  Attention has been recently drawn towards models in which inflation and
quintessence schemes are unified. In such `quintessential inflation' models, a
unique scalar field is required to play both the role of the inflaton and of
the late-time dynamical cosmological constant. We address the issue of the
initial conditions for quintessence in this context and find that, in the two
explicit examples provided, inflation can uniquely fix them to be in the
allowed range for a present day tracking.
