Phase I study of RO7119929 given orally to participants with unresectable advanced or metastatic primary liver cancers and other solid tumors with predominant liver involvement. The primary objective of the study is to explore the safety and to determine the maximum tolerated dose (MTD) and/or optimal biologic dose (OBD) of RO7119929 as single agent.

Inclusion Criteria:

• Histologically confirmed diagnosis of one of the following: unresectable advanced or metastatic HCC (including fibrolamellar HCC) not amenable to a curative treatment approach, unresectable advanced or metastatic intrahepatic or perihilar (Klatskin) BTC not amenable to a curative treatment approach, extrahepatic BTC or gallbladder cancer infiltrating the liver or metastasized into the liver with predominant liver disease, not amenable to a curative treatment approach, metastasized colorectal cancer (CRC), pancreatic ductal adenocarcinoma (PDAC), Gastric cancer (GC), renal cell carcinoma (RCC), triple negative breast cancer (TNBC), cutaneous melanoma, or ocular melanoma with predominant liver disease not amenable to a curative treatment approach. Participants with other solid tumors with predominant liver disease not amenable to a curative treatment approach might be enrolled after Sponsor approval
• Measurable disease with at least one measurable locally untreated liver lesion, as defined by RECIST v1.1
• Eastern Cooperative Oncology Group (ECOG) performance status 0 or 1
• Adequate hematologic and major organ functions
• Participants for which there is no available standard therapy likely to confer clinical benefit, or participants who are not candidates for such available therapy
• Life expectancy of ≥12 weeks, approximated with Royal Marsden Hospital score 0-1 or Gustave Roussy Immune (GRIm) score 0-1. Participants with a Royal Marsden Hospital or GRIm score of ≥2 and a life expectancy of ≥12 weeks according to the investigator's clinical judgement may be enrolled after Medical Monitor approval has been obtained.
• For participants with HCC: Child-Pugh score of A6 or better

Exclusion Criteria:

• History or clinical evidence of central nervous system (CNS) primary tumors or metastases including leptomeningeal metastases, unless they have been previously treated, are asymptomatic, and have had no requirement for steroids or enzyme-inducing anticonvulsants in the last 14 days prior to Screening
• Evidence of any extra-hepatic primary tumor or metastasis requiring prompt medical intervention
• Receipt of prior therapy with a TLR7/8/9 agonist and/or IFN-alpha
• Prior chemotherapy, antibody, or other registered or experimental cancer treatment within 3 weeks of study Cycle 1 Day 1. Specifically, no CPI antibody is allowed to be administered within 6 weeks of study Cycle 1 Day 1
• Receipt of investigational agent for any other indication within 3 weeks of dosing
• Treatment with systemic immunosuppressive medication (including, but not limited to, corticosteroids, cyclophosphamide, azathioprine, methotrexate, thalidomide, and anti-TNF-alpha agents) within 2 weeks prior to initiation of study treatment, or anticipation of need for systemic immunosuppressive medication during study treatment
• Local therapy to liver (e.g. radiofrequency ablation, percutaneuous ethanol or acetic acid injection, cryoablation, high-intensity focused ultrasound, transarterial chemoembolization, and transarterial embolization) within 3 weeks prior to initiation of study treatment, radioembolization within 3 months prior to initiation of study treatment, or non-recovery from side effects of such procedure
• Treatment-related toxicities from prior cancer therapy that have not resolved to \