Inclusion Criteria: 1. Age = or > 18 years. 2. For subjects enrolling in food-effect assessment (Part C) only: a. Subject must agree and be willing to consume a standard high-fat, high-calorie meal. b. Subject must be willing to refrain from caffeine or xanthene-containing products (coffee, tea, cola, chocolate, etc.) for 48 hours prior to dosing on Cycle 1 Day 4 and Cycle 2 Day 4 and up to 24 hours post dose. 3. Subjects with histological or cytological confirmation of either: 1. In Part A, advanced or unresectable solid tumors or advanced relapsed and/or refractory Non-Hodgkin lymphoma (ie, Diffuse large B-cell lymphoma and Follicular lymphoma or Marginal zone lymphoma) including those who have progressed on (or not been able to tolerate due to medical comorbidities or unacceptable toxicity) standard anticancer therapy or for whom no other approved conventional therapy exists. 2. In Part B dose expansion, - Cohorts 1 and 3: relapsed and/or refractory DLBCL following at least 2 prior lines of therapy (e.g. have failed at least one line of standard therapy and have received at least one prior line of salvage therapy) OR have failed at least one prior line of standard therapy and are not eligible for autologous stem cell transplant (ASCT) or have declined ASCT; transformed lymphoma following chemotherapy for lower grade lymphoma and at least two standard treatment regimen for DLBCL. Subjects with two or more lines of systemic therapy must have been treated with and have lack of response after chimeric antigen receptor (CAR) T-cell therapy, if such therapy is available, OR be ineligible for CAR T-cell therapy at the time of enrollment, OR subject declined CAR T-cell therapy. - Cohort 2: advanced basal cell carcinoma including those who have progressed on (or not been able to tolerate due to medicalcomorbidities or unacceptable toxicity) standard anticancer therapy or for whom no other approved conventional therapy exists. In Part C, advanced or unresectable solid tumors including those who have progressed on (or not been able to tolerate due to medical comorbidities or unacceptable toxicity) standard anticancer therapy or for whom no other approved conventional therapy exist 4. At least one site of measurable disease for subjects with solid tumors; bi-dimensionally measurable disease on cross sectional imaging with at least one lesion >1.5 cm for subjects with NHL. For subjects with rare malignancies evaluable disease can be considered. 5. Tumor biopsies whenever safe and feasible will be collected in Part A, except for subjects with GBM. Subject consents to mandatory tumor biopsies (Screening and on treatment) in Part B. In exceptional circumstances an exemption waiver may be granted by the Sponsor for this criterion 6. ECOG PS of 0 to 1. 7. Either commit to true abstinence or agree to use effective contraceptive methods and follow pregnancy precautions Exclusion Criteria: Principal Exclusion Criteria 1. Subject has received anti-cancer therapy (either approved or investigational) within <or= 4 weeks or 5 half-lives, whichever is shorter prior to starting CC-90010. 2. Subject has received prior CAR T-cell therapy or other T-cell targeting treatment (approved or investigational) ≤ 4 weeks prior to starting CC-90010. 3. Toxicities resulting from prior systemic cancer therapies must have resolved. to ≤ NCI CTCAE Grade 1 prior to starting CC-90010 treatment 4. Subject has received autologous hematologic stem cell transplant (HSCT) <or= 3 months prior to starting CC-90010 treatment. Subjects with allogeneic HSCT will not be allowed on this protocol. 5. Major surgery <or= 4 weeks or minor surgery <or= 2 weeks prior to starting CC-90010 or subjects who have not recovered from surgery. 6. Completed radiation treatment < 4 weeks prior to starting CC-90010. 7. Symptomatic, untreated, or unstable central nervous system (CNS) metastases. 8. Known symptomatic acute or chronic pancreatitis. 9. Impaired cardiac function or clinically significant cardiac diseases. 10. Pregnant or nursing females. 12. History of concurrent second cancers requiring active, ongoing systemic treatment. 13. History of clinically significant cognitive disorder(s) or active cognitive disorder(s). 13. Evidence of history of bleeding diathesis. 14. Subjects with known prior episodes of non-arteritic anterior ischemic optic neuropathy (NAION) should be excluded from the study. CC-90010 should be used with caution in subjects with retinitis pigmentosa 15. Any significant medical condition that would prevent the subject from participating (or compromise compliance) in the study or would place the subject at unacceptable risk if he/she were to participate in the study. 16. Patients with poor bone marrow reserve as assessed by the Investigator such as in the following conditions: - Having received extensive bone radiotherapy - Having experienced several episodes of bone marrow aplasia in previous treatments - Confirmed histological bone marrow cancer infiltration (with exemption of NHL) - Requiring regular hematopoietic support (blood transfusion, erythropoietin, GCSF)