The miracle attributed to Rivier, who can now be canonized as a saint in the Catholic Church, involved the healing of a newborn baby in the Philippines in 2015.
The new regulations are designed partly to prevent conflicts of interest.
Fr. Placido Cortese has been dubbed “the Italian Fr. Kolbe.”
Pope Francis has recognized the heroic virtue of three Italian religious sisters who died from Ebola in Africa during the 1995 outbreak.
Pope Francis advanced Tuesday the sainthood causes of several men and women, including two Italian priests of the 20th century -- one who was ordained at age 23 and another who was ordained at 65.
Pope Francis Wednesday advanced the sainthood causes of five men and women, including an Italian teenager who died of a brain tumor in 2009, declaring them “venerable.”