In dialectic (jadal), common or conceded premises genuinely possess their relevant standing. One may seek to bind an opponent by what the opponent has granted or defend a position within a debate.
In sophistry, a false claim can be presented as if it were common or conceded. The distinction is not the existence of disagreement but whether the premise really has the standing claimed for it.
Drawing valid consequences from an actual concession may be dialectical; falsely expanding what the opponent conceded is deceptive.