In Part B approximately 50 evaluable patients with non-GCB DLBCL will be enrolled. Patients will receive AZD2014 and ibrutinib at the doses established in Part A in 28-day cycles until there is unacceptable toxicity, disease progression, or the patient withdraws consent. Assessment for response or progressive disease will occur after Cycle 3 and every 3 cycles through the first year, and then every 6 cycles (6 months) thereafter.