  We use the {\it 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 SN Ia. The {\it Gaia} parallaxes allow
to select the stars located within the estimated distance range of the SNR, and
the {\it Gaia} proper motions to study their kinematics. From the {\it 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 can also discard hypervelocity stars.
We focus our study on the kinematically most peculiar star, {\it Gaia} EDR3
5323900215411075328 (hereafter MV-G272), a 8.9 $\sigma$ outlier in proper
motion. It is of M1-M2 stellar type. Its trajectory on the sky locates it at
the center of the SNR, 6,000--8,000 years ago, a unique characteristic among
the the sample. Spectra allow a stellar parameters determination and a chemical
abundance analysis. In conclusion, we have a candidate to be the surviving
companion of the SN Ia that resulted in SNR G272.2-3.2. It is supported by its
kinematical characteristics and its trajectory within the SNR. This opens the
possibility of a single-degenerate scenario for a SN Ia with an M-type dwarf
companion.
