A globaliser of a c.e. first-order theory T is a c.e. theory U such that U is locally interpretable in T and any c.e. theory V locally interpretable in T is globally interpretable in U. From standard results about reflexive theories (e.g. PA, ZF, ZFC) it follows that any reflexive theory is its own globaliser. In recent years Albert Visser proved that Robinson's arithmetic R is its own globaliser. And that there is a globaliser for any sequential c.e. theory T. In the present talk I would give two proofs of a new result that for any c.e. theory T there is a globaliser. The talk is based on two papers in preparation. One is joint with Albert Visser and the other is joint with Yong Cheng.