  A foliation is of toric type when it has a combinatorial reduction of
singularities. We show that every toric type foliation on (C3, 0), without
saddle-nodes, has invariant surface. We extend the argument of Cano-Cerveau,
done for the nondicritical case, to the compact dicritical components of the
exceptional divisor. These components are projective toric surfaces and the
isolated invariant branches of the induced foliation extend to global curves.
We build the invariant surface as a germ along the singular locus and those
global invariant curves. The result of Ortiz-Rosales-Voronin, about the
distribution of invariant curves in dimension two, is a key argument in our
proof.
