  Recent studies based on numerical models of the Local Group predict the
existence of field haloes and galaxies that have visited two distinct galaxies
in the past, called Hermeian haloes. This work presents an analysis of the
Hermeian haloes population in two high-resolution dark matter-only N-body
simulations from the MultiDark suit (the ESMDPL, VSMDPL). Hermeian haloes make
up from 0.5 to 2.5 per cent of the total number of field haloes depending on
their mass. Furthermore, the results of our study suggest that at a
sufficiently high resolution simulation, Hermeian haloes may be found around
almost every halo, making them interesting for studies of matter exchange
between galaxies. We find that about half (22 out of 49) of the selected Local
Group analogues contain Hermeian haloes that passed through the haloes of both
the Milky Way and M31 if the distance between the two main haloes is below 1
$h^{-1} \;\mathrm{Mpc}$; this fraction drops to one-fifth (24 out of 108) for
distances of up to 1.5 $h^{-1} \;\mathrm{Mpc}$. We confirm earlier findings
that unlike other field haloes, Hermeians are grouped along the line connecting
the primary hosts of Local Group-like systems, which should facilitate their
identification in observations. The vast majority of the Hermeian haloes, whose
second target is a Milky Way analogue, are currently moving away from it with
increased velocity compared to remaining field halo populations. Interestingly,
the obtained data admits that NGC 3109 could have passed through the Andromeda
Galaxy and the Milky Way earlier.
