  Given a partial action $\theta$ of a group on a set with an algebraic
structure, we construct a reflector of $\theta$ in the corresponding
subcategory of global actions and study the question when this reflector is a
globalization. In particular, if $\theta$ is a partial action on an algebra
from a variety ${\sf V}$, then we show that the problem reduces to the
embeddability of certain generalized amalgam of ${\sf V}$-algebras associated
with $\theta$. As an application, we describe globalizable partial actions on
semigroups, whose domains are ideals.
