Summary: We show existence and we give a geometric characterization of isoperimetric regions for large volumes, in \(C^2\)-locally asymptotically Euclidean Riemannian manifolds with a finite number of \(C^0\)-asymptotically Schwarzschild ends. This work extends previous results contained in [M. Eichmair and J. Metzger, Invent. Math. 194, No. 3, 591–630 (2013; Zbl 1297.49078); J. Differ. Geom. 94, No. 1, 159–186 (2013; Zbl 1269.53071); S. Brendle and M. Eichmair, J. Differ. Geom. 94, No. 3, 387–407 (2013; Zbl 1282.53053)]. Moreover strengthening a little bit the speed of convergence to the Schwarzschild metric we obtain existence of isoperimetric regions for all volumes for a class of manifolds that we named \(C^0\)-strongly asymptotic Schwarzschild, extending results of [Zbl 1282.53053]. Such results are of interest in the field of mathematical general relativity.