The described invention provides methods and regimens for treating adverse consequences of a persistent and progressive myocardial injury-due to a vascular insufficiency that occurs early or late in a subject in need thereof, and progressive myocardial injury-preventing compositions that contain a chemotactic hematopoietic stem cell product, and, optionally, an additional active agent. The method treats ongoing vascular insufficiency affecting coronary circulation by (i) stimulating neoangiogenesis in a peri-infarct border zone, thereby improving myocardial perfusion; and, (ii) through a paracrine effect, preventing apoptosis of cardiomyocytes in the peri-infarct border zone. The neoangiogenesis and paracrine-mediated reduction of apoptosis reduces progressive myocardial cell loss, which leads to improvement in cardiac function and a reduction of risk of major adverse cardiovascular events.