The present invention is directed to vascular grafts for treating, reconstructing and replacing damaged or diseased cardiovascular vessels that are formed from decellularized extracellular matrix (ECM). The vascular grafts include outer or outer and inner coatings that provide structural reinforcement. In some embodiments, the tubular members comprise at1 ECM/ECM-mimicking biomaterial composition comprising an ECM material and an ECM-mimicking biomaterial, such as poly(glycerol sebacate) (PGS).