The investigators propose a novel R-ICE-like salvage combination regimen in which rituximab is substituted with ofatumumab and ifosfamide with bendamustine in combination with carboplatin and etoposide for refractory or relapsed aggressive B cell lymphomas. The investigators hope to avoid the substantial ifosfamide mediated urinary bladder toxicity (incidence of grade 3 and 4 hemorrhagic cystitis 8-12%) and neurologic toxicity (10-30%: somnolence, confusion, psychosis and seizure) by substituting ifosfamide for bendamustine. The proposed regimen is convenient and can be administered on the outpatient basis which presents an additional benefit to the patients and to the providers. The investigators propose a phase I/II clinical trial and will first determine safety and toxicity of escalating dose bendamustine in combination with fixed doses of ofatumumab, carboplatin and etoposide. The investigators recognize that the commonly used doses of bendamustine in lymphoid malignancies range from 70-120 mg/m2. The investigators will determine maximum-tolerated dose (MTD) and dose-limiting toxicity (DLT) of the combination by using dose escalation of bendamustine from 70mg/m2 in a standard 3 by 3 design. The investigators will then assess efficacy of the combination regimen in relapsed and refractory aggressive B-cell lymphomas.