Comprehensive Care Payment Innovation Act - Amends title XVIII (Medicare) of the Social Security Act (SSA) to direct the Secretary of Health and Human Services (HHS) to provide for bundled payments for integrated care furnished by a qualified entity, during an episode of care for applicable conditions involving a hospitalization, to an individual entitled to, or enrolled for, benefits under Medicare part A (Hospital Insurance) and enrolled for benefits under Medicare part B (Supplementary Medical Insurance), but not enrolled under Medicare part C (Medicare+Choice Program) or in a PACE (Programs of All-Inclusive Care for the Elderly) program.