Gaia astrometry was used to explore the properties of Galactic Post-AGB stars in the literature. DR3 precise parallaxes allowed us to isolate a small group of stars in the direction of the Large Magellanic Cloud (LMC) previously reported as post-AGB stars in the LMC, but that, according to their distances, seem to be located in an intermediate region between the LMC and the Galaxy. In order to verify this, we have used a classifier that allows us to evaluate the probability of a star belonging to the Milky Way (MW) or the LMC. This classifier is based on an Artificial Neural Network (ANN) algorithm and is fed with the astrometry and photometry published in DR3. In this presentation, we study the membership probabilities of several samples of stars in the direction of the LMC. As a result, we have obtained that around 25-30% of stars in our samples, suspected to belong to the LMC, have indeed low probabilities of belonging to either one galaxy or the other. On the contrary, they seem to be located in an intermediate region between the two galaxies. We also analysed the radial velocity distributions of the different samples and the location of the stars in a colour-magnitude diagram. APOGEE data was also used to study the chemical abundances of stars in the different regions (LMC, MW, and intermediate population).