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We consider topological and non-topological regular soliton solutions in theEinstein-Maxwell-Skyrme theory. We analyze the properties of these solutionsand determine their domains of existence. The dependence of the solutions onthe gauge coupling and on the strength of the effective gravitational couplingare examined. Topologically trivial localized field configurations,\textit{pion stars}, are shown to exist, as non-linear gravitational boundstates of the Skyrme field. Both spherically-symmetric and axially-symmetricpion stars are considered. We find that these solutions share many featureswith the usual (mini-)boson stars. In particular they also exhibit a spiralingbehavior and do not possess a flat space limit.

Skyrmions and pion stars in the $U(1)$ gauged Einstein-Skyrme model