This is a multi-center, open-label, extension study of patients with late infantile MLD who have previously completed clinical study HGT-MLD-048 (NCT00633139), defined as the completion of all Week 52 procedures. This group of patients will be offered ongoing treatment with HGT-1111 in this protocol. One infusion will be given every other week until the product is commercially available, the patient discontinues, or the study is terminated by the Sponsor, provided no safety issues have emerged.