  We discuss some interesting aspects of the $\rm Q$-ball formation during the
early oscillations of the flat directions. These oscillations are triggered by
the running of soft $({\rm mass})^2$ stemming from the nonzero energy density
of the Universe. However, this is quite different from the standard $\rm
Q$-ball formation. The running in presence of gauge and Yukawa couplings
becomes strong if $m_{1/2}/m_0$ is sufficiently large. Moreover, the $\rm
Q$-balls which are formed during the early oscillations constantly evolve, due
to the redshift of the Hubble-induced soft mass, until the low-energy
supersymmtery breaking becomes dominant. For smaller $m_{1/2}/m_0$, $\rm
Q$-balls are not formed during early oscillations because of the shrinking of
the instability band due to the Hubble expansion. In this case the $\rm
Q$-balls are formed only at the weak scale, but typically carry smaller
charges, as a result of their amplitude redshift. Therefore, the Hubble-induced
corrections to the flat directions give rise to a successful $\rm Q$-ball
cosmology.
