Patients receive brentuximab vedotin intravenously (IV) over 30 minutes on day 1 and everolimus orally (PO) once daily (QD) or every other day (QOD) on days 1-21. Treatment repeats every 21 days for up to 15 courses in the absence of disease progression or unacceptable toxicity. Patients then receive brentuximab vedotin IV over 30 minutes on day 1 and everolimus PO QD or every other day on days 1-84 for 1 course.