Crux has the story of a Spanish bishop apologizing for a priest allowing an image of the Hindu diety Ganesh to be brought into a Catholic church and lauded with a Marian hymn.
One interesting aspect of the story is that the initiative apparently came from the Catholic side; the Hindus, who were celebrating a feast of Ganesh, initially planned to simply stop at the front of the church and leave an offering of flowers. It was apparently the Catholic priest who had them come into the Church, bring the statue of Ganesh before the altar, and have the Marian hymn sung.
From a Hindu perspective, such syncretism makes sense: Mary might be seen as an avatar of Ganesh. But from a Catholic position it makes little sense: Mary is a human creature, not a divine avatar. So it is ironic that the Hindus set out to be more respectful of Catholic theology than the Catholics themselves were.
Perhaps this is a reminder that, in the encounter of cultures, enthusiasm for openness and toleration must be balanced with a certain sobriety and concern for theological and liturgical integrity.