Predictive control has risen as a plausible option in the control of power converters for photovoltaic utilisation. In this work, a predictive control scheme is proposed to obtain the maximum power point in a photovoltaic array coupled directly to a grid-connected DC/AC power converter. The architecture considered avoids the use of the DC/DC stage, reducing the losses related to the inclusion of the boost stage. The introduced control strategy is proved by simulations in Matlab&Simulink, demonstrating flexibility to include the non-linear behaviour of the system and satisfying performance in terms of DC voltage and AC current control.