A Study to Test Whether BI 685509 Helps People With Liver Cirrhosis and High Blood Pressure in the Portal Vein (Main Vessel Going to the Liver) Who Had Bleeding in the Esophagus or Fluid Accumulation in the Belly

Inclusion Criteria: 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 Male or female who is ≥18 (or who is of legal age in countries where that is greater than 18) and ≤75 years old at screening (Visit 1a) Diagnosis of cirrhosis due to non-cholestatic liver disease (including Hepatitis C Virus (HCV), Hepatitis B Virus (HBV), Non-Alcoholic Steatohepatitis (NASH), alcohol-related liver disease, autoimmune hepatitis, Wilson's disease, haemachromatosis, alpha-1 antitrypsin (A1At) deficiency) One previous clinically significant decompensation event with clinical resolution at least 4 weeks prior start of screening (visit 1a): First variceal haemorrhage First episode of clinically significant ascites (requiring intervention in lifestyle [fluid and salt restriction] or medical treatment) Willing and able to undergo Hepatic Venous Pressure Gradient (HVPG) measurements per protocol (based on Investigator judgement) If receiving statins must be on a stable dose for at least 3 months prior to screening (Visit 1b), with no planned dose change throughout the trial If receiving treatment with Non-Selective Beta-Blocker (NSBBs) or carvedilol must be on a stable dose for at least 1 month prior to screening (Visit 1b), with no planned dose change throughout the trial For patient with alcohol-related cirrhosis, abstinence from significant alcohol misuse / abuse for a minimum of 2 months prior to screening (Visit 1a), and the ability to abstain from alcohol throughout the trial (both evaluated based on Investigator judgement) Further inclusion criteria apply Exclusion Criteria: History of cholestatic chronic liver disease (e.g. primary biliary sclerosis, primary sclerosing cholangitis) Trial participants without adequate treatment for HBV, HCV or NASH as per local guidance (e.g. antiviral therapy for chronic HBV or HCV infection or lifestyle modification in NASH) If received curative anti-viral therapy for Hepatitis C Virus (HCV), Sustained Virological Response (SVR) sustained for less than 1 years prior to screening If receiving anti-viral therapy for HBV, less than 6 months on a stable dose prior to screening, with planned dose change during the trial or HBV DNA detectable Weight change ≥5% within 6 months prior screening in patients with NASH Must take, or wishes to continue the intake of, restricted concomitant therapy or any concomitant therapy considered likely (based on Investigator judgement) to interfere with the safe conduct of the trial Systolic Blood Pressure (SBP) <100 mmHg or Diastolic Blood Pressure (DBP) <70 mmHg at screening (Visit 1a) Hepatic impairment defined as a Child-Turcotte-Pugh score ≥8 at screening Further exclusion criteria apply