"Michael and I have had two, three or four situations of this kind, " said Barrichello.
BBC: SPORT | Motorsport | Formula One | Barrichello to end Ferrari career
Hill produced the only clear overtaking manoeuvre of the day when he slipped by Rubens Barrichello.
Button's team-mate Rubens Barrichello scraped through into the second session but could manage only 14th place.
BBC: Hamilton edged out Ferrari's Kimi Raikkonen by 0.102secs
Button's team-mate Rubens Barrichello endured an incident-packed race but was impressed with the Brawn's durability.
Barrichello has led the calls for more stringent safety measures to be looked into.
Jenson Button sealed the drivers' championship with a fifth-placed finish while Rubens Barrichello was eighth.
Brawn's Rubens Barrichello, fighting with Vettel for second in the championship, will start fourth.
In his later interview on Sunday, Barrichello denied his experience at Ferrari had made him insecure.
Brawn refused to criticise Barrichello for Sunday's outburst and said he sympathised with his driver's frustration.
Barrichello finished sixth behind Williams's Nico Rosberg and Jenson Button while Lewis Hamilton was last.
Rubens Barrichello was the unluckiest driver out there as his Williams's reliability problems got worse.
BBC: Sebastian Vettel beats Lewis Hamilton to Abu Dhabi pole
So that underlines that Barrichello would have won the race regardless of Hamilton's pit-stop mix-up.
Barrichello was also third in the second session, just ahead of team-mate and championship leader Jenson Button.
The RA107 car, driven by Button and Rubens Barrichello, will aim to raise awareness of climate change.
BBC: SPORT | Motorsport | Formula One | Honda not quick enough - Button
Veteran Brazilian Barrichello believes he can still close the gap to Button in the remaining six races.
And Barrichello is looking forward to the November 18 race -- though this time as a spectator.
As for Button, he is back in eighth on the grid with team-mate Rubens Barrichello in 13th.
Brawn said he would listen to Barrichello's interview again before deciding whether to take the matter further.
That will be welcome news to drivers Button and Rubens Barrichello, who faced huge problems last year.
Barrichello and new world champion Jenson Button dominated the early part of this year's title race with Brawn.
Australian Mark Webber was fourth fastest for Red Bull ahead of Barrichello's team-mate and championship leader Jenson Button.
The Briton led from start to finish, despite two safety car periods, with Rubens Barrichello second in Melbourne.
"It's been a hard weekend and I can't remember doing so few laps over a weekend, " said Barrichello.
BBC: Sebastian Vettel beats Lewis Hamilton to Abu Dhabi pole
After a 1-2 in Australia with Button and Rubens Barrichello they lead the constuctors' championship ahead of Toyota.
The Super Aguri driver joins Mark Webber, David Coulthard, Rubens Barrichello, Jenson Button and Alexander Wurz in being eliminated.
BBC: SPORT | Motorsport | Formula One | Turkish GP qualifying as it happened
In the afternoon, Williams's Rubens Barrichello was seventh ahead of Kubica, the second Williams of Nico Hulkenberg and Rosberg.
Brawn's Ruben's Barrichello was seventh while Toro Rosso's Formula 1 debutant Jaime Alguersuari avoided any major incidents in 20th.
The identity of Maldonado's 2012 teammate is still unclear, with speculation surrounding the future of veteran Brazilian Rubens Barrichello.
Button, who leads Barrichello by 14 points in the drivers' championship, can still land the title in Sao Paulo.
Vettel is aiming to cement his second place in the drivers' championship by finishing ahead of Barrichello on Sunday.
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