After struggling a little bit, I found a way.

For each page of the file, it was necessary to define into tabula's read_pdf function the area of the table and the limits of the columns.

Here is the working code:

import pypdf
from tabula import read_pdf

# Get the number of pages in the file
pdf_reader = pypdf.PdfReader(pdf_file)
n_pages = len(pdf_reader.pages)

# For each page the table can be read with the following code
table_pdf = read_pdf(
    pdf_file,
    guess=False,
    pages=1,
    stream=True,
    encoding="utf-8",
    area=(96, 24, 558, 750),
    columns=(24, 127, 220, 274, 298, 325, 343, 364, 459, 545, 591, 748),
)