The great majority of exoplanets discovered so far are orbiting cool,
low-mass stars whose properties are relatively similar to the Sun. However, the
stellar magnetism of these stars can be significantly different from the solar
one, both in topology and intensity. In addition, due to the present-day
technology used in exoplanetary searches, most of the currently known
exoplanets are found orbiting at extremely close distances to their host stars
(<0.1 au). The dramatic differences in stellar magnetism and orbital radius
can make the interplanetary medium of exoplanetary systems remarkably distinct
from that of the Solar System. To constrain interactions between exoplanets and
their host-star's magnetised winds and to characterise the interplanetary
medium that surrounds exoplanets, more realistic stellar wind models, which
account for factors such as stellar rotation and the complex stellar magnetic
field configurations of cool stars, must be employed. Here, I briefly review
the latest progress made in data-driven modelling of magnetised stellar winds.
I also show that the interaction of the stellar winds with exoplanets can lead
to several observable signatures, some of which that are absent in our own
Solar System.Comment: 9 pages, 2 figures, to appear in the proceedings of the IAUS302
"Magnetic fields throughout stellar evolution