  Recent observations of a small sample of repeating Fast Radio Bursts (FRBs)
have revealed a periodicity in their bursting activity that may be suggestive
of a binary origin for the modulation. We set out to explore the scenario where
a subset of repeating FRBs originates in binary systems hosting a highly
energetic neutron star and a massive companion star, akin to $\gamma$-ray
binaries and young High-Mass X-ray Binaries. Firstly, we specifically focus on
the host galaxy properties and binary formation rates. Subsequently, we
investigate the expected evolution of the rotation and dispersion measure in
this scenario, the predicted birth-site offsets, and the origin of the
persistent radio emission observed in a subset of these systems. The host
galaxies for repeating FRBs favour the formation of neutron star-massive star
binary systems but any conclusive evidence will require future discoveries and
localizations of FRBs. The birth rate of high-mass X-ray binaries, used as a
proxy for all considered binaries, significantly exceeds the estimated rate of
FRBs, which can be explained if only a small subset of these systems produce
FRBs. We show that under simple assumptions, we can reproduce the DM and RM
evolution that is seen in a subset of repeating FRBs. We also discuss the
possibility of detecting a persistent radio source associated with the FRB due
to an intra-binary shock between companion star wind and either the pulsar wind
or giant magnetar flares. The observed long-term luminosity stability of the
Persistent Radio Sources is most consistent with a giant flare-powered
scenario. However, this explanation is highly dependent on the magnetic field
properties of the neutron star. With these explorations, we have aimed to
provide a framework to discuss future FRB observations in the context of
neutron star-massive star binary scenarios.
