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Sure. Thanks for the link. I'm going to read and learn and will come back here once my file modified. Thanks for your help.

I'm not sure I'm not wrong, since my skill in latex is very low..., but, With Biblatex, first, the brackets don't appear in the text. For instance, I get Abram2001 in bold instead of (Abram, 2001). But above all, the titles of the sections References and Annex Stuff don't appear in my table of ...

OK. It works... partially. The fact is there is two another issues:

1. according to APA norms, I have to indicate place published : publisher. For instance : Paris, France : Éditions Gallimard. But instead of this, I obtain : Éditions Gallimard, Paris, France. How to change that ?

2. Nor the ...

Sorry, but even when I insert natbib package, the same error appears with \cite{Abram2001}: this latter is mentioned twice. How could I fix that ?
Finally, it works, but I had to modify the command in this way : \citep{Abram2001} (p is here in bold to emphasize it, mais not in the latex code).

I'm sorry. This a MWE :

\begin{filecontents}{domiMain.bib}
@book{Abram2001,
author = {Abram, Jan},
title = {Le langage de Winnicott. {D}ictionnaire explicatif des termes winnicottiens},
Translator = {Athanassiou-Popesco, Cléopâtre},
publisher = {Éditions Popesco},
address = {Paris, France ...

I took time to understand what did not work finally and it seems that I have got two problems.
First, I cannot use the \cite{} command when it's about to mention an author and a book in the body of the text. For instance, if I write something like : "comme l'a écrit \cite{Abram2001}...", I obtain ...

OK. It works! Thanks so much for your help! Do you think it can work with Xelatex too since I use this latter to compile my classic thesis ? I'm going to try it and tell.

Good morning and happy new year!
Please, what do you mean by "missed an s" ?
This is the blg file :

This is BibTeX, Version 0.99d (TeX Live 2015)
Capacity: max_strings=35307, hash_size=35307, hash_prime=30011
The top-level auxiliary file: Essai.aux
The style file: apa.bst
Database file #1 ...

Here is the log file :

This is pdfTeX, Version 3.14159265-2.6-1.40.16 (TeX Live 2015) (preloaded format=pdflatex 2015.12.24) 31 DEC 2015 18:31
entering extended mode
restricted \write18 enabled.
file:line:error style messages enabled.
%&-line parsing enabled.
**Essai.tex
(./Essai.tex
LaTeX2e ...

I've just try to follow your indications, but I failed. My annex bib file isn't recognized as you can see it in this new MWE :

\documentclass[12pt]{article}
\usepackage{fontspec}
\usepackage[frenchb]{babel}
\usepackage[numberedbib,nosectionbib]{apacite}
\usepackage{multibib}
\newcites{annex ...