Given a smooth partial action \(\alpha \) of a Lie groupoid G on a smooth manifold M, we provide necessary and sufficient conditions for \(\alpha \) to be globalizable with smooth globalization. As an application, we provide results on the differentiable structure of orbit and stabilizer spaces induced by \(\alpha ,\) which leads to other criteria for its globalization in terms of its orbit maps in the case that \(\alpha \) is free and transitive. Further, under the assumption that \(\alpha \) is free and proper, we prove that there exists exactly one differentiable structure on the quotient structure of the orbit equivalence space M/G such that the quotient map \(\pi :M\rightarrow M/G\) is a submersion.
