  We give an explicit positive answer, in the case of reduced curve
singularities, to a question of B. Teissier about the existence of a toric
embedded resolution after reembedding. In the case of a curve singularity
$(C,O)$ contained in a non singular surface $S$ such a reembedding may be
defined in terms of a sequence of maximal contact curves of the minimal
embedded resolution of $C$. We prove that there exists a toric modification,
after reembedding, which provides an embedded resolution of $C$. We use
properties of the semivaluation space of $S$ at $O$ to describe how the dual
graph of the minimal embedded resolution of $C$ may be seen on the local
tropicalization of $S$ associated to this reembedding.
