Brazil captain Thiago Silva said his team did not deserve to end their FIFA World Cup campaign on a losing note.
Robin van Persie, Daley Blind and Georginio Wijnaldum all scored as the Netherlands disposed of the host nation 3-0 in the third-place play-off in Brasilia on Saturday.
The defeat came on the back of Brazil's embarrassing 7-1 loss to Germany in the semi-final and Thiago Silva, who was fortunate to escape a red car after giving away a third-minute penalty, could not hide his disappointment with the nation's failure post-game.
"The main feeling is frustration," Thiago Silva told reporters.
"We dreamed of this World Cup and I had sleepless nights thinking about it. We did not deserve to end like this.
"The sorrow is too great, to go home and know that you failed."
Luiz Felipe Scolari's men were far from their best against the Dutch but they improved in the second-half after conceding two goals during the opening 45 minutes.
The best opportunity of the half fell to Oscar - a rare shining light for Brazil - who was mistakenly shown a yellow card for simulation in the 67th minute, after replays suggested he should have been awarded a penalty having been fouled by Blind.
A crestfallen Oscar said Brazil were unfortunate not to earn more from the bronze-medal clash at the Estadio Nacional de Brasilia.
"It's a horrible feeling. I don't even know what to say," he said.
"We played well but wasn't our day.
"It was always going to be tough after conceding after two minutes.
"We had chances but were unable to get back into the game."
|Macedonia 0 Australia 0: Stalemate in Skopje|
|Del Bosque not out for Netherlands revenge|
|Burton Albion 1 Stevenage 1: Both teams score at wrong end in draw|
|Pekerman: I have no say on Falcao´s Manchester United future|
|Buffon has studied England new boy Kane|
|Conte urges patience from Italy fans|
|Johnson tasked with keeping Cheltenham up|
|Rooney not keen on Serie A switch|
|Kane to make first England start|
|Colombia 3 Kuwait 1: Spot-on Falcao nears Iguaran record|
|Goal-shy Barkley eyes striker´s role|
|UEFA opens disciplinary proceedings against Montenegro and Russia|
|Draxler and Choupo-Moting back in training|
|Ghana v Mali: Last chance to impress before Giresse return|
|Wilson: Gibraltar getting stronger|
|Mata confident of Spain future|
|Armenia coach Challandes resigns|
|Hiddink rubbishes talk of Dutch negativity|
|Portugal v Cape Verde: Santos set to rotate|
|Loren hails Moyes for Sociedad surge|
|Cruyff brands Netherlands ´a disgrace´|
|Kick It Out backs Barnes over race comments|
|Argentina v Ecuador: Messi remains doubtful for friendly|
|Coates backs Hughes ambition at Stoke|
|Atletico able to call on Saul again|
|Italy v England Preview: Kane set to start after dream debut|
|Zidane would accept Real job|
|Hernandez frustrated by lack of Real opportunities|
|Spartak donate money to 102-year-old fan after robbery|
|Clasie pulls out of Netherlands squad|
|Italy´s Bertolacci out of England friendly|
|Newcastle post record profit as Ashley debt stays the same|
|Al Sadd: We want Xavi to bring tiki-taka|
|Lacazette expected frosty Saint-Etienne reception|
|Barnes: I can´t get back into management because I´m black|
|Rooney praises England aggression|
|Southgate tips Kane for return to U21s|
|Mexico v Paraguay: Goals in order for Copa America aspirants|
|Netherlands - Spain Preview: Wijnaldum rallies behind under-fire Hiddink|
|Peru v Venezuela: Sanvicente wants Venezuelan response|
|Carvalho confident of playing Juventus|
|Neymar demands protection after Medel stamp|
|MLS Review: RSL, Fire secure breakthrough wins|
|Firmino firmly on radar - Dunga|
|O´Neill delighted with second-half display|
|First-half dominance pleases Deschamps|
|Muller criticises Germany profligacy|
|Euro 2016 Qualifying Review: Portugal go top, Gibraltar make history in defeat|
|Liverpool the only English club I could play for - Suarez|
|France 2 Denmark 0: Lacazette off the mark in routine victory|
|Republic of Ireland 1 Poland 1: Long rescues vital point|
|Portugal 2 Serbia 1: Coentrao puts hosts top of Group I|
|Strachan hails ´terrific´ Gibraltar|
|Lafferty back playing with a smile on his face - O´Neill|
|Toure to reveal Ivory Coast future over coming days|
|Georgia 0 Germany 2: Reus and Muller on target for world champions|
|Northern Ireland 2 Finland 1: Lafferty inspires fourth qualifying success|
|Scotland 6 Gibraltar 1: Casciaro´s historic moment outshone by Fletcher´s hat-trick|
|France 2-0 Denmark: Lacazette and Giroud on target|
|Firmino hopeful of Copa America spot|
|Hummels considering options at Dortmund|
|Suarez goalless on Anfield return, but Balotelli nets stunner|
|Casciaro scores first competitive goal for Gibraltar|
|Fleetwood Town 1 Preston North End 1: Ball stunner claims share of derby spoils|
|Italy v England: Judge me on results, says Conte|
|Colombia v Kuwait: Falcao seeking another strong showing|
|Brazil 1 Chile 0: Firmino settles scrappy affair|
|Luxembourg v Turkey: Let´s kick on, urges Terim|
|South Africa 1 Nigeria 1: Zungu strikes late to earn draw|
|Smalling wants long-term United stay|
|South Africa 1-1 Nigeria: Last-gasp Zungu goal cancels out Musa strike|
|Italy call up Santon and Abate for England friendly|
|Switzerland v United States: Klinsmann eyes learning curve|
|Netherlands v Spain: Hiddink has players´ support, says Wijnaldum|
|A-League Review: Sydney end Wellington run, Adelaide suffer injury blows in Jets win|
|Henderson eyes long-term Liverpool future|
|I have nothing to prove - Bale|
|Brazil 1-0 Chile: Firmino gives Selecao battling victory|
|South Korea v New Zealand: All Whites looking to future|
|Japan v Uzbekistan: Hosts eye another win under Halilhodzic|
|MLS Review: Kaka nets in Orlando draw|
|Mexico 1 Ecuador 0: Hernandez, Corona help Herrera´s men to victory|
|Deschamps calls for France response|
|Dunga unfazed by pressure|
|Montenegro fan turns himself in after flare incident|
|Injured Messi not ready - Martino|
|Hodgson: Rooney not close to Charlton|
|Terim proud of Turkey|
|Hiddink happy with point|
|Euro 2016 Qualifying Review: Netherlands and Italy stage late escapes|
|Debutant Eder delighted with Azzurri bow|