Inclusion Criteria:

          -  Must be at least 20 years of age at screening.

          -  Signed and dated written informed consent in accordance with Good Clinical
             Practice(GCP) and local legislation prior to admission to the trial.

          -  Pathologically documented, locally-advanced or metastatic malignancy with previously
             identified activating Neuroblastoma RAS viral (v-ras) oncogene homolog (NRAS) or
             Kirsten rat sarcoma viral oncogene homologue (KRAS) mutation based on local test.

          -  Provision of archival tumor tissue, if available, to confirm retrospectively NRAS or
             KRAS mutation status and for biomarker assessment.

          -  Willingness to undergo pre- and on-treatment tumour biopsies for pharmacodynamics and
             biomarker assessment. Patients can be enrolled without tumour biopsy upon agreement
             between the Investigator and the Sponsor if tumour biopsy is not feasible (Apply only
             to study site which agreed to conduct biopsy).

          -  Must have either progressed despite appropriate prior standard therapies or for whom
             no standard therapy exists for their tumour type and disease stage

          -  Must have at least one target lesion that can be measured per Response Evaluation
             Criteria in Solid Tumours (RECIST) version 1.1

          -  Must have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1.

        Further inclusion criteria apply.

        Exclusion Criteria:

          -  Previous anticancer chemotherapy within 3 weeks of the first administration of trial
             drug. Previous anticancer hormonal treatment or anticancer immunotherapy within 2
             weeks of the first administration of trial drugs.

          -  Radiotherapy within 4 weeks prior to first administration of BI 3011441 except as
             follows

               -  Palliative radiotherapy to regions other than the chest is allowed up to 2 weeks
                  prior to start of treatment

               -  Single dose palliative radiotherapy for symptomatic metastasis within 2 weeks
                  prior to start of treatment may be allowed but must be discussed with the
                  sponsor.

          -  Major surgery within 4 weeks prior to start of treatment or scheduled during the
             projected course of the trial

          -  Previous treatment with a Rat sarcoma (RAS), Mitogen-activated protein kinase (MAPK)
             targeting agent

          -  Previous treatment with any investigational agent(s) or targeted treatment within 4
             weeks (28 days) prior to start of trial drug or concurrent participation in another
             clinical trial with an investigational device or drug.

          -  Any history of or concomitant condition that, in the opinion of the investigator,
             would compromise the patient's ability to comply with the study or interfere with the
             evaluation of the efficacy and safety of the study medications

          -  Patients who have a history or current evidence/risk of retinal vein occlusion (RVO)
             or retinal pigment epithelial detachment or central serous retinopathy; for example,
             predisposing factors of RVO or central serous retinopathy include uncontrolled
             glaucoma or ocular hypertension, history of hyperviscosity or hypercoagulability
             syndromes.

          -  Patients who have visible retinal pathology that is considered a risk factor for RVO
             or central serous retinopathy as assessed by ophthalmic examination, such as:

               -  Evidence of new optic disc cupping

               -  Evidence of new visual field defects

               -  Intraocular pressure >21 mm Hg History or presence of cardiovascular
                  abnormalities such as uncontrolled hypertension, congestive heart failure New
                  York Heart Association (NYHA) classification of ≥2, unstable angina or poorly
                  controlled arrhythmia which are considered as clinically relevant by the
                  investigator; Myocardial infarction within 6 months prior to start of treatment.
                  Uncontrolled hypertension is defined as: Blood pressure (BP) measured in a rested
                  and relaxed condition, where systolic BP >=140 mmHg, or diastolic BP >= 90 mmHg,
                  with or without medication.

        Further exclusion criteria apply.