  The recent detection of the singular diamagnetism of Dirac electrons in a
single graphene layer paved a new way of probing 2D quantum materials through
the measurement of equilibrium orbital currents which cannot be accessed in
usual transport experiments. Among the theoretical predictions is an intriguing
orbital paramagnetism at saddle points of the dispersion relation. Here we
present magnetisation measurements in graphene monolayers aligned on hexagonal
boron nitride (hBN)crystals. Beside the sharp diamagnetic McClure response at
the Dirac point, we detect extra diamagnetic singularities at the satellite
Dirac points (sDP) of the moir\'e lattice. Surrounding these diamagnetic
satellite peaks, we also observe paramagnetic peaks located at the chemical
potential of the saddle points of the Graphene moir\'e band structure and
relate them to the presence of van Hove logarithmic singularities in the
density of states. These findings reveal the long ago predicted anomalous
paramagnetic orbital response in 2D systems when the Fermi energy is tuned to
the vicinity of saddle points.
