  We revisit a construction of wide subcategories going back to work of Ingalls
and Thomas. To a torsion pair in the category $
R\operatorname{-}\operatorname{mod}$ of finitely presented modules over a left
artinian ring $R$, we assign two wide subcategories in the category $
R\operatorname{-}\operatorname{Mod}$ of all $R$-modules and describe them
explicitly in terms of an associated cosilting module. It turns out that these
subcategories are coreflective, and we address the question of which wide
coreflective subcategories can be obtained in this way. Over a tame hereditary
algebra, they are precisely the categories which are perpendicular to
collections of pure-injective modules.
