The paper focuses on and examines the issues and problems related to remote evaluation of software engineering competences using progressive competence representation model. Authors suggested original approach for Master Program in Software Engineering competence evaluation as a combination academic competences and professional competences from European Competence model (e-CF). Examples of competence description for 16 subjects from proposed a Joint Master Program in Software Engineering are developed. Several types of scoring rubrics for Software Engineering competences evaluation are reviewed and rubrics' templates created. The developed models and templates can be used by universities and IT enterprises for training results evaluation as well as for competence evaluation for Software Engineering Master program's graduates. (C) 2017 The Authors. Published by Elsevier B.V.