If a Catholic marries a non-baptized person, can the sacrament be received during a Mass?

My daughter is engaged to a non-baptised young man. He has done research on the requirements for them to be married in the Catholic Church, and said that the sacrament of Matrimony can be conferred during a Mass if two Catholics are getting married, or if a Catholic is marrying a baptized non-Catholic, but not if a Catholic is marrying a non-Christian. Is that correct, that the couple cannot have the ceremony during a Mass if one party is not baptized?

momof8,

The following link should assist you in better understanding the Catholic Church’s teaching on having a Nuptial Mass. If you have any further questions or concerns that are not answered by these links, please contact Catholic Answers directly.

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Can a Catholic and an unbaptized person have a nuptial Mass?**
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