From an interview with Archbishop Michael Fitzgerald, president of the Pontifical Council for Interreligious Dialog
The shared use of a building by various Churches is problematic. There are spaces dedicated to this purpose, for example, in airports. But they are not churches nor mosques. They are interfaith spaces, capable of being used by Jews, Christians, Muslims and persons of other faiths alike. But this is based on a type of agreement to allow for their shared use.
If it is a Catholic chapel with the Blessed Sacrament inside, it should not be used to for prayer services of another religious tradition.