  A thorough study is performed on pair production and signatures of
supersymmetric neutralinos in the MSSM at LEP2. Particular attention is paid to
the region of the SuSy parameter space where the associated production of
lightest and next-to-lightest neutralinos is the only visible allowed
supersymmetric process. In that region, the signal is critically dependent on
the selectron masses m(e_L,R). For sqrt(s)/2 < m(e_L,R) < 200-300 GeV and
charginos above the threshold for pair production, neutralinos arising from
e+e- --> X0(1)X0(2) could be the only SuSy signal detectable at LEP2.
