The Gaia mission is expected to yield the detection of several thousands of
exoplanets, perhaps at least doubling the number of known exoplanets. Although
the harvest is expected to occur when the astrometric time series will be
published with DR4 at the eve of 2026, the DR3 is already a precious database
to search for exoplanet beyond 1 au. With this objective, we characterized
multiple systems by exploiting two astrometric signatures derived from the DR3
astrometric solution of bright sources (G<16). We have the proper motion
anomaly, or PMa, for sources also observed with Hipparcos, and the excess of
residuals in the RUWE and the astrometric excess noise (AEN). Those astrometric
signatures give an accurate measurement of the astrometric motion of a source
seen with Gaia, even in the presence of calibration and measurement noises. We
found that they can allow identifying stellar binaries and hint to companions
with a mass in the planetary domain. We introduce a tool called GaiaPMEX, that
is able, for a given source, to model its astrometric signatures, by a
photocenter orbit due to a companion with certain mass and semi-major axis
(sma). Comparing to their actual measurements from the DR3 and Hipparcos,
GaiaPMEX calculates a confidence map of the possible companion's mass and sma.
The constraints on mass are, as expected, degenerate, but when allowed,
coupling the use of PMa and RUWE, may significantly narrow the space of
solutions. Thanks to combining Gaia and Hipparcos, planets are expected to be
most frequently found within 1-10 au from their star, at the scale of
Earth-to-Saturn orbits. In this range, exoplanets with mass down to 0.1 MJup
are more favorably detected around M-dwarfs closer than 10 pc. Some fraction,
if not all, of companions identified with GaiaPMEX may be characterized in the
future using the astrometric time series that will be published with the DR4.