Abstract We investigate here the asymptotic behaviour of a large, typical meandric system. More precisely, we show quenched local convergence random uniform system $\boldsymbol {M}_n$ on $2n$ points, as $n \rightarrow \infty $, towards infinite noodle introduced by Curien et al. [3]. As consequence, denoting $cc( \boldsymbol {M}_n)$ number connected components {M}_n$, prove in probability $cc(\...