Despite his court victory, former F1 team owner Eddie Jordan called on Mr Mosley to resign.
He has defeated Sugar Shane Mosley, Oscar De La Hoya, Miguel Cotto and Marquez, among others.
After several hours of talks, Mosley appeared upbeat about the prospects of a deal.
In a statement, Mosley apologised for any embarrassment caused to the organisation and its members.
Vijay Mallya, the boss of the Force India team, said he supported Mosley's proposal "totally".
"It has become apparent, long before the current difficulties, that Formula One was unsustainable, " said Mosley.
But Mosley warned that even the major players were beginning to feel the financial squeeze.
Forensic scientists found traces of petrol on the Philpotts' clothing and similar results for Mosley.
BBC: Derby fire deaths: Mick Philpott 'no right-minded father'
The trial of the Philpotts and Mr Mosley, 46, of Cecil Street, Derby, continues on Wednesday.
Mick Philpott, Mairead Philpott and Mr Mosley deny the manslaughter of the children in Derby.
He said he went to police after seeing news reports that Mr Mosley had been charged.
The allegations have led to leading figures in motorsport calling for Mosley to stand down.
Until 19 May, the gallery is showing the carnivalesque paintings of British artist Ryan Mosley.
Our own Karen Grigsby Bates spoke with Mosley about the novel and has this report.
Mr. MOSLEY: In mythology among the slaves, there was a character named High John the Conqueror.
Walter Mosley says this is pivotal to 47's metamorphosis into the hero he will become.
Mosley said Ferrari would have to obey the new rules or leave the sport.
"I'd love to see Lewis win the championship, " Mosley added in an interview with British newspaper journalists.
Mairead Philpott, 32 and Mosley, 46, were told they would each serve half of a 17-year sentence.
Mr Philpott, 56, Mrs Philpott, 31, and Paul Mosley 46, deny manslaughter of the couple's six children.
Mosley reiterated comments he has made in the past about why he got involved in the sport.
One of those proposals includes using a single tyre manufacturer and smaller engines, by 2006, Mosley said.
BBC: SPORT | Motorsport | Formula One | F1 teams back revolution
And although Mosley bravely hung on the Filipino was handed a 119-108, 120-108, 120-107 verdict in Las Vegas.
The Crown Prince of Bahrain wrote to Mosley on Tuesday advising him not to attend this weekend's race.
Mosley, the son of former British Union of Fascists leader Oswald Mosley, has been FIA president since 1993.
Walter Mosley says the science-fiction element in the book gives him the freedom to follow 47 through history.
Mosley uses both science fiction and magical realism to guide the reader through his hero's fight for liberation.
In 2006, Mosley secured a pan-team agreement on a five-year engine development freeze, saving millions in the process.
But, according to Mosley, even those teams who cannot win are vital to the welfare of the sport.
Mr Mosley is president of the International Automobile Federation (FIA), the governing body for sports such as Formula 1.
应用推荐