This is a partial answer pertaining to the Spanish Inquisition only. It is wholly based on the book:
Jean-Antoine Llorente, Histoire critique de l'Inquisition d'Espagne, Vols. 1-4, Paris 1817-1818.
Google provides scans of
vol. 1,
vol. 2,
vol. 3,
vol. 4.
Don Juan Antonio Llorente, the author of this book ("A critical history of the Spanish Inquisition") was formerly secretary of the Inquisition of the Court and wrote it in self-imposed French exile. He based it on original documents from the archives of the Supreme Council and the subordinate tribunals of the Holy Office.
In volume 1, pp. 305 & 306
he states that torture had factually been abolished for quite some time:
Il est certain que la torture n'a pas été décrétée
depuis long-temps par les inquisiteurs,
de manière qu'on peut aujourd'hui la regarder comme abolie par
le fait; le fiscal lui-même serait souvent fâché qu'on
l'ordonnât, et s'il la demande, c'est pour suivre
l'exemple de ses prédécesseurs: toutefois, il n'y a pas
moins de cruauté à la faire craindre [...]
Translation: "It is certain that torture has not been decreed by
the inquisitors for a long time, such that one can regard it
as de facto abolished today; the prosecutor himself would often be
angry that it should be ordered, and if he asks for it, it is
to follow the example of his predecessors: however, there is
no less cruelty in making [a prisoner] fear it [...]"
However, in the same volume, p. 309, Llorente makes it clear that torture has not been abolished de jure as of the time of writing:
Ma plume se refuse à retracer le tableau
de ces horreurs; car je ne connais rien de plus opposé,
que cette conduite des inquisiteurs, à l esprit de
charité et de compassion que Jesus Christ recommande
si souvent aux hommes dans l'Evangile; et cependant,
malgré ce scandale, il n'existe encore, après
le 18e siècle, aucune loi ni aucun décret, qui ait
aboli la torture.
Translation:
"I refuse to provide a more detailed description of these horrors,
as I know nothing more opposed to the spirit of charity and compassion
Jesus Christ recommends so often to men in the Gospels than this behavior
of the inquisitors; and yet, despite this scandal there still exists,
even after the close of the 18th century, no law or decree which has abolished torture."
Presumably Llorente was not yet aware of the papal decree of 1816 when he wrote this. In volume 4, p. 169
he has caught up to the latest developments:
Une lettre de Rome, du 31 mars 1816, annonce que Sa Sainteté
vient d'abolir la torture dans tous les tribunaux du Saint Office,
et qu'elle a fait communiquer cette résolution aux ambassadeurs
d'Espagne et de Portugal. Une seconde lettre de la même capitale
du 17 avril suivant, donne plus de détails, et mérite d être
insérée ici, malgré son étendue:
Translation: "A letter from Rome, dated March 31, 1816, announces that
His Holiness has just abolished torture in all the tribunals of the
Holy Office, and that he has communicated this decision to the
ambassadors of Spain and Portugal. A second letter from the same
capital that followed on April 17 provides more details, and
deserves to be inserted here in spite of its length:"
While Llorente's book presents a number of historical cases in which torture was used, I have not been able to identify a last documented instance of torture in it as the work is quite voluminous. It should be noted that, after being briefly abolished during Napoleonic times, the Spanish Inquisition continued as an institution until 1834.