Justice Secretary Kenny MacAskill looks set to meet lawyers next week to discuss the row over proposed changes to the criminal legal aid system.
Mr MacAskill said he wants to keep the dialogue channels open after strike action which he said was "in nobody's interests".
On Tuesday, defence solicitors withdrew their labour from the custody courts for the day at Edinburgh, Glasgow and Paisley sheriff courts.
Lawyers are worried about proposals contained in the Scottish Civil Justice Council and Criminal Legal Assistance Bill where accused people with a disposable income of £68 a week or more would contribute to the cost of their defence in summary cases. They are also concerned about moves for solicitors to collect the money themselves, instead of the Scottish Legal Aid Board.
The Justice Secretary said there had been instances where clients appeared in court unrepresented during the strike action, despite the availability of duty solicitors and public defence solicitors.
Mr MacAskill said: "This Government is concerned that this strike action has arisen while our proposals on criminal legal aid contributions are still under discussion. In recent discussion with the Law Society of Scotland, I offered to meet with Bar Associations to discuss and explain the current issues around criminal legal aid contributions and I am hopeful such a meeting can take place shortly.
"While the Law Society is traditionally the negotiating body for the profession, I want to ensure that there is also the opportunity to have face-to-face conversations with the Bar Associations themselves about the reasons for the Bill, why we are having to make these changes, and the Bill's progression through Parliament. The strike action that has so far occurred is in nobody's interests."
Following a meeting between representatives from law faculties and Bar Associations, the Law Society of Scotland reiterated its position that the planned changes were "regressive, unworkable and unfair" but said the requested discussions with Mr MacAskill would happen.
The body said the £68 threshold would mean people were forced to pay towards the costs of their defence "when they simply cannot afford to so". It said the proposed system, which would see solicitors collecting in summary cases, was "impractical" and the Scottish Legal Aid Board was the body best equipped to collect contributions in all summary and solemn cases. The society also suggested that, in many cases, those who plead not guilty would have to pay a greater contribution than they would with a guilty plea, "leading to a perverse incentive for those who cannot afford to pay the higher cost".
A statement said: "The Law Society has now agreed to organise a meeting between the faculties and the Cabinet Secretary for Justice so these concerns can be discussed in detail. The meeting is likely to take place early next week."