Inclusion Criteria:

          -  Male or female patients, ≥ 18 years of age at the time of obtaining informed consent.

          -  Documented (histologically- or cytologically-proven) solid tumor malignancy that is
             locally advanced or metastatic; patients with documented lymphoma.

          -  Malignancy (solid tumor or lymphoma) that is currently not amenable to surgical
             intervention due to either medical contraindications or non-resectability of the
             tumor.

          -  Refractory to or intolerant of existing therapy(ies) known to provide clinical
             benefit.

          -  Measurable or non-measurable disease according to RECIST v1.1 or RECIL 2017.

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

          -  Persons of childbearing potential agreeing to use a highly effective method of
             contraception during the study beginning within 2 weeks prior to the first dose and
             continuing until 6 months after the last dose of study drug(s); men agreeing to
             refrain from sperm donation during this period.

        Exclusion Criteria:

          -  Women who are pregnant or intending to become pregnant before, during, or within 6
             months after the last dose of study drug; women who are breastfeeding; persons of
             childbearing potential and not willing to use a highly effective method of
             contraception.

          -  Central nervous system (CNS) malignancies; patients with known, untreated CNS or
             leptomeningeal metastases, or spinal cord compression, patients with any of the above
             not controlled by prior surgery or radiotherapy, or patients with symptoms suggesting
             CNS involvement for which treatment is required.

          -  Hematologic malignancies other than lymphoma.

          -  Active thrombosis, or a history of deep vein thrombosis (DVT) or pulmonary embolism
             (PE) within 4 weeks prior to Cycle 1/Day 1 (C1/D1) unless adequately treated and
             considered stable.

          -  Active uncontrolled bleeding or a known bleeding diathesis.

          -  Clinically significant cardiovascular disease or condition.

          -  Significant ocular disease or condition, including history of an autoimmune or
             inflammatory disorder.

          -  Significant pulmonary disease or condition.

          -  Current or recent (within 6 months) significant gastrointestinal (GI) disease or
             condition.

          -  An active, known, or suspected autoimmune disease, or a documented history of
             autoimmune disease or syndrome, requiring systemic steroids or other immunosuppressive
             medications.

          -  History of organ transplantation (e.g., stem cell or solid organ transplant).

          -  History of significant toxicities associated with previous administration of immune
             checkpoint inhibitors that necessitated permanent discontinuation of that therapy.

          -  Patients with unresolved > Grade 1 toxicity associated with any prior antineoplastic
             therapy except for persistent Grade 2 alopecia, peripheral neuropathy, decreased
             hemoglobin, lymphopenia, hypomagnesemia, and/or end-organ failure being adequately
             managed by hormone replacement therapy.

          -  Inadequate recovery from any prior surgical procedure, or having undergone any major
             surgical procedure within 4 weeks prior to C1/D1.

          -  Known history of human immunodeficiency virus (HIV) or known active infection with
             hepatitis B virus (HBV) or hepatitis C virus (HCV).

        Drugs and Other Treatments Exclusion Criteria:

          -  Part 2 Combination Dose-Escalations ONLY: Prior therapy with:

               -  Sym021 or other inhibitors of PD-1/PD-L1.

               -  Sym022 or other inhibitors of LAG-3, if participating in Arm A.

               -  Sym023 or other inhibitors of TIM-3, if participating in Arm B.

          -  Part 3 Combination Dose-Escalations ONLY: Prior therapy with:

               -  Sym022 or other inhibitors of LAG-3

               -  Sym023 or other inhibitors of TIM-3

          -  Any antineoplastic agent for the primary malignancy (standard or investigational)
             within 4 weeks or 5 plasma half-lives, whichever is shortest, prior to first study
             drug administration and during study, with exceptions.

          -  Any other investigational treatments within 2 weeks prior to and during study;
             includes participation in any medical device or supportive care therapeutic
             intervention trials.

          -  Radiotherapy, with exceptions.

          -  Use of live vaccines against infectious diseases 4 weeks prior to first study drug
             administration and during study.

          -  Immunosuppressive or systemic hormonal therapy within 2 weeks prior to first study
             drug administration and during study, with exceptions.

          -  Prophylactic use of hematopoietic growth factors within 1 week prior to first study
             drug administration and during Cycle 1 of study.