Can a Muslim man marry a non Muslim woman in her country as per her local laws and customs?

I would like to ask if a Muslim man can marry a non-Muslim woman in her country, is it valid? Is it possible to have equal wedding ceremony, like if the woman is a Christian can a Muslim man marry the Christian woman to her church and will it be considered valid to Muslim? Or if any case, the ceremony will be on a civil wedding in woman's country, is it valid still?