Inclusion Criteria:  Age ≥ 60 years old Stable chronic HF on maximally tolerated background treatment for at least 2 months (stable therapy with ACE-I, ARBs and MRA for at least 2 months), regardless of LVEF with no limitation of physical activity in ordinary physical activity (i.e. NYHA class I), moderate symptoms (i.e. NYHA class II) or marked limitation in activity (i.e. NYHA class III) Able to perform cognitive and physical training.  Exclusion Criteria:  Acute cardiovascular event 1 month prior to randomization, including emergency visit or hospitalization for decompensated HF, acute myocardial infarction, stroke, and transient ischemic attack Planned cardiovascular intervention within 6 months (implantation of any cardiac device, cardiac revascularization, heart transplantation) Severe exercise intolerance Contraindications for exercise testing (e.g., uncorrected severe aortic or carotid stenosis, severe pulmonary hypertension, severe non-revascularizable coronary disease including left main coronary stenosis, significant myocardial ischemia or arrhythmia during low-intensity exercise, acute HF) Severe respiratory disease Non-cardiopulmonary limitation to exercise (e.g., arthritis, claudication or any peripheral neurological disease including other neurodegenerative diseases such as disabling Parkinson) Uncontrolled diabetes or untreated thyroid dysfunction Current or recent malignancy with life expectancy < 1 year Chronic hemodialysis or peritoneal dialysis Unable to read the informed consent form or unable to understand the oral explanations provided by the assessor.