A Study to Test How Well Different Doses of BI 3006337 Are Tolerated by People With Overweight or Obesity and With Fatty Liver Disease

Inclusion Criteria: \- Male or female trial participants ≥18 years and ≤75 years of age at time of consent. Women of child-bearing potential (WOCBP) must be willing and able to use 2 forms of effective contraception where at least 1 form is a highly effective method of birth control per ICH M3 (R2) that results in a low failure rate of less than 1% per year when used consistently and correctly. Male trial participants must be willing and able to use condom if their partner is a WOCBP * Body mass index (BMI) ≥25 - \<40 kg/m\^2 * Liver fat fraction ≥8% as measured by Magnetic resonance imaging proton density fat fraction (MRI-PDFF) * Signed and dated written informed consent in accordance with International Council for Harmonisation-Good Clinical Practice (ICH-GCP) and local legislation prior to admission to the trial Exclusion Criteria: \- Current or past significant alcohol consumption (daily alcohol consumption in women should not exceed more than one standard drink per day and two drinks per day for men, whereby one standard drink is equivalent to 12 oz beer \[5% alcohol\]; 5 ounces of wine \[12% alcohol\], 1.5 ounces of 80 proof \[40% alcohol\]) or inability to reliably quantify alcohol consumption based on Investigator judgement within the last 5 years. The Alcohol Use Disorders Identification Test (AUDIT) shall be used a standardized screening tool for alcohol use disorder * Intake of medications historically associated with liver injury, hepatic steatosis, or steatohepatitis (e.g. oral or intravenous corticosteroids, methotrexate, valproic acid, tamoxifen, tetracycline, amiodarone) for more than 14 consecutive days within 12 weeks prior to the screening visit * Presence of any form of acute or chronic liver disease other than simple steatosis (e.g. viral hepatitis, autoimmune liver disease, primary biliary sclerosis, primary sclerosing cholangitis, Wilson's disease, hemochromatosis, alpha-1 antitrypsin deficiency). Chronic viral hepatitis parameters that would be considered exclusionary for the participation to this trial are (hepatitis B and C testing will be done at the screening visit): * Hepatitis B virus (HBV): trial participants with positive Hepatitis B virus surface antigen (HbsAg) * Hepatitis C virus (HCV): trial participants with positive HCV RNA. Trial participants treated for hepatitis C must have a negative RNA test at screening and also be HCV RNA negative for at least 3 years prior to screening in order to be eligible for the trial * Liver stiffness \>10 Kilopascal (kPa) as measured using Fibroscan. In patients with a non-valid Fibroscan measurement, a Fib-4 score \>1.3 should be considered exclusionary. * Suspicion, confirmed diagnosis, or history of hepatocellular carcinoma * Treatment with vitamin E (at a minimum dose of 800 IU/day) or pioglitazone not stable (in the opinion of the Investigator) within 90 days before screening * History of type 1 diabetes * Use of Glucagon-like peptide 1 (GLP1)-receptor agonists within last 90 days before screening Further exclusion criteria apply.