This paper presents and compares two strategies to generate sinusoidal output voltage waveforms and unitary displacement power factor on the input side using predictive control with an indirect matrix converter. These objectives are accomplished using two different predictive control schemes on the input side: minimization of instantaneous reactive power and imposed input sinusoidal currents. Predictive control calculates the future values of the variables to be controlled in order to choose the switching state that produces the minimum error between the variables and their references. Both methods have been tested and compared in simulation, obtaining sinusoidal output voltage and achieving unitary input displacement factor, with a THD of less than 2% for both the input currents and the output voltages.