow-chart as a guide to decision-making according to the clinical picture of the patient.