Brazil’s humiliating exit from the 2014 World Cup prompted their federation to take drastic measures in a bid to restore former glory.
The appointment of Dunga as Luiz Felipe Scolari's successor was the first step taken, and it appears another drastic change has been made regarding the aforementioned centre-backs.
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Following their lacklustre performances during the recent 2018 World Cup qualifiers, Brazil's 52-year-old manager has made the decision to axe both Luiz and Silva ahead of this summer's tournament in the United States.
Another significant exclusion was Real Madrid full-back Marcelo. The Los Blancos star has failed to convince Dunga of a starting berth, with Atletico Madrid's Filipe Luis picked ahead of him.
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Barcelona superstar Neymar also missed out but only because the Brazil captain asked to be so amidst his desire to only feature at the Rio Olympics in August.
Dunga will announce his official 23-man squad for the Copa America on May 5, but for now, here's the 40-man shortlist.
Goalkeepers: Alisson (Internacional), Diego Alves (Valencia), Ederson (Benfica), Marcelo Grohe (Gremio)
Defenders: Dani Alves (Barcelona), Rodrigo Caio (Sao Paulo), Fabinho (Monaco), Fagner (Corinthians), Gil (Shandong Luneng), Jemerson (Monaco), Filipe Luis (Atletico Madrid), Marquinhos (Paris Saint-Germain), Miranda (Inter), Gabriel Paulista (Arsenal), Alex Sandro (Juventus), Douglas Santos (Atletico Mineiro)
Midfielders: Rafinha Alcantara (Barcelona), Felipe Anderson (Lazio), Renato Augusto (Beijing Guoan), Casemiro (Real Madrid), Douglas Costa (Bayern Munich), Philippe Coutinho (Liverpool), Elias (Corinthians), Fernandinho (Manchester City), Paulo Henrique Ganso (Sao Paulo), Luiz Gustavo (Wolfsburg), Kaka (Orlando City), Lucas Lima (Santos), Lucas Moura (Paris Saint-Germain), Oscar (Chelsea), Walace (Gremio), Willian (Chelsea)
Forwards: Roberto Firmino (Liverpool), Gabriel (Santos), Hulk (Zenit), Gabriel Jesus (Palmeiras), Jonas (Benfica), Luan (Gremio), Ricardo Oliveira (Santos), Alex Teixeira (Jiangsu Suning)
Securing the Ligue 1 title so convincingly with PSG doesn't appear to have been enough to convince Dunga of Luiz and Silva's inclusions.
Where the latter is concerned, the 31-year-old captain has revealed a desire to join Barcelona, per the Daily Mail.
The La Liga champions are unsure on a move, though, after Silva rejected a transfer to the Camp Nou in 2012. Barca are also aware of how difficult it would be to prise PSG's captain away from the Parc des Princes.