We use the Gaia EDR3 to explore the Galactic supernova remnant SNR G272.2-3.2, produced by the explosion of a Type Ia supernova (SNIa), about 7,500 years ago, to search for a surviving companion. From the abundances in the SNR ejecta, G272.2-3.2 is a normal SNIa. The Gaia parallaxes allow to select the stars located within the estimated distance range of the SNR, and the Gaia proper motions to study their kinematics. From the Gaia EDR3 photometry, we construct the HR diagram of the selected sample, which we compare with the theoretical predictions for the evolution of possible star companions of SNIa. We can discard several proposed types of companions by combining kinematics and photometry. We focus our study on the kinematically most peculiar star, Gaia EDR3 5323900215411075328 (hereafter MV-G272), is a very clear outlier in the motion along the Galactic plane, both as compared with the sample and with the Besançon model of the Galaxy. Its trajectory on the sky locates it at the center of the SNR, 6,000-8,000 years ago, which constitutes a unique characteristic among the 3,082 stars in the sample. Spectra have been obtained allowing a stellar parameters determination and a chemical abundance analysis. The star now appears as an M1-M2 dwarf. Its