Classical predictive control implementations generate variable switching frequency which could produce input filter resonances in matrix converters topologies, affecting system performance. This paper considers the application of predictive control to a Direct Matrix Converter (DMC) in order to improve the power factor based on a modulated model with a fixed switching frequency (M2PC). The M2PC technique allows control of the output waveforms of the DMC at the same time as controlling the input current and reactive power. The discrete time model of the system as well as the input and output filter parameters are used to predict the behaviour of supply side reactive power and output waveforms for each valid switching state of the DMC. The simulation results from Matlab/Simulink are used to confirm the optimal performance of this strategy.