  The gravitational production of superheavy dark matter is studied in the
context of quintessential inflation. The superheavy particles, whose decay
products are baryonic matter and are the responsible for the reheating of the
universe after the end of the inflationary period, are not conformally coupled
with gravity. On the contrary, dark matter is assumed to be conformally coupled
with gravity. We show that the viability of these scenarios requires the mass
of the superheavy dark matter to be greater than 8 x 10^{15} GeV.
