  We consider the low temperature regime of the mesoscopic Kondo problem, and
in particular the relevance of a Fermi-liquid description of this regime. Using
two complementary approaches -- a mean field slave fermion approximation on the
one hand and a Fermi-liquid description "\`a la Nozi\`eres" supplemented by an
argument of separation of scale on the other hand -- we show that they both
lead to (essentially) the same quasi-particle spectra, providing in this way a
strong indication that they both give the correct physics of this regime.
