Council of Trent, First Decree on Original Sin
If any one denies, that, by the grace of our Lord Jesus Christ, which is conferred in baptism, the guilt of original sin is remitted; or even asserts that the whole of that which has the true and proper nature of sin is not taken away; but says that it is only rased, or not imputed; let him be anathema. For, in those who are born again, there is nothing that God hates; because, There is no condemnation to those who are truly buried together with Christ by baptism into death; who walk not according to the flesh, but, putting off the old man, and putting on the new who is created according to God, are made innocent, immaculate, pure, harmless, and beloved of God, heirs indeed of God, but joint heirs with Christ; so that there is nothing whatever to retard their entrance into heaven. But this holy synod confesses and is sensible, that in the baptized there remains concupiscence, or an incentive (to sin); which, whereas it is left for our exercise, cannot injure those who consent not, but resist manfully by the grace of Jesus Christ; yea, he who shall have striven lawfully shall be crowned. This concupiscence, which the apostle sometimes calls sin, the holy Synod declares that the Catholic Church has never understood it to be called sin, as being truly and properly sin in those born again, but because it is of sin, and inclines to sin.
Catholic Encyclopedia:A short but important statement of the Catholic doctrine on this point may be quoted from Peter the Deacon, a Greek, who was sent to Rome to bear witness to the Faith of the East: “Our belief is that Adam came from the hands of his Creator good and free from the assaults of the flesh” (Lib. de Incarn., c. vi). In our first parents, however, this complete dominion of reason over appetite was no natural perfection or acquirement, but a preternatural gift of God, that is, a gift not due to human nature; nor was it, on the other hand, the essence of their original justice, which consisted in sanctifying grace; it was but a complement added to the latter by the Divine bounty. By the sin of Adam freedom from concupiscence was forfeited not only for himself, but also for all his posterity with the exception of the Blessed Virgin by special privilege. Human nature was deprived of both its preternatural and supernatural gifts and graces, the lower appetite began to lust against the spirit, and evil habits, contracted by personal sins, wrought disorder in the body, obscured the mind, and weakened the power of the will, without, however, destroying its freedom.
Ming, J. (1908). Concupiscence. In The Catholic Encyclopedia. New York: Robert Appleton Company.
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