Pancreatic neuroendocrine tumors (pNETs), an uncommon finding, are distinct from pancreatic carcinomas. When pNETs are unresectable and progressive, visceral pain often presents and is challenging to treat. Opioids commonly used for pain control are difficult to implement in this setting because of adverse side effects such as constipation. Neurolytic celiac plexus blocks are indicated in the treatment of visceral pain related to upper abdominal malignancies when opioid analgesia does not provide adequate relief or is contraindicated because of side effects. As a result, this article presents a brief review of pNETs, celiac plexus blocks, associated side effects, and contraindications along with related literature in the context of a case study.