Report - Fota compromise with FIA
Formula 1 teams want to find a neutral figure to govern the sport when Max Mosley's reign as the president of governing body the FIA ends in October.
Mosley agreed not to stand for re-election as part of a peace deal to end the threat of a breakaway championship.
"We would like someone independent from any of us," said John Howett, the vice-president of teams' association Fota, which had planned a rival series.
"Either currently or historically. It would mean a much better balance."
Representatives of Fota's eight members - all the current F1 teams on the grid with the exception of Force India and Williams - were assembled in Bologna on Thursday to discuss the future of the sport.
However, the tone of the meeting was much more positive after Mosley struck a resolution with Fota at a World Motorsport Council meeting on Wednesday to put an end to their ongoing dispute.
As part of the deal, the 69-year-old agreed not to seek to extend his 16-year tenure as FIA president by standing for a fifth term in October.
The teams, who oppose what they see as Mosley's arbitrary style of governance, will play no part in deciding his successor.
That responsibility falls to the World Motorsport Council, who will elect a candidate of their choosing.
Michel Boeri, president of the Automobile Club de Monaco, former Ferrari team principal Jean Todt, former rally driver Ari Vatanen and chief steward Alan Donnelley, who is also Mosley's representative, have all been mentioned in connection with the role.
The agreement between the FIA and Fota also saw Mosley's controversial plan to introduce a £40m budget cap for 2010 shelved.
Instead, the teams will work to their own agreed cost-cutting measures with a view to reducing spending to early 1990s' levels.
"Already the savings have resulted in 15-25% saved and we will see further savings in the next few seasons," said Red Bull boss Christian Horner.
A new deal to settle teams' share of commercial rights has yet to be signed with holder CVC, represented by Bernie Ecclestone, but Flavio Briatore has already been given the task of overseeing the commercial development of the sport.
The Renault team principal wants to improve the spectacle of F1 and push for a return to its traditional circuits.
"Even if the likes of Turkey are paying more money, we would rather have stadia that are full," Briatore said.
"It is better for the spirit of the sport. We want stands full of fans. There is no point spending all that money on an empty cathedral.
"We want to work for a better show, better entertainment."