Brazil's World Cup qualifying campaign received a much-needed boost after a brace from Willian inspired the Selecao to a 3-1 win over Venezuela on Tuesday.
Dunga and his charges were heavily criticised after being completely outplayed by Copa America champions Chile in a 2-0 loss in their opening World Cup qualifier.
Fans in Brazil had barely taken their seats when Willian gave the home team a dream start less than a minute into proceedings, opening the scoring after just 37 seconds when Venezuela goalkeeper Alain Baroja failed to deal with his shot.
The Chelsea star then made it 2-0 three minutes before half-time with his sixth goal in as many matches for club and country.
Venezuela got themselves back into the game in the 64th minute when Christian Santos scored the nation's first World Cup qualifying goal on Brazilian soil with a strike from close range.
Their hopes of a comeback, though, were dashed by 35-year-old Brazil striker Ricardo Oliveira with 16 minutes remaining. He stooped low to head past Baroja after Venezuela failed to clear Douglas Costa's delivery across the penalty area, making the score 3-1 on the night.
Brazil moved to fifth spot in the South American World Cup qualification log, with three points from two games and face Argentina in their next World Cup qualifier in November.
Peru 3-4 Chile
Alexis Sanchez and Eduardo Vargas both scored a brace to hand Chile the three points in a seven-goal thriller at Peru.
Following the win, Chile sit in third spot in the South American World Cup qualification log, having won both opening games, while Peru started their campaign with two defeats.