The objective of the research was to analyse the development of mathematical competences and soft skills in graduate students through the implementation of the Project-Based Learning methodology in times of COVID-19. The type of study used was a quantitative methodology with a descriptive scope. The instrument used to obtain the information was a questionnaire based on a five-point Likert scale. The main results were that the participants developed the mathematical competences of using mathematical terminology, formulating and estimating the quantitative model. The soft skills developed were time management, collaborative work, self-regulation and decision-making.