This is a Phase II, national, multicenter, open-label, non-comparative study to investigate the efficacy and safety of bevacizumab and temozolomide in patients with recurrent glioblastoma multiforme (GBM) after a first treatment failure. Patients will receive bevacizumab 10 mg/kg intravenously every two weeks until disease progression, consent withdrawal, or unacceptable toxicity. Anticipated time on study treatment is 12-24 months.