Inclusion Criteria:

          -  Males and females who are ≥ 18 years old

          -  Eastern Cooperative Oncology Group (ECOG) performance status of 0, 1 or 2.

          -  Failed at least 2 prior systemic standard therapies.

          -  Histopathological confirmed diagnosis of CLL/SLL, indolent NHL,and other NHL subtypes.

          -  Documented active disease that is relapsed/resistant or refractory requiring treatment
             after established therapy shown to have clinical benefit.

          -  Acceptable bone marrow, kidney, and liver function.

          -  No transfusion or cytokine support for ≥ 2 weeks before initiating study treatment.

          -  Ability to swallow and retain oral medications (see exclusion criteria #20 below).

          -  Negative serum pregnancy test in women of childbearing potential at Screening.

          -  Women of childbearing potential and men who partner with a woman of childbearing
             potential must agree to use effective contraceptive methods.

          -  Men must agree to no sperm donations during the study and for 3 months after the last
             dose of ZX-101A.

          -  Understands the requirements of the study (e.g. periodic imaging studies, periodic
             blood sampling, bone marrow studies), is willing to comply with all study procedures
             and signed the Institutional Review Board (IRB)-approved informed consent.

        Exclusion Criteria:

          -  Received investigational study drug within 28 days (or 5 half-lives, whichever is
             longer).

          -  Concurrent participation in another therapeutic treatment trial.

          -  Received approved anti-cancer drugs within 21 days (42 days for nitrosoureas) or 5
             half-lives, whichever is longer.

          -  Ongoing immunosuppression for chronic conditions.

          -  Known active hepatitis B virus (HBV), hepatitis C virus (HCV), or HIV infection.

          -  Any concurrent uncontrolled illness.

          -  Has not recovered from adverse events from prior anti-cancer treatment (with exception
             of alopecia).

          -  Pregnant or breast-feeding or planning to conceive or father children within the
             projected duration of the study.

          -  Major surgery within 4 weeks prior to first dose of study treatment.

          -  Radiation treatment within 2 weeks prior to first dose of study treatment.

          -  Gastrointestinal dysfunction, including motility or malabsorption syndromes or
             inflammatory bowel disease which could limit absorption of study drug.

          -  Active or prior pneumonitis or interstitial lung disease.

        Other inclusion and exclusion criteria may apply.