The present invention relates to methods and pharmaceutical compositions for the prevention or in delaying time to first occurrence of mortality, in particular cardiovascular death, and/or of cardiovascular hospitalizations in a patient suffering from chronic systolic heart failure, comprising administration of a therapeutically effective amount, or a prophylactically effective amount, of an Angiotensin Receptor Neprilysin inhibitor (ARNi) or of a combination of an Angiotensin Receptor Blocker (ARB) with a Neutral Endopeptidase inhibitor (NEPi) or with a NEPi pro-drug to said patient.