Motor accident solicitors claim to be within weeks of agreeing success fee and premium levels with insurers for ATE.
However, insurers said they were less optimistic.
Discussions took place last week between three motor insurers, Zurich, Churchill and Corinthian, and members of the Motor Accident Solicitors Society.
MASS insurance liaison working party chairman Tim Gorman said that he hoped to come to "a working arrangement" with insurers over the level of premium and success fee that could be charged.
He hoped a solution could be reached by the next meeting in September.
Gorman, who is a partner at Gorman Hamilton solicitors, acknowledged that it would impossible to set exact level of the fees and premiums.
However, he "hoped to have a formula that could be used."
