St. Augustine corrected an error in an early edition of his book, A Treatise On The Soul and its Origin, as follows:
Chapter 13 [X]—His Seventh Error. (See Above in Book II. 13 [IX.].)
If you wish to be a catholic, do not venture to believe, to say, or to teach that “they whom the Lord has predestinated for baptism can be snatched away from his predestination, or die before that has been accomplished in them which the Almighty has predestined.” There is in such a dogma more power than I can tell assigned to chances in opposition to the power of God, by the occurrence of which casualties that which He has predestinated is not permitted to come to pass. It is hardly necessary to spend time or earnest words in cautioning the man who takes up with this error against the absolute vortex of confusion into which it will absorb him, when I shall sufficiently meet the case if I briefly warn the prudent man who is ready to receive correction against the threatening mischief. Now these are your words: “We say that some such method as this must be had recourse to in the case of infants who, being predestinated for baptism, are yet, by the failing of this life, hurried away before they are born again in Christ.” Is it then really true that any who have been predestinated to baptism are forestalled before they come to it by the failing of this life? And could God predestinate anything which He either in His foreknowledge saw would not come to pass, or in ignorance knew not that it could not come to pass, either to the frustration of His purpose or the discredit of His foreknowledge? You see how many weighty remarks might be made on this subject; but I am restrained by the fact of having treated on it a little while ago, so that I content myself with this brief and passing admonition.
Augustine, Saint. The Complete Works of St. Augustine: Cross-linked to the Bible and with in-line footnotes (p. 8846). Kindle Edition.
This is St. Augustine's considered response to the idea that some of the predestined (infants) could be snatched away by death before they obtain baptism. It is also a very powerful response to those who would say that baptism of desire supplies for the lack of baptism in catechumen or other "just" among the elect (and some misguided souls also apply this to non-Christians) who do not receive baptism: the truth of predestination and God's law of the necessity of baptism makes a mockery of the thought of the need for such a "supply" as BOD provides. If only St. Augustine had written a passage in his later life explicitly confronting the idea of BOD as salvific in light of his mature understanding of Predestination, which he so eloquently talked about in his anti-Pelagian writings. And yet again the importance of this dogma of the faith, Predestination, and the long-reaching consequences of its recession from the front of the Catholic mind, is demonstrated: BOD, the salvation of non-Catholics, etc.