Methods for soft tissue repair and/or augmentation using injectable, biodegradable polymers are described herein. In one embodiment, the polymer compositions are liquid or pastes at room temperature. In a preferred embodiment, the polymer composition contains liquid or pasty hydroxy fatty acid-based copolyesters, polyester-anhydrides, or combinations thereof. The viscosity of the polymers increases upon contact with bodily fluid to form a solid or semisolid implant suitable for soft tissue repair and/or augmentation. In another embodiment, the polymer composition contains particles of a polymer stereocomplex. One or more active agents may be incorporated into the polymer compositions. Suitable classes of active agents include local anesthetics, anti-inflammatory agents, antibiotics, analgesics, growth factors and agents that induce and/or enhance growth of tissue within the filled cavity or control the growth of a certain type of tissue, and combinations thereof. The polymer compositions may also contain one or more additives or excipients that modify the physical and/or mechanical properties of the polymer. The polymer compositions are typically administered by injection. The injectable polymers can be used for a variety of soft tissue repair and augmentation procedures.