Inclusion Criteria:

- Able to provide signed, informed consent;

- Male or female, >/=18 years old;

- Meets clinical trial criteria for a diagnosis of multiple myeloma (Appendix 1)

- Stage II or III at study entry by Durie-Salmon staging, with either renal function
subclassification (A or B) allowed (Appendix 2).

- Secretory multiple myeloma one or more criteria for measurable disease (serum M
protein >1.0 gm/dl measured by serum protein electrophoresis, serum free light chain
measurement >200 mg/dl, urinary M protein excretion >200 mg/24 hours);

- Refractory or relapsed to at least two prior standard systemic anti-myeloma treatment
regimens;

- Adequate performance status (Karnofsky Scale >/= 60%);

- Life expectancy at least 6 months;

- Adequate hematologic status within 2 weeks before study drug administration:

- Hemoglobin >8.0 g/dL and platelets > 50,000/mm3 (both without transfusion or other
hematologic support within 7 days of laboratory testing)

- White blood count (WBC) > 2,000/mm3and absolute neutrophil count (ANC) >1,000/mm3
(both without the use of colony stimulating factors within 7 days of laboratory
testing)

- Adequate renal function: serum creatinine < 1.5 x the upper limit of normal (ULN);

- Adequate hepatic function AST or ALT < 2.5 x the ULN; Total bilirubin < 1.5 x the
ULN

Exclusion Criteria:

- Pregnant or lactating women.

- Women of childbearing potential and fertile men who are not practicing or who are
unwilling to practice birth control while enrolled in the study until at least 12
weeks after the last hLL1 infusion;

- Prior chemotherapy, immunotherapy, radiotherapy, plasmapheresis, kyphoplasty, or
major surgery within 4 weeks; prior stem cell transplant within 12 weeks; prior
treatment with rituximab within 6 months. Must have recovered from all toxicity from
prior treatments;

- Prior therapy with other murine, chimeric, human or humanized monoclonal antibodies,
unless HAHA tested and negative;

- Prior treatment with any investigational agents within 3 months, unless completed
follow-up, off study, and agreed by Sponsor;

- Prior malignancy within 5 years, excluding multiple myeloma, non-melanoma skins
cancers and cervical carcinoma in situ;

- Known to be HIV positive, or hepatitis B or C positive;

- Known autoimmune disease or presence of autoimmune phenomena;

- Systemic infection or requiring anti-infectives within 7 days before first dose of
study drug;

- Substance abuse or other concurrent medical conditions that, in the investigator's
opinion, could confound study interpretation or affect the patient's ability to
tolerate or complete the study.