A Study to Test Different Doses of BI 765063 Alone and in Combination With BI 754091 in Japanese Patients With Different Types of Advanced Cancer (Solid Tumors)

Inclusion Criteria: 1. Signed and dated the written informed consent form (ICF) prior to any trial-specific procedures 2. Male or female aged ≥ 20 years (no upper limit of age) at the time of ICF signature 3. Patients who were born in Japan, and have lived outside Japan \<10 years 4. Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 at the screening visit 5. Life expectancy of at least 3 months 6. Patients with at least one Signal Regulatory Protein-alpha (SIRPα) V1 allele will be selected, i.e. homozygous V1/V1 or heterozygous V1/V2; SIRPα polymorphism will be assessed in blood sampling (patient DNA); V1 allele is understood to include V1 and V1-like alleles 7. Patients with histologically or cytologically documented advanced/metastatic primary or recurrent solid tumors who failed or are not eligible to standard therapy 8. Patients with at least one measurable lesion as per RECIST v1.1 Further inclusion criteria apply. Exclusion Criteria: 1. Patients without at least one SIRPα V1 allele, i.e. SIRPα V2/V2 individuals 2. Previous treatment with study medications in this trial 3. Patients with symptomatic/active central nervous system (CNS) metastases. Patients with previously treated brain metastases are eligible, if there is no evidence of progression for at least 28 days before the first study drug administration without requirement for treatment with corticosteroids, as ascertained by clinical examination and brain imaging magnetic resonance imaging (MRI) or computed tomography (CT)) during the screening period 4. Any tumor location necessitating an urgent therapeutic intervention (e.g., palliative care, surgery or radiation therapy, such as spinal cord compression, other compressive mass, uncontrolled painful lesion, bone fracture) 5. Presence of active invasive cancers other than the one treated in this trial within 5 years prior to screening, except appropriately treated basal cell carcinoma of the skin, or in situ carcinoma of uterine cervix, or other local tumors considered cured by local treatment 6. Patients with active autoimmune disease or a documented history of autoimmune disease, that requires systemic treatment, i.e. corticosteroids or immunosuppressive drugs, except patients with vitiligo, resolved childhood asthma/atopy, alopecia, or any chronic skin condition that does not require systemic therapy, patients with autoimmune-related hypothyroidism on a stable dose of thyroid replacement hormone and/or controlled Type 1 diabetes mellitus on a stable insulin regimen may be eligible 7. Patients who has experienced severe infusion related reaction (IRR) to monoclonal antibody (mAb) (Grade ≥ 3 NCI CTCAE v5.0) 8. Patients removed from previous anti-PD-1 or anti-PD-L1 therapy because of a severe, or life-threatening immune related adverse event (irAE) (Grade ≥ 3 NCI CTCAE v5.0) Further exclusion criteria apply.