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.
Formula One Teams association vice President John Howett says they'd like someone independent from any of them which 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 - have been in Bologna 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 yesterday 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.