Comparison between the two components of the PMs in the Gaia DR3 and our E-G catalogue. All unsaturated stars in common with a PM measurement are shown. The red line in each panel is the fit to the points (and not the bisector of the plot) and highlights the nice agreement between the two sets of PMs. The broad distribution along the y axis is a proxy of the systematics errors in the Gaia DR3 PMs for the faint stars in common with the Euclid data.