  We consider the direct detection of WIMPs reaching the Earth from outside the
Milky Way. If these WIMPs form a distinct population they will, although of
much lower flux than typical galactic halo WIMPs, have a number of features
which might aid in their ultimate detectability: a high and essentially unique
velocity ($\sim 600$ km/s in the galactic rest frame) due to their acceleration
in entering the Milky Way, and most likely one or two unique flight directions
at the Earth. This high velocity may be experimentally advantageous in direct
detection experiments, since it gives a recoil signal at relatively high energy
where background is generally much reduced. For a density of extragalactic
WIMPs comparable to the critical density of the universe the count rate
expected is very roughly the same as that of fast galactic WIMPs. If there is
an increased density relative to critical associated with the Local Group of
galaxies, say 10-30 times the critical density, there is a corresponding
increase in rate and the extragalactic WIMPs would show up as a high energy
shoulder in the recoil energy distribution. Evidence of such WIMPs as a
separate population with these distinct properties would offer interesting
information on the formation and prehistory of the galaxy.
