This is a phase II study of Nintedanib in patients with metastatic or recurrent esophagogastric cancer. The goal of the study is to evaluate the efficacy of Nintedanib, an orally available triple kinase inhibitor targeting the receptors of the vascular endothelial growth factor (VEGF), platelet derived growth factor (PDGF), and fibroblast growth factor (FGF) receptor pathways.