Abstract: Liouville-type theorems for Beltrami flows in unbounded domains with starlike boundaries were established under weakened integral conditions, yielding four distinct criteria. Two key lemmas were introduced to construct exact identities between volume and surface integrals of the Beltrami flows. The proofs were developed by combining contradiction methods, refined inequality estimates, and geometric properties of the unit outward normal vector on starlike boundaries. Notably, a truncation function technique was employed to address special critical cases. These results were shown to significantly relax the integral requirements in existing literature and provide new theoretical tools for analyzing Beltrami flows in unbounded domains.