The purpose of this study is to determine if BMS-986310 administered in combination with nivolumab, will demonstrate adequate safety and tolerability, as well as a favorable risk/benefit profile, to support further clinical testing.

Inclusion Criteria:

• Patients with measurable disease per RECIST v1.1 and have at least one lesion accessible for biopsy.
• ECOG performance status less than or equal to 1

Part 1 and Sub-study B:

i) Part 1 participants must have advanced or metastatic disease where no other standard of care treatment option is possible.

ii) Sub-study B participants must have advanced or metastatic disease where no other standard of care treatment is possible, in one of the following tumor types: Renal cell carcinoma, Melanoma, colorectal cancer (CRC) microsatellite instability (MSI)-High (determined by Clinical Laboratory Improvement Amendments (CLIA) validated assay, testing methodology must be provided), Bladder cancer, Squamous Cell Carcinoma of the Head and Neck (SCCHN), and they must have had disease progression on an anti-PD-(L)1 based regimen as their most recent prior therapy

Sub-study A:

i) Participants must be newly diagnosed, no prior history of treatment for bladder cancer ii) Participants must not meet criteria for standard of care neoadjuvant therapy and must be candidates for SOC surgical resection of primary tumor.

iii) Histologically confirmed muscle-Invasive bladder cancer (MIBC) pure or mixed histology urothelial carcinoma Part 2 - Patients with relapsed / refractory solid tumors where no other standard of care treatment option is available.

Exclusion Criteria:

• History of severe adverse drug reactions to nonsteroidal anti-inflammatory drugs (NSAIDs) or Cyclooxygenase-2 (COX-2) inhibitors.
• Participants with an active, known or suspected autoimmune disease.
• Evidence of organ dysfunction or any clinically significant deviation from normal in physical examination, vital signs, ECG or clinical laboratory determinations beyond what is consistent with the target population