Inclusion Criteria:

        Part 1:

          -  Of full age (according to local legislation, usually ≥ 18 years) at screening.

          -  Pathologically confirmed locally advanced or metastatic non-squamous NSCLC with PDL-1
             expression available and >1% by IHC (as defined by the Pembrolizumab companion
             diagnostic test, determined by appropriate local pathology lab.

          -  No previous treatment with check-point inhibitor. Or patients with checkpoint
             inhibitor based treatment as last therapy before entering the trial.

          -  Documented disease progression or relapse (based on investigator's assessment) during
             or after completion of at least 2 cycles of platinum-based chemotherapy as first line
             treatment of Stage IIIB/IV non- squamous NSCLC or for checkpoint inhibitor experienced
             patients during or after completion of at least 2 cycles of platinum-based
             chemotherapy and a checkpoint inhibitor treatment (monotherapy or in combination with
             chemotherapy). This includes patients relapsing within 6 months of completing
             (neo)adjuvant/curative-intent chemotherapy/CPI or chemoradiotherapy

          -  At least one target lesion (outside the brain) that can be accurately measured per
             Response Evaluation Criteria in Solid Tumours (RECIST) version 1.1 .

          -  Lesion with a diameter ≥ 2cm assessed by radiologist as suitable for DCE-MRI
             evaluation (Mandatory in Part 1, optional in Part 2)

          -  Eastern Cooperative Oncology Group (ECOG) performance status ≤ 1 Life expectancy ≥ 3
             months after start of the treatment in the opinion of the investigator

          -  Recovery from all reversible adverse events of previous anti-cancer therapies to
             baseline or CTCAE grade 1, except for alopecia (any grade), sensory peripheral
             neuropathy , must be ≤ CTCAE grade 2 or considered not clinically significant.

          -  Signed and dated written informed consent in accordance with ICH-GCP and local
             legislation prior to admission to the trial

          -  Availability and willingness to provide a fresh tumour tissue sample obtained at
             baseline, and after 2 cycles of treatment

          -  Adequate organ function defined as all of the following (all screening labs should be
             performed at local lab within 10 days prior to treatment initiation)

          -  Male or female patients. Women of childbearing potential (WOCBP)1 and men able to
             father a child must be ready and able to use highly effective methods of birth control
             per ICH M3 (R2) that result in a low failure rate of less than 1% per year when used
             consistently and correctly, starting with the screening visit and through 6 months
             after the last dose of BI 836880 and BI 754091 treatment, respectively. A list of
             contraception methods meeting these criteria is provided in the patient information
             Note: Female patients of childbearing potential must have a negative serum pregnancy
             test within 72 hours prior to taking study medication during the screening period. At
             the following visits according to the flowchart a urine and/or serum pregnancy test is
             required. If the urine test is positive or cannot be confirmed as negative, a serum
             pregnancy test will be required. The serum pregnancy test must be negative for the
             patient to be eligible.

        Part 2:

          -  Of full age (according to local legislation, usually ≥ 18 years) at screening

          -  At least one measurable target lesion outside the brain (excluding the glioblastoma
             patients where brain lesions are allowed), that can be accurately measured per RECIST
             version 1.1 or Response Assessment in Neuro-Oncology (RANO)

          -  ECOG performance status ≤ 1 (For glioblastoma cohort Karnofsky status is applicable)

          -  Adequate organ function as all of the following (all screening labs should be
             performed at local lab within approximately 72 hours prior to treatment initiation)

          -  Availability and willingness to provide a fresh tumor tissue sample obtained after
             relapse or progression on or after prior therapy. For Part 2, In case a fresh biopsy
             cannot be obtained (e.g. inaccessible lesions or patient safety concern), an archived
             specimen obtained up to 6 months prior to cycle 1, visit 1 (C1V1) may be submitted in
             case no systemic antineoplastic therapy has been administered between the biopsy and
             C1V1 (except for cohort D). For cohorts E, F and G, a fresh on-treatment biopsy is
             mandatory at C3D1, if possible from the same lesion as the pre-treatment biopsy.

          -  Life expectancy ≥ 3 months after start of the treatment in the opinion of the
             investigator

          -  Recovery from all reversible adverse events of previous anti-cancer therapies to
             baseline or CTCAE grade 1, except for alopecia (any grade), sensory peripheral
             neuropathy , must be ≤ CTCAE grade 2 or considered not clinically significant.

          -  Signed and dated written informed consent in accordance with ICH-GCP and local
             legislation prior to admission to the trial

          -  Male or female patients. Women of childbearing potential (WOCBP)2 and men able to
             father a child must be ready and able to use highly effective methods of birth control
             per ICH M3 (R2) that result in a low failure rate of less than 1% per year when used
             consistently and correctly, for the entire duration of the trial treatment intake and
             for 6 months after the end of the trial treatment. A list of contraception methods
             meeting these criteria is provided in the patient information.

        Note: Female patients of childbearing potential must have a negative serum pregnancy test
        within 72 hours during the screening period. At the following visits according to the
        flowchart, a urine and/or serum pregnancy test is required. If the urine test is positive
        or cannot be confirmed as negative, a serum pregnancy test will be required. The serum
        pregnancy test must be negative for the patient to be eligible.- Further inclusion criteria
        apply

        Exclusion criteria:

        Part 1:

          -  Known hypersensitivity to the trial drugs or their excipients or risk of allergic of
             anaphylactic reaction to drug product according to Investigator judgement (e.g.
             patient with history of anaphylactic reaction or autoimmune disease that is not
             controlled by nonsteroidal anti-inflammatory drugs (NSAIDs), inhaled corticosteroids,
             or the equivalent of </= 10 mg/day prednisone).

          -  Known immunodeficiency virus infection or an active hepatitis B or C virus infection.

          -  History of severe hypersensitivity reactions to other mAbs.

          -  Immunosuppressive corticosteroid doses (> 10 mg prednisone daily or equivalent) within
             4 weeks prior to the first dose of trial medication.

          -  Current or prior treatment with any systemic anti-cancer therapy either within 28 days
             or a minimum of 5 half-lives, whichever is shorter before start of treatment.

          -  Serious concomitant disease, especially those affecting compliance with trial
             requirements or which are considered relevant for the evaluation of the endpoints of
             the trial drug, such as neurologic, psychiatric, infectious disease or active ulcers
             (gastrointestinal tract, skin) or laboratory abnormality that may increase the risk
             associated with trial participation or trial drug administration, and in the judgment
             of the investigator would make the patient inappropriate for entry into the trial.

          -  Major injuries and/or surgery or bone fracture within 4 weeks of start of treatment,
             or planned surgical procedures during the trial period.

          -  Patients with personal or family history of QT prolongation and/or long QT syndrome,
             or prolonged QTcF at baseline (> 480 ms).

          -  Significant cardiovascular/cerebrovascular diseases (i.e. uncontrolled hypertension,
             unstable angina, history of infarction within past 6 months, congestive heart failure
             > NYHA II).

        Uncontrolled hypertension defined as: Blood pressure in rested and relaxed condition >= 140
        mmHg, systolic or >= 90 mmHg diastolic (with or without medication), measured according to
        Appendix 10.2.

          -  LVEF < 50%

          -  History of severe hemorrhagic or thromboembolic event in the past 12 months (excluding
             central venous catheter thrombosis and peripheral deep vein thrombosis).

          -  Known inherited predisposition to bleeding or to thrombosis in the opinion of the
             investigator.

          -  Patient with brain metastases that are symptomatic and/or require therapy.

          -  Patients who require full-dose anticoagulation (according to local guidelines). No
             Vitamin K antagonist and other anticoagulation allowed; LMWH allowed only for
             prevention not for curative treatment.

          -  History of pneumonitis within the last 5 years

          -  Patients who are under judicial protection and patients who are legally
             institutionalized.

          -  Patients unable or unwilling to comply with protocol

          -  Previous enrolment in this trial (Part 1 or Part 2).

          -  Chronic alcohol or drug abuse or any condition that, in the investigator's opinion,
             makes them an unreliable trial patient or unlikely to complete the trial.

          -  Women who are pregnant, nursing, or who plan to become pregnant in the trial

        Part 2:

          -  Known hypersensitivity to the trial drugs or their excipients or risk of allergic of
             anaphylactic reaction to drug product according to Investigator judgement (e.g.
             patient with history of anaphylactic reaction or autoimmune disease that is not
             controlled by nonsteroidal anti-inflammatory drugs (NSAIDs), inhaled corticosteroids,
             or the equivalent of </= 10 mg/day prednisone).

          -  Not more than one CPI based treatment regimen prior to entering study (e.g.
             anti-Programmed Death receptor-1 (PD-1), anti-Programmed Death-1 ligand-1 (PD-L1),
             anti-PD-L2, or anti-cytotoxic T lymphocyte associated antigen-4 (anti-CTLA-4)
             antibody). In case of CPIs combination, they need to be approved by the local
             regulatory agencies; for e.g., Melanoma cohort (Cohort E).

          -  Known HIV infection

          -  Active hepatitis B virus (HBV) or hepatitis C virus (HCV) infection (exception for
             patients in HCC cohorts; Cohorts F& G).

          -  History of severe hypersensitivity reactions to other mAbs.

          -  Immunosuppressive corticosteroid doses (> 10 mg prednisone daily or equivalent) within
             4 weeks prior to the first dose of trial medication except for control of cerebral
             edema in case of recurrent glioblastoma (cohort D).

          -  Current or prior treatment with any systemic anti-cancer therapy (including
             radiotherapy) either within 28 days or a minimum of 5 half-lives, whichever is shorter
             before start of treatment

          -  Serious concomitant disease, especially those affecting compliance with trial
             requirements or which are considered relevant for the evaluation of the endpoints of
             the trial drug, such as neurologic, psychiatric, infectious disease or active ulcers
             (gastrointestinal tract, skin) or laboratory abnormality that may increase the risk
             associated with trial participation or trial drug administration, and in the judgment
             of the investigator would make the patient inappropriate for entry into the trial.

          -  Major injuries and/or surgery or bone fracture within 4 weeks of start of treatment,
             or planned surgical procedures during the trial period.

          -  Patients with personal or family history of QT prolongation and/or long QT syndrome,
             or prolonged QTcF at baseline (> 480 ms).

          -  Significant cardiovascular/cerebrovascular diseases (i.e. uncontrolled hypertension,
             unstable angina, history of infarction within past 6 months, congestive heart failure
             > NYHA II).

        Uncontrolled hypertension defined as: Blood pressure in rested and relaxed condition >= 140
        mmHg, systolic or >= 90 mmHg diastolic (with or without medication), measured according to
        Appendix 10.2.

          -  LVEF < 50%

          -  History of severe hemorrhagic or thromboembolic event in the past 12 months (excluding
             central venous catheter thrombosis and peripheral deep vein thrombosis).

          -  Known inherited predisposition to bleeding or to thrombosis in the opinion of the
             investigator.

          -  Patient with brain metastases that are symptomatic and/or require therapy.

          -  Patients who require full-dose anticoagulation (according to local guidelines).

          -  No Vitamin K antagonist and other anticoagulation allowed; LMWH allowed only for
             prevention not for curative treatment.

          -  History of pneumonitis (non-infectious) within the last 5 years

          -  Patients who are under judicial protection and patients who are legally
             institutionalized.

          -  Patients unable or unwilling to comply with protocol

          -  Previous enrolment in this trial.

          -  Chronic alcohol or drug abuse or any condition that, in the investigator's opinion,
             makes them an unreliable trial patient or unlikely to complete the trial.

          -  Women who are pregnant, nursing, or who plan to become pregnant in the trial

          -  UncontrolledSymptomatic pleural effusion, pericardial effusion, or ascites

          -  Prior treatment with any antiangiogenic treatment (e.g. bevacizumab, cediranib,
             aflibercept, vandetanib, XL-184, sunitinib, etc) except for sorafenib and lenvatinib
             in 2nd line HCC cohort (Cohort F)

          -  Has received a live vaccine within 30 days prior to the first dose of study drug

          -  Patients with known active second malignancy other than non-melanoma skin cancers,
             non-metastatic prostate cancer, in situ cervical cancer, and ductal or lobular
             carcinoma in situ of the breast. Patients are not considered to have a currently
             active malignancy if they have completed anticancer therapy and have been disease free
             for greater than 2 years prior to screening

          -  Further exclusion criteria apply