Inclusion Criteria:

- Diagnosed with HL or ALCL.

- Patients must provide tumor tissue for confirmation of histologic diagnosis and
presence of CD30 in the tumor tissue. Archived paraffin embedded samples are
acceptable for patients who have no prior exposure to another anti-CD30 therapy and
samples should be provided from the most recent biopsy and if possible from the
original biopsy as well. Patients who have previously received anti-CD30 regimens
must also have a biopsy performed and assessed for CD30 expression prior to study
enrollment to confirm the presence of CD30 in the tumor tissue. The biopsy may be
performed during the screening period or may have been performed after progression
from the last anti-tumor therapy was completed.

- Patients must have received two or more prior therapeutic regimens, one of which
should include hematopoietic cell transplant, either autologous or allogeneic
transplant.

- If a hematopoietic cell transplant was refused, or the patient was not eligible to
receive a transplant, the patient is still eligible to participate in the trial if
the patient has received two or more prior chemotherapy based regimens.

- Patients who have received allogeneic transplant must not have relapsed less than 6
months after their transplant and they must be at least 200 days post-transplant
prior to enrollment. Additionally, there must be no evidence of GVHD and the patient
must be stable without immunosuppressive treatment, including systemic
corticosteroids (per os [po] or iv), for > 3 months prior to enrollment.

- Patients who have previously received any targeted anti-CD30 therapies are eligible
provided that the therapy was completed at least 6 months prior to enrollment, there
is no residual toxicity, and there is evidence of CD30 positivity on recent or new
biopsy. Additionally, these patients must be negative for anti-XmAb2513 antibodies.

- Patients should have at least one radiographically measurable site of disease of 1.5
cm in the largest dimension.

- Patients must have completed all anti-cancer treatment > 4 weeks prior to enrollment.
Patients who have received a hematopoietic cell transplant must have completed
immunosuppressive treatment, including systemic corticosteroids for > 3 months prior
to enrollment.

- Patients must have completed any palliative corticosteroid therapy (e.g. for
management of Type B symptoms) > 2 weeks prior to enrollment.

- Patients must have received two or more prior therapeutic regimens, one of which
should include hematopoietic cell transplant, either autologous or allogeneic
transplant.

- Patients must be 18 years of age.

- Required baseline laboratory data:

- Platelet count 80,000/mm3 (patients must not be platelet transfusion-dependent
as evidenced by maintenance of platelet count above 50,000/mm3 in the 28 days
prior to enrollment without transfusion)

- Absolute neutrophil count > 1,500/mm3

- Creatinine ≤ 1.5 times ULN

- ALT (SGPT) /AST (SGOT) ≤ 2.5 times upper limit of normal (ULN)

- Total bilirubin ≤ 1.5 times ULN

- Patients must have an Eastern Cooperative Oncology Group (ECOG) performance status of
0-1.

Exclusion Criteria:

- Patients receiving treatment with an investigational agent, concurrently or within 28
days prior to dosing in this study.

- Patients with known HL or ALCL involvement of either the leptomeningeal or central
nervous system.

- Patients who received prior anti-CD30 therapy AND with anti-XmAb2513 antibodies in
serum detected by the Xencor screening assay.

- Patients requiring treatment with oral or intravenous corticosteroids or other oral
or intravenous immunosuppressive agents.

- Patients that have been designated Class III or IV by the New York Heart Association
criteria.

- Patients with a history of myocardial infarction or stroke within the last 6 months.

- Patients with known hypersensitivity to any excipient contained in the drug
formulation.

- Patients with active infection are not eligible. This includes patients requiring
anti-infective treatment during the 4 week period prior to enrollment. Patients on
prophylactic anti-infective agents will be eligible provided they have no signs of
active infection.

- Patients who are known to be HIV, Hepatitis B, or Hepatitis C positive.

- Patients with a history of prior malignancy other than HL or ALCL that have not been
in remission for greater than 5 years, with the exception of basal or squamous skin
carcinoma, cervical carcinoma in situ on biopsy, or localized prostate cancer
(Gleason score < 5).

- Patients who are pregnant or breastfeeding.

- Patients with major surgery or radiation therapy within four weeks prior to
enrollment.