The main objective of this study was to analyze the way in which emotional competencies (EI) in students are linked to general intelligence (IQ), and how the crossing of the two measurements determines their academic performance. To conduct this research, two tests were applied. First, the TEIQue (Trait Emotional Intelligence Questionnaire) assessment was administered and, secondly, the R scale of the PMA Test (Primary Mental Abilities). The sample consisted of 58 university students between 18 and 51 years old, of which 76% are women and 24% are men. The results show that there is no direct relationship between emotional intelligence and general intelligence. However, it is important to consider the size of the sample, since it presents limitations when interpreting the results. Nonetheless, an interesting finding is the interaction discovered between a performance indicator, such as the selectivity score, and the overall EI score. These results are in line with those found by Schutte et al. (1998). This result is even more significant, if possible, when realizing the selectivity score showed a negative correlation (inverse relationship) with the score on the PMA-R (Reasoning) test. [This paper was presented at the "Jornadas Internacionales de Innovación Universitaria" ("JIIU") (International Conference on Innovation in Higher Education) (10th, Villaviciosa de Odón Campus, Universidad Europea de Madrid, Spain, July 11-12, 2013).]