The solutions to many singular SPDEs are obtained as limits of regularised and then renormalised equations. The renormalisation changes the "original" equation via quantities that are typically infinity, but they do have concrete physical meanings. As an example, I will discuss how the Phi^4_3 equation, interpreted after suitable renormalisations, arise naturally as the universal limit of symmetric phase coexistence models. We will also see how this universality can be lost when symmetry is broken.