We introduce a novel conceptual Case Frame model that represents the content of cases involving statutory interpretation within civil law frameworks, accompanied by an associated argument scheme enriched with critical questions. By validating our approach with a modest dataset, we demonstrate its robustness and practical applicability. Our model not only provides a structured method for analyzing statutory interpretation but also highlights the distinct needs of lawyers operating under statutory law compared to those reasoning with common law precedents. The model presented here is a step towards developing a hybrid Machine LearningArgumentation system that includes a module for constructing well-structured arguments from textual datasets