A density-functional approximation is used to study the high-temperatu
re phase diagram of a system of fullerene C60 molecules which are cons
idered as rigid spheres interacting via the Girifalco [J. Phys. Chem.
%, 858 (1992)] potential. We discuss the theoretical predictions toget
her with the contradictory results given by computer simulations on th
e existence of a conventional liquid phase for the fullerene C60. Theo
ry cannot definitively settle this point but the predictions for the m
elting and freezing lines are in quite good quantitative agreement wit
h simulations results.