Inclusion Criteria:
1. Male or female patients aged ≥ 18 years.
2. Patients who have advanced solid tumors or lymphomas for which an anti-PD-1/PDL-1 has been approved as single agent by the EMA (including but not limited to: melanoma, NSCLC, SCLC, HNSCC, classical HD, primary mediastinal LBCL, urothelial carcinoma, MSI-H cancer, gastric cancer, esophageal cancer, cervical cancer, HCC, merkel, renal cell carcinoma, endometrial cancer, TMB-H cancer, cutaneous SCC, TNBC, unresectable basal cell cancer) with no available approved therapeutic alternatives. In addition, patients with rare tumors for which significant activity of anti-PD1 has been observed (e.g., TLS+ sarcomas, alveolar soft part sarcomas, etc.) may enroll after discussion with the Sponsor.
3. Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1
4. Histologically/cytologically confirmed diagnosis of a solid tumor malignancy
5. Measurable metastatic disease by Response Evaluation Criteria in Solid Tumors (RECIST) 1.1
6. Life expectancy \> 12 weeks
7. Patients who have received prior anti-PD-1, anti-PDL-1, or anti-CTLA-4 therapy or any concurrent chemotherapy, radiotherapy, investigational, biologic, or hormonal therapy for cancer treatment may be eligible to enter the study following a washout period as applicable.
8. Demonstrate adequate organ function
9. Contraception
* For women: negative pregnancy test for women of child-bearing potential\*; must be surgically sterile, postmenopausal, or compliant with an acceptable contraceptive regimen during and for 4 months after the treatment period. Abstinence is not considered an adequate contraceptive regimen.
* For men: must be surgically sterile, or compliant with a contraceptive regimen during and for a minimum of 4 months after the treatment period.
10. Adequate knowledge in speaking and reading local language. \* A woman is considered of childbearing potential (WOCBP), i.e., fertile, following menarche and until becoming post-menopausal unless permanently sterile. Permanent sterilization methods include hysterectomy, bilateral salpingectomy and bilateral oophorectomy. A postmenopausal state is defined as no menses for 12 months without an alternative medical cause.
Exclusion Criteria:
1. Patients have a known uncontrolled central nervous system (CNS) metastases and/or carcinomatous meningitis or untreated CNS metastatic disease, leptomeningeal disease, or cord compression.
2. Patients have a known history of human immunodeficiency virus (HIV) (HIV 1/2 antibodies).
3. Patients have a known active hepatitis B (e.g., hepatitis B surface antigen \[HBsAg\] reactive) or hepatitis C (e.g., hepatitis C virus ribonucleic acid (HCV RNA) (qualitative) is detected).
4. Patients have participated in a study of an investigational agent and received study therapy or used an investigational device within 4 weeks prior to the first dose of study drug.
5. Patients have received prior anti-cancer therapy (chemotherapy, targeted therapies, radiotherapy, or immunotherapy) within 21 days, or less than 5 times the half-life of the most recent therapy prior to study Day 1, whichever is shorter.
6. Patients have not recovered adequately (≤ Grade 1) from AEs and/or complications from any major surgery prior to starting therapy.
7. Patients who have an active autoimmune disease requiring systemic treatment within the past 3 months or have a documented history of clinically severe autoimmune disease that requires systemic steroids or immunosuppressive agents.
8. Patients have a history of organ transplant that requires use of immune suppressive agents.
9. Patients have an active malignancy not related to the current diagnosed malignancy.
10. Patients must not have experienced a toxicity that led to permanent discontinuation of prior immunotherapy, including but not limited to grade ≥2 myocarditis, grade ≥3 pneumonitis, or grade ≥3 toxicities not listed above.
11. All AEs while receiving prior immunotherapy must have completely resolved or resolved to Grade 1 prior to screening for this study.
12. Patients taking steroids at a dose \>10 mg prednisone equivalent daily, or any other immunosuppressive drugs within 28 days prior to the first dose of MAQ-001. However, patients are allowed to use topical or inhaled glucocorticoids and adrenal glucocorticoids replacement therapy at an effective dose equivalent to ≤ 10 mg/day of prednisone.
13. Uncontrolled intercurrent illness, that would limit compliance with study requirements, substantially increase the risk of incurring AEs or compromise the ability of the subject to give written informed consent.
14. Any condition that, in the opinion of the investigator, would interfere with the evaluation of the investigational product or interpretation of the patient's safety or study results, or not suitable for inclusion as judged by the investigator.
15. Judgment by the investigator that the patient is unsuitable to participate in the study and the patient is unlikely to comply with study procedures, restrictions, and requirements.
16. Patients had cerebrovascular accident, myocardial infarction, unstable angina, poorly controlled arrhythmia occurring within 6 months of enrollment.
17. Patients have cardiac insufficiency of Grade III or IV according to the New York Heart Association (NYHA) classification.
18. Patients have interstitial pneumonitis, pneumoconiosis, radiation pneumonitis, drug-related pneumonitis, and/or severely impaired lung function, that may interfere with the detection and management of suspected MAQ-001-related pulmonary toxicity.
19. Administration of live vaccines within 28 days prior to the first dose. Patients may receive inactivated viral vaccines for seasonal influenza and 2019-nCoV vaccines but may not receive live attenuated influenza vaccines via the intranasal route.
20. Patients had a major surgery within 28 days prior to the first dose of investigational product. A major surgery is defined as a surgery that takes at least 3 weeks of postoperative recovery before receiving treatment in this study.
21. Patients have known hypersensitivity or contraindication to anti-PDL1.
22. For patients in Phase IB: known hypersensitivity or contraindication to ipilimumab.
23. Pregnancy or lactation.
