  We report the results of our spectropolarimetric monitoring of the weak-line
T-Tauri stars (wTTSs) Par 1379 and Par 2244, within the MaTYSSE (Magnetic
Topologies of Young Stars and the Survival of close-in giant Exoplanets)
programme. Both stars are of a similar mass (1.6 and 1.8 M$_{\odot}$) and age
(1.8 and 1.1 Myr), with Par 1379 hosting an evolved low-mass dusty
circumstellar disc, and with Par 2244 showing evidence of a young debris disc.
We detect profile distortions and Zeeman signatures in the unpolarized and
circularly polarized lines for each star, and have modelled their rotational
modulation using tomographic imaging, yielding brightness and magnetic maps. We
find that Par 1379 harbours a weak (250 G), mostly poloidal field tilted
$65^{\circ}$ from the rotation axis. In contrast, Par 2244 hosts a stronger
field (860 G) split 3:2 between poloidal and toroidal components, with most of
the energy in higher order modes, and with the poloidal component tilted
$45^{\circ}$ from the rotation axis. Compared to the lower mass wTTSs, V819 Tau
and V830 Tau, Par 2244 has a similar field strength, but is much more complex,
whereas the much less complex field of Par 1379 is also much weaker than any
other mapped wTTS. We find moderate surface differential rotation of
$1.4\times$ and $1.8\times$ smaller than Solar, for Par 1379 and Par 2244,
respectively. Using our tomographic maps to predict the activity related radial
velocity (RV) jitter, and filter it from the RV curves, we find RV residuals
with dispersions of 0.017 kms$^{-1}$ and 0.086 kms$^{-1}$ for Par 1379 and Par
2244, respectively. We find no evidence for close-in giant planets around
either star, with $3\sigma$ upper limits of 0.56 and 3.54 M$_{\text{jup}}$ (at
an orbital distance of 0.1 au).
