This review focuses on the expanding role for biomaterials and polymer scaffolds in liver tissue engineering. Studies are subdivided into in vitro and in vivo approaches. The in vitro section of the review discusses the challenges specific to liver tissue engineering, and how the choice of scaffold and its structure influences the success of the regenerative medicine strategy. The in vivo section evaluates early attempts to stimulate liver repair with cell and growth factor therapies, their failings and how current approaches aim to solve these problems.