We found 50 new globular cluster (GC) candidates around M\,31 with Gaia Early
Data Release 3 (EDR3), with the help from Pan-STARRS1 DR1 magnitudes and
Pan-Andromeda Archaeological Survey (PAndAS) images. Based on the latest
Revised Bologna Catalog and \textit{simbad}, we trained 2 Random Forest (RF)
classifiers, the first one to distinguish extended sources from point sources
and the second one to further select GCs from extended sources. From 1.85
million sources of 16m<g<19.5m and within a large area of
∼392\,deg2 around M\,31, we selected 20,658 extended sources and 1,934
initial GC candidates. After visual inspection of the PAndAS images to
eliminate the contamination of non-cluster sources, particularly galaxies, we
finally got 50 candidates. These candidates are divided into 3 types
(\textbf{a}, \textbf{b}, \textbf{c}) according to their projected distance D
to the center of M\,31 and their probability to be a true GC, PGC​, which
is calculated by our second RF classifier. Among these candidates, 14 are found
to be associated (in projection) with the large-scale structures within the
halo of M\,31. We also provided several simple parameter criteria for selecting
extended sources effectively from the Gaia EDR3, which can reach a completeness
of 92.1\% with a contamination fraction lower than 10\%