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Elano, who scored twice for Brazil against Argentina at the Emirates Stadium in 2006, opened the scoring in the 13th minute when he played a one-two with Robinho and beat Italian goalie Gianluigi Buffon.
Soon thereafter, Robinho stole the ball from Andrea Pirlo at the top of Italy's penalty area and twice turned Gianluca Zambrotta inside out before scoring the second goal.
"We all know what Robinho can do but we talked about putting pressure on the Italians to recover the ball," said Brazil coach Dunga. "He showed good personality and fitted well into the team."
Robinho's performance overshadowed a solid outing by Ronaldinho and Adriano, who are both trying to regain places in the Brazil starting lineup.
"I think he gave a very good exhibition," Dunga said of Ronaldinho. "Adriano was just the attacker we needed for this match."
The loss ended Italy coach Marcello Lippi's bid for a record 32-match unbeaten run.