Short answer. Yes, subject to being born. A child already conceived when the decedent dies is capable of succeeding, provided it is later born under the conditions the Code prescribes. The estate should not be settled as though the child did not exist.

What the law says

In order to be capacitated to inherit, the heir, devisee or legatee must be living at the moment the succession opens, except in case of representation, when it is proper. A child already conceived at the time of the death of the decedent is capable of succeeding provided it be born later

Civil Code, Article 1025 — The Heir Must Be Living at the Opening. Read the full provision →

What the law says

Birth determines personality; but the conceived child shall be considered born for all purposes that are favorable to it

Civil Code, Article 40 — Birth Determines Personality. Read the full provision →

What the law says

The rights to the succession are transmitted from the moment of the death of the decedent.

Civil Code, Article 777 — Succession Opens at the Moment of Death. Read the full provision →

Conception before the death is enough

Article 1024 opens the door — persons not incapacitated by law may succeed by will or ab intestato — and Article 1025 sets the timing rule. In order to be capacitated to inherit, the heir, devisee or legatee must be living at the moment the succession opens, except in case of representation, when it is proper. A child already conceived at the time of the death of the decedent is capable of succeeding provided it be born later under the conditions the Code lays down. So the general requirement of being alive at the moment of death is expressly relaxed for a child already conceived. What matters is conception before the death and live birth afterwards, and the second element is a condition, not a formality.

The wider principle behind it

This is not a special rule invented for estates. Article 40 states it generally: Birth determines personality; but the conceived child shall be considered born for all purposes that are favorable to it, provided it is born later under the conditions the Code specifies. Inheriting is plainly favourable, so the unborn child is treated as already a person for that purpose. The construction is deliberate — the law does not confer full personality before birth, but neither does it let an accident of timing strip a child of what it would have taken had it been born a few months earlier.

Why the date of death, not the date of birth, governs

Article 777 provides that The rights to the succession are transmitted from the moment of the death of the decedent. The grandchild's right therefore dates from your son's death, not from the delivery; birth confirms a right already vested rather than creating a new one. That has a practical edge. Until the heirs divide, Article 1078 holds the estate in common among them subject to the debts of the deceased, and a partition carried out in the meantime that ignores the pregnancy is a partition made among the wrong set of heirs.

What the family should do now

Wait. There is no advantage in settling before the birth and considerable risk in doing so, particularly where documents are signed that purport to allocate specific property. Keep the medical records that establish the pregnancy and its dates, because conception before the death is the fact everything rests on. When the time comes, what the child actually takes depends on which relatives survived your son and is fixed by the rules on succession applied to the real family tree; where he was married, the couple's property regime is liquidated first so that only his own share forms the estate.

Related provisions

Note. Statute text quoted on this page is reproduced from the official enactment and is linked to the full provision. The explanation around it is general legal information from Vivas & Nobles Law Office, not legal advice. Whether it applies to your situation depends on facts only a lawyer reviewing them can assess.