The request came at a meeting of Cup contenders Thursday called by Alinghi at its home yacht club in Geneva.
Preparations for the 33rd America's Cup have been stalled for more than a year by legal problems.
The BMW Oracle team based in San Francisco believes Alinghi has acted unfairly in the way it has drawn up rules for the next cup races.
The team is waiting on an appeal ruling from a New York court.
Swiss-owned Alinghi has invited teams from across the world to help it plan for an America's Cup in 2010. On Thursday they united to ask BMW Oracle to join them.