This is a Phase I, open-label dose finding study to assess the safety, manufacturing feasibility, and preliminary efficacy of TCR1020-CD8 T cells in patients with KRAS-mutated cancers. Initially, patients with KRAS G12V mutation positive metastatic pancreatic adenocarcinoma or colorectal cancer will be targeted for participation. Up to 4 total dose levels will be evaluated using a 3+3 dose escalation design.