  The main ingredient for local superconformal methods is the multiplet of
gauge fields: the Weyl multiplet. We construct the transformations of this
multiplet for $\mathcal{N}=3$, $D = 4$. The construction is based on a
supersymmetry truncation from the $\mathcal{N}=4$ Weyl multiplet, on coupling
with a current multiplet, and on the implementation of a soft algebra at the
nonlinear level, extending su$(2, 2|3)$. This is the first step towards a
superconformal calculus for $\mathcal{N}=3$, $D = 4$.
