  We consider a random walk $S$ in the domain of attraction of a standard
normal law $Z$, \textit{ie} there exists a positive sequence $a_n$ such that
$S_n/a_n$ converges in law towards $Z$. The main result of this note is that
the rescaled process $(S_{\lfloor nt \rfloor}/a_n, t \geq 0)$ conditioned to
stay non-negative, to start and to come back \textit{near the origin} converges
in law towards the normalized brownian excursion.
