Durvalumab and Tremelimumab With or Without Hepatic Arterial Infusion of Chemotherapy in Hepatocellular Carcinoma

Inclusion Criteria: * Age ≥18 years old, * Patient presenting with hepatocellular carcinoma (HCC), diagnosed either by histological or radiological criteria as described by EASL criteria, if no biopsy could be performed safely. * High-tumor burden, defined as at least one of the three criteria: (i) Vp4 PVTT, (ii) Vp3 PVTT with bilobar tumoral involvement and/or (iii) liver involvement \>50% (as assessed by the investigator). Extra-hepatic spread is allowed. * Child-Pugh A liver function * Performance status Eastern Cooperative Oncology Group (ECOG) 0 to 1 * Must have a life expectancy of at least 12 weeks * Body weight \>30 kg * At least 1 lesion, not previously irradiated, that qualifies as a RECIST 1.1 target lesion (TL) at baseline. Tumor assessment by computed tomography (CT) scan or magnetic resonance imaging (MRI) must be performed within 28 days prior to randomization * Adequate organ and marrow function as indicated by the following laboratory values 1. Haemoglobin ≥ 7.5 g/dL. Participants with 7.5 g/dL \< haemoglobin \< 9.0 g/dL having active or chronic bleeding to be excluded, 2. Platelet count ≥75 × 109/L, 3. Absolute neutrophil count (ANC ≥1.0 × 109 /L) 4. creatinine clearance \> 40 mL/min (according to Cockcroft or MDRD formula) 5. AST (SGOT)/ALT (SGPT) ≤5x ULN 6. Serum bilirubin ≤1.5 x institutional upper limit of normal (ULN). 7. International normalised ratio (INR) \< 2.3 * Women of childbearing potential must be willing to use a highly effective method of birth control for the duration of the study, and ≥90 days after the last dose of study drug, and have a negative urine or serum pregnancy test ≤7 days of first dose of study drug. In case of a urine pregnancy test, it must be a highly sensitive urine pregnancy test. * Non-sterile males must be willing to use a highly effective method of birth control for the duration of the study and for ≥90 days after the last dose of study drug. A sterile male is defined as one for whom azoospermia has been previously demonstrated in a semen sample examination as definitive evidence of infertility. Males with known "low sperm counts" (consistent with "sub-fertility") are not to be considered sterile for purposes of this study. * Men and women patients must consent to not donate or bank sperm or ova during treatment and for 180 days after treatment stop * Patients must have provided consent for the study by signing and dating a written informed consent form prior to any study specific procedures, sampling, or analyses. When the patient is physically unable to give their written consent, a trusted person of their choice, independent from the investigator or the sponsor, can confirm in writing the patient's consent * Patient is willing and able to comply with the protocol for the duration of the study including undergoing treatment and scheduled visits and examinations including follow up * Patient affiliated to a social security regimen Exclusion Criteria: * Previous systemic treatment (either immunotherapy, anti-angiogenics, chemotherapy, or any combination thereof) * Previous treatment with hepatic arterial infusion of chemotherapy * Known fibrolamellar HCC, sarcomatoid HCC, or mixed cholangiocarcinoma and HCC. * History of hepatic encephalopathy within the past 6 months or requirement for medications to prevent or control encephalopathy (eg, no lactulose, rifaximin, etc if used for purposes of hepatic encephalopathy). * Active or prior documented gastrointestinal bleeding (GI; eg, esophageal varices or ulcer bleeding) within the past 6 months. Note: For participants with a history of GI bleeding greater than 6 months or assessed as high risk for esophageal varices by the investigator, including main trunk portal vein thrombosis, a recent endoscopy within 3 months of enrolment and adequate endoscopic therapy according to institutional standards is required. * Any unresolved toxicity NCI CTCAE grade ≥2 from previous anticancer therapy with the exception of alopecia, vitiligo, and the laboratory values defined in the inclusion criteria 1. Patients with Grade ≥2 neuropathy will be evaluated on a case-by-case basis after consultation with the Study Physician. 2. Patients with irreversible toxicity not reasonably expected to be exacerbated by treatment with durvalumab or tremelimumab may be included only after consultation with the Study Physician. * Any concurrent chemotherapy, biologic, or hormonal therapy for cancer treatment. Concurrent use of hormonal therapy for non-cancer-related conditions (e.g., hormone replacement therapy) is acceptable. * Active or prior documented autoimmune or inflammatory disorders (including inflammatory bowel disease \[e.g., colitis or Crohn's disease\], diverticulitis \[with the exception of diverticulosis\], systemic lupus erythematosus, Sarcoidosis syndrome, or Wegener syndrome \[granulomatosis with polyangiitis, Graves' disease, rheumatoid arthritis, hypophysitis, uveitis, etc.\]). The following are exceptions to this criterion: 1. Patients with vitiligo or alopecia 2. Patients with hypothyroidism (e.g., following Hashimoto syndrome) stable on hormone replacement 3. Any chronic skin condition that does not require systemic therapy 4. Patients without active disease in the last 5 years may be included but only after consultation with the study physician 5. Patients with celiac disease controlled by diet alone * History of interstitial lung disease, non-infectious pneumonitis or uncontrolled diseases including pulmonary fibrosis, acute lung diseases * History of leptomeningeal carcinomatosis * Known active hepatitis infection, positive hepatitis C virus (HCV) antibody, hepatitis B virus (HBV) surface antigen (HBsAg) or HBV core antibody (anti-HBc), at screening. Participants with a past or resolved HBV infection (defined as the presence of anti HBc and absence of HBsAg) are eligible. Participants positive for HCV antibody are eligible only if polymerase chain reaction is