Massimiliano Allegri, Antonio Conte and Zinedine Zidane have been named as the finalists for the Best FIFA Coach of the Year award.
Zidane led that Madrid side, who also triumphed in La Liga, while Conte tasted Premier League glory in his first season in England, having taken over a side who had ended the previous campaign in 10th place.
As well as Mourinho and Guardiola, the other bosses initially nominated to subsequently miss out on the final three are Carlo Ancelotti, Luis Enrique, Leonardo Jardim, Joachim Low, Mauricio Pochettino, Diego Simeone and Tite.
Also announced on Friday were the 10 nominations for the Puskas award for the best goal of 2017, which will be decided by a fan vote.
Kevin-Prince Boateng, Alejandro Camargo, Denya Castellanos, Moussa Dembele, Olivier Giroud, Aviles Hurtado, Mario Mandzukic, Oscarine Masuluke, Nemanja Matic and Jordi Mboula will have spectacular efforts put to a public vote.
The finalists for the best goalkeeper award are Gianluigi Buffon, Keylor Navas and Manuel Neuer.
The top women's coach will be battled out between Nils Neilsen, Gerard Precheur and Sarina Weigman, with award winners announced on October 23 at a ceremony in London.