This clinical trial will recruit patients diagnosed with glioblastoma at the time of recurrence or progression following prior treatment with surgery, radiation therapy and alkylating chemotherapy. Patients will be screened and if found eligible will be randomized to one of two treatment arms (1:1 randomization). Patients randomized to the Axitinib treatment-arm will be treated with Axitinib until progression (they can be treated after progression in the Axitinib plus lomustine arm), unacceptable treatment related toxicity, or patients refusal to continue study treatment. Patients randomized to the Axitinib plus Lomustine-arm will receive treatment until progression, unacceptable treatment related toxicity, or patients refusal to continue study treatment.