A Clinical Trial to Evaluate the Safety and Efficacy of COM701 in Relapsed Platinum Sensitive Ovarian Cancer

Inclusion Criteria: * Has relapsed platinum sensitive epithelial ovarian cancer, fallopian tube cancer or primary peritoneal cancer * Has completed at least 2 previous courses (i.e. lines) of platinum-containing therapy * For the last chemotherapy course prior to being randomized into the study, must have had a minimum of 4 cycles of a platinum containing regimen and achieved a partial or complete tumor response. * Has received prior maintenance therapy with bevacizumab or a PARP inhibitor if eligible and is not a candidate for, or has declined in writing, bevacizumab or PARP inhibitor therapy. * Have recovered from toxicities of prior chemotherapy or other therapy (to grade 1 or less, except for alopecia and neuropathy recovered to a ≤grade 2). Exclusion Criteria: * Has had 4 or more lines of cytotoxic chemotherapy in total * Is being treated with immunosuppressive doses of systemic medications, such as steroids within 2 weeks before study drug administration * Has had prior treatment with PD-1, PD-L1, anti-PVRIG, TIGIT or any other check point inhibitors * Presence of radiographic or biopsy proven liver metastases at the beginning or completion of current line of platinum-based chemotherapy. * Drainage of ascites during last 2 cycles of last chemotherapy or any time after completion of the last chemotherapy regimen. * Bowel obstruction in the 6 weeks prior to randomization. * Have known active central nervous system metastases and/or carcinomatous meningitis / leptomeningeal carcinomatosis. * Has active hepatitis B virus (HBV) or hepatitis C virus (HCV), or subjects with human immunodeficiency virus (HIV). * Has active and clinically relevant bacterial, fungal, or viral infection that is not controlled or requires systemic antibiotics, antifungals, or antivirals, respectively. * Has received a live viral vaccine within 30 days of planned start of study treatment or requiring a live vaccine during the study. * Has a history of severe allergic, anaphylactic, or other hypersensitivity reactions to a human or humanized monoclonal antibody (mAb) or allergy to any excipients in the investigational products. * Has any serious or unstable concomitant systemic disorder * Has any other condition that may increase the risk associated with study participation or may interfere with the interpretation of study results and, in the opinion of the investigator, would make the subject inappropriate for entry into the study. * Is currently participating in or have participated in a clinical study and received an investigational agent or used an investigational device within 4 weeks prior to the first dose of study treatment. * Is pregnant or breastfeeding or planning to become pregnant during the period of the study.