Inclusion Criteria:  Willing and able to provide signed and dated informed consent Patients with histologically or cytologically confirmed, locally advanced or metastatic solid tumors, evaluable by RECIST v1.1. (Part B includes metastatic HPV+ malignancies) Subject who has tumor progression during or after prior therapy and for whom no standard therapy exists that would confer clinical benefit. At least one measurable lesion per RECIST 1.1 (Part B only). Eastern Cooperative Oncology Group Performance Status (ECOG PS)0~1. Provide archived tumor tissue samples Adequate organ function  Exclusion Criteria:  Concurrent malignancy within 3 years prior to entry other than adequately treated cervical carcinoma-in-situ, localized squamous cell cancer of the skin, basal cell carcinoma, prostate cancer not requiring treatment (with or without resection), ductal carcinoma in situ of the breast, or ≤ T1 urothelial carcinoma. Untreated or symptomatic central nervous system (CNS) metastases. Any unresolved Grade 2 or greater toxicity from previous anticancer therapy except alopecia. Active leptomeningeal disease.  Active autoimmune diseases or history of autoimmune diseases that may relapse, with the following exceptions:  Controlled type 1 diabetes Hypothyroidism (provided it is managed with hormone-replacement therapy only) Controlled celiac disease Skin diseases not requiring systemic treatment (eg, vitiligo, psoriasis, or alopecia) Any other disease that is not expected to recur in the absence of external triggering factors  Any condition that required systemic treatment with either corticosteroids (> 10 mg daily of prednisone or equivalent) or other immunosuppressive medication ≤ 14 days before the first dose of investigational product, with the following exceptions:  Adrenal replacement steroid (dose ≤ 10 mg daily of prednisone or equivalent) Topical, ocular, intra-articular, intranasal, or inhalational corticosteroid with minimal systemic absorption Short course (≤ 7 days) of corticosteroid prescribed prophylactically (eg, for contrast dye allergy) or for the treatment of a non-autoimmune condition (eg, delayed-type hypersensitivity reaction caused by contact allergen) History of interstitial lung disease, noninfectious pneumonitis, or uncontrolled lung diseases, including but not limited to pulmonary fibrosis, active pneumonitis. Severe cardiovascular disease, including cerebrovascular accident, transient ischemic attack, myocardial infarction, or unstable angina, New York Heart Association class III or IV heart failure or uncontrolled arrhythmia within 6 months of first dose. Active, uncontrolled bacterial, viral, or fungal infections, requiring systemic therapy within 2 weeks of screening. Clinically significant bleeding within three months of the first dose. Uncontrolled hypertension, defined as systolic ≥150 mm Hg or diastolic ≥90 mm Hg maintained over time and despite antihypertensive treatment. Patients with QTcF > 480 ms on screening ECG or with a history of additional risk factors for TdP (e.g., heart failure, hypokalemia，family history of Long QT Syndrome) Pregnant or nursing. Known human immunodeficiency virus (HIV) or known acquired immunodeficiency syndrome. A serious nonmalignant disease (e.g., psychiatric, substance abuse, uncontrolled intercurrent illness, etc.) that could compromise protocol objectives in the opinion of the Investigator and/or the Sponsor. Any other condition that, in the opinion of the Investigator, would prohibit the subject from participating in the study.  Active autoimmune disease requiring systemic therapy in the last 2 years prior to the first dose (i.e., with use of disease modifying agents, systemic corticosteroids or immunosuppressive drug).  • Subjects with Type 1 diabetes mellitus (TD1M), hypothyroidism requiring only hormone replacement, or skin disorders not requiring systemic treatment are permitted to enroll.  A history of (non-infectious) pneumonitis that required steroids or has current pneumonitis. < 4 weeks after any major procedures/surgery; clinically significant unhealed wound; any unhealed ulceration in GI prior to first dose of TST005. History of severe immune-related adverse effects from checkpoint inhibitor (CPI) therapy (NCI CTCAE Grade 3 or 4) with the exception of endocrinopathy managed with replacement therapy or subjects who discontinued CPI therapy for CPI-associated toxicity or intolerability.