Disclosed herein are low Shore A Hardness thermoplastic vulcanizate compositions having high Rebound values. In at least one exemplary embodiment, the compositions include a dispersed at least partially vulcanized rubber component; a thermoplastic component; and process oil; wherein the weight ratio of the thermoplastic component to the rubber component ranges from 80:20 to 15:85; and the thermoplastic component comprises more than 80 wt % of a polypropylene (preferably a random propylene copolymer) having a melting point less than about 105.degree. C. The compositions can be used in molded products, consumer goods and the like.