We investigate $\varepsilon$-factorised differential equations and purity for
Feynman integrals. We are in particular interested in Feynman integrals beyond
the ones which evaluate to multiple polylogarithms. We show that a
$\varepsilon$-factorised differential equation does not necessarily lead to
pure Feynman integrals. We also point out that a proposed definition of purity
works locally, but not globally.