Strong winds from massive stars are a topic of interest to a wide range of astrophysical
fields, e.g., stellar evolution, X-ray binaries or the evolution of galaxies. In
High-Mass X-ray Binaries the presence of an accreting compact object on the one side
allows to infer wind parameters from studies of the varying properties of the emitted
X-rays; but on the other side the accretor's gravity and ionizing radiation can strongly
influence the wind flow. Based on a collaborative effort of astronomers both from the
stellar wind and the X-ray community, this presentation attempts to review our current
state of knowledge and indicate avenues for future progress.