  We present here the natural extension of our Pila-Wilkie type estimates on
the number of rational points of the trascendent part of a compact analytic
subset of $\mathbb{F}_{q}((1/T))^{n}$ to analogous subsets of $K^{n}$, where
$K$ is a general local field of any characteristic. That would integrate the
analogous estimate provided by F. Loeser, G. Comte and R. Cluckers in
characteristic 0.
