The supermodel also has a daughter from a previous relationship with the infamous Italian businessman Flavio Briatore.
Only Renault said it definitely intends to use Kers in Australia - despite team boss Flavio Briatore branding it "terrible".
She has also had well-publicised liaisons with Robert de Niro, Mike Tyson, Spanish dancer Joaquin Cortez and Benetton chief Flavio Briatore.
Renault boss Flavio Briatore once bemoaned the sport's preoccupation with technological minutiae.
Gregory's position came under further scrutiny when Formula One magnates Flavio Briatore and Bernie Ecclestone began the process of taking over the club.
BBC: SPORT | Football | My Club | QPR | Gregory sacked as manager of QPR
The London club - backed by F1 multi-millionaires Bernie Ecclestone and Flavio Briatore - have targeted a return to the Premier League by 2010.
Webber is managed by Flavio Briatore, team boss of Renault, who is thought to be preparing to take the Australian to Renault in 2005.
BBC: SPORT | Motorsport | Formula One | Williams look to Button
And Renault boss Flavio Briatore has warned Mosley to stop dishing out "personal" insults if he wants to see a resolution to the ongoing row.
Along with Renault's suspended ban, former team boss Flavio Briatore was effectively banned for life, while their ex-engineering director Pat Symonds was excluded for five years.
But the mood appeared to change on race day at Silverstone as Mosley arrived by helicopter with F1 supremo Bernie Ecclestone and Renault chief Flavio Briatore.
Weber also denied reports that an agreement had been reached with Renault boss Flavio Briatore "on all major issues" and a finalised contract was a formality.
The incoming new owners at QPR - a group fronted by Formula One magnates Flavio Briatore and Bernie Ecclestone - were keen to appoint an Italian.
QPR's turbulent season has also seen them part company with owner Flavio Briatore, who stepped down as chairman of Queens Park Rangers Holdings on 19 February.
At the time suspicions were roused, in particular by Felipe Massa who is understood to have confronted Renault team principal Flavio Briatore, accusing him of engineering the crash.
And this week the Championship club, owned by Formula One magnates Bernie Ecclestone and Flavio Briatore as well as Indian billionaire Lakshmi Mittal, announced another hike in matchday prices.
It has been claimed that Renault boss, Flavio Briatore, in order to maximize the chances of Fernando Alonso winning the 2008 race, planned the crash of teammate Piquet Jr.
Lakshmi Mittal, the wealthiest person in Britain, has a stake in the west London club, along with Formula One head Bernie Ecclestone and Renault team managing director Flavio Briatore.
As a result, former team boss Flavio Briatore was banned from FIA-sanctioned events for an unlimited period, while ex-engineering director Pat Symonds was excluded from the sport for five years.
CNN: Renault escapes with suspended ban after race-fixing hearing
Magilton will be the Flavio Briatore-led board's fifth manager since they took over in August 2007 (with two caretakers: Mick Harford and Gareth Ainsworth) and QPR's seventh in three-and-a-half years.
Dowie will be under pressure from owners Flavio Briatore and Bernie Ecclestone who stated the importance of QPR returning to the Premier League within the next three years when they took charge in September.
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