First-in-Human Evaluation of GRN-300 in Subjects With Recurrent Ovarian, Primary Peritoneal, and Fallopian Tube Cancers.

Inclusion Criteria:

* Age ≥ 18 years.
* Part 1 dose-escalation cohorts: Diagnosis of persistent or recurrent, locally non-resectable or metastatic ovarian, primary peritoneal or fallopian tube epithelial cancer, or advanced solid tumors of any other histology who have progressed on standard therapy and for whom no further effective therapy is available
* Part 1 dose-expansion cohort / Part 2 dose-escalation cohorts / Part 2 dose-expansion cohort: Diagnosis of persistent or recurrent, locally non-resectable or metastatic ovarian, primary peritoneal or fallopian tube epithelial cancer who have progressed on standard therapy and for whom no further effective therapy is available. Patients with advanced solid tumors of any other histology will not be eligible to be enrolled in these cohorts.
* Part 2 dose-escalation cohorts / Part 2 dose-expansion cohort: paclitaxel treatment for the tumor should be indicated
* Histologic or cytologic confirmation of the original tumor by Pathology assessment is required.
* Patients must have measurable disease, defined as at least one lesion that can be accurately measured in at least one dimension, as defined by RECIST 1.1.
* Prior therapy: Patients must have received at least one prior second-line treatment for persistent, recurrent, locally non-resectable or metastatic disease but may have received any number of prior treatments.
* Any unresolved toxicities from prior therapy should be no greater than NCI-CTCAE v5.0 Grade 1 at screening.
* Patients who are expected to survive a minimum of three months after the first administration of the study drug.
* Eastern Cooperative Oncology Group performance status (ECOG PS) score of 0-1.
* Adequate bone marrow, liver and renal function.

Exclusion Criteria:

* Patients who have undergone major surgery ≤ 4 weeks prior to starting study drug.
* Patients with known hypersensitivity to paclitaxel excluded from Part 2 paclitaxel combination only).
* Use of any cytotoxic chemotherapy or investigational drugs, biologics, or devices within 21 days prior to study enrollment.
* Women who are pregnant or breastfeeding.
* Known history of human immunodeficiency virus (HIV) infection or current chronic or active hepatitis B or C infection requiring treatment with antiviral therapy.
* Known CNS metastases or leptomeningeal disease.
* Gastrointestinal dysfunction that may affect oral drug absorption (e.g., intermittent or chronic bowel obstruction, short gut, etc.).
* Subjects with thrombotic, embolic, venous, or arterial events, such as cerebrovascular accident (including transient ischemic attacks) deep vein thrombosis or pulmonary embolism within six months of start of study treatment.
* Other medical co-morbidities that in the investigator's judgment would increase the risks of participation
* QTc \>480 msec be excluded from the study