This paper considers convertibility of the elements of the Unified Modeling Language into entities of the Function Point Analysis, introduces a model for establishing the link, and presents a pilot study for comparing the Function Point counts provided by the model with those provided by a Function Point certified expert. In order to map the Unified Modeling Language elements to Function Point Analysis entities, the paper develops guidelines, rules, heuristics, and flexibility specifications, which also constitute the requirements of an analyzer and semi-automatic converter, implemented as a wizard inside IBM-Rational Rose. The paper presents and discusses the design, conduction and results of the pilot study.