The job of the project manager (PM) is both exciting and complex, requiring a range of skills and adaptability, especially in a different culture and that, to be effective and therefore carry out a project. Therefore, the effectiveness of those facing a multicultural team or assigned to international projects depends not only on their technical skills, but also to a large extent intercultural skills, to personal qualities, including the ability to adapt and collaboration in a different cultural environment. This research focuses in this context and proposes to study precisely the relationship between intercultural competence and efficiency of PM in intercultural situations. To define the relationship between factors of intercultural competence and effectiveness in intercultural situations, four questionnaires and one interview were used on a sample of 125 subjects (a heterogeneous sample from the University of Limoges, France). Some factors, such as the person perception are the same as those defined by the authors and theorists. The four questionnaires used describe the intercultural competences, communication style, the emotional intelligence level and the potential role that a person could play when he/she is part of a team. The first test used was the Multicultural Personality Questionnaire (MPQ), questionnaire used for measuring the group behavioral. The second test used was the communication style questionnaire, used to identify the main communication styles within an organization: action-oriented communication style, process-oriented communication style, people-oriented communication style and ideas oriented communication style. The emotional intelligence questionnaire was the third test used to identify the importance of the basic skills that determine the success of an organization. The last test used, the Belbin Team Role Inventory, also called the Belbin Self-Perception Inventory was used to measure the preference for Team Roles (Coordinator, Shaper, Monitor Evaluator, Team worker, Implementer, Plant, Resource Investigator, Finisher, and the Specialist a Team Role added by Belbin in 1993). The research variables used: age, nationality, residence (urban/rural), high school graduate and profile. All subjects worked in collaborative activities or projects. From the beginning, all the subjects were informed about the research activity and the data confidentiality. The subjects' average age was 36 years old. Regarding their residency 78% are living in an urban residency and only 22% are living in a rural residency. The subjects' nationality was: French, Chinese, Ivorian, Spanish and Swiss. For data collections were used four questionnaires and one interview. Data collection results began in May 2013 and ended in July 2013. Statistical processing will be performed with the specific version of Microsoft Office Excel 2003 and Sphinx Plus(2)- Lexica Edition - V5. Based on the literature review, in the research was identified that cultural heterogeneity had a significant influence on the process and could lead to the conflicts emergence with a negative impact on the teams' results. Managing multicultural project teams and the ability to manage diversity will probably be the key skills required for the managers of tomorrow.