Study of BGB-10188 as Monotherapy, and in Combination With Zanubrutinib, and Tislelizumab

Key Inclusion Criteria: Parts A, B and C 1. Confirmed diagnosis of one of the following: * Part A: R/R CLL/SLL, R/R MZL, R/R FL, R/R MCL or R/R DLBCL * Part B: R/R FL, R/R MCL, or R/R DLBCL * Part C: R/R FL, R/R MCL, or R/R DLBCL CLL = chronic lymphocytic leukemia; SLL = small lymphocytic lymphoma; MZL = marginal zone lymphoma 2. Participants with MZL, FL, MCL, DLBCL, or SLL must have at least one bi-dimensionally measurable nodal lesion \>1.5 cm in the longest diameter or extranodal lesion that is \> 1cm in the longest diameter by computed tomography (CT) scan or magnetic resonance imaging (MRI), as defined by the Lugano Classification. Parts D and E 3. Part D: Histologically or cytologically confirmed unresectable locally advanced or metastatic solid tumors previously treated with standard systemic therapy (including prior chemotherapy, radiotherapy, target therapy and immunotherapy as locally, or guidance approved therapy) or for which treatment is not available or not tolerated. Enrollment will be limited to participants with advanced solid tumors for which there is clinical evidence of response to T-cell based immuno-oncology agents (eg, non-small cell lung cancer \[NSCLC\], small cell lung cancer \[SCLC\], head and neck squamous cell cancer, hepatocellular carcinoma, gastric or gastroesophageal junction carcinoma, nasopharyngeal carcinoma, renal cell carcinoma, cervical cancer, triple-negative breast cancer, ovarian cancer (OC), endometrial carcinoma, esophageal cancer, melanoma, urothelial carcinoma or participant with confirmed microsatellite instability-high \[MSI-H\] or mismatch repair deficient \[dMMR\] solid tumor, etc). Enrollment of tumor types beyond above situations requires sponsor's approval. 4. Part E: Participants with histologically or cytologically confirmed epithelial OC (including fallopian or primary peritoneal cancer) previously treated with 1 to 3 lines of systemic anticancer treatment; must be platinum resistant and checkpoint inhibitor (CPI) naïve. 5. Participants must have measurable disease as assessed by RECIST v1.1. Key Exclusion Criteria: Parts A, B and C 1. History of allogeneic stem-cell transplantation or chimeric antigen receptor-T (CAR-T) cell therapy. 2. For participants with DLBCL in Part A, classified as T-cell/histiocyte-rich large B-cell lymphoma, high-grade B-cell lymphoma with myelocytomatosis viral oncogene homolog and B-cell lymphoma (BCL)-2 and/or BCL-6 rearrangements, high grade B-cell lymphoma, primary mediastinal large B-cell lymphoma, Epstein-Barr virus positive DLBCL, and transformed DLBCL. Parts A, B, C, D and E 3. Prior exposure to PI3K inhibitor. For participants in Part B and Part C, prior exposure to BTK inhibitor and/or PI3K inhibitor. 4. Any approved anticancer therapy, including hormonal therapy, or any investigational agent or participation in another clinical study with therapeutic intent within 14 days before first dose. 5. Treatment with systemic immune-stimulatory agents (including, but not limited to, interferons and interleukin-2) within 2 weeks or 5 half-lives of the drug, whichever is later, before first dose. 6. Known human immunodeficiency virus (HIV) infection, or serologic status reflecting active viral hepatitis B (HBV) or viral hepatitis C (HCV) infection as follows: * HBsAg (+), or * HBcAb (+) and HBV DNA detected, or * Presence of HCV antibody. Participants with presence of HCV antibody are eligible if HCV ribonucleic acid (RNA) is undetectable NOTE: Other protocol defined Inclusion/Exclusion criteria may apply.