52In that regard, as EU law currently stands, a person’s status, which is relevant to the rules on marriage and parentage, is a matter that falls within the competence of the Member States and EU law does not detract from that competence. The Member States are thus free to decide whether or not to allow marriage and parenthood for persons of the same sex under their national law. Nevertheless, in exercising that competence, each Member State must comply with EU law, in particular the provisions of the FEU Treaty on the freedom conferred on all Union citizens to move and reside within the territory of the Member States, by recognising, for that purpose, the civil status of persons that has been established in another Member State in accordance with the law of that other Member State (see, to that effect, judgment of 5 June 2018, Coman and Others, C‑673/16, EU:C:2018:385, paragraphs 36 to 38 and the case-law cited).
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