  Recently the CERN ALICE experiment, in its dedicated cosmic ray run, observed
muon bundles of very high multiplicities, thereby confirming similar findings
from the LEP era at CERN (in the CosmoLEP project). Originally it was argued
that they apparently stem from the primary cosmic rays with a heavy masses. We
propose an alternative possibility arguing that muonic bundles of highest
multiplicity are produced by strangelets, hypothetical stable lumps of strange
quark matter infiltrating our Universe. We also address the possibility of
additionally deducing their directionality which could be of astrophysical
interest. Significant evidence for anisotropy of arrival directions of the
observed high multiplicity muonic bundles is found. Estimated directionality
suggests their possible extragalactic provenance.
