Tim Cook and his Korean counterpart Gee-Sung Choi will hold a meeting within the next 90 days in a bid to end the year-long feud.
The legal row kicked off last year when Apple sued Samsung in nine countries, claiming that its Galaxy range infringed on its iPhone and iPad patents. Samsung responded by counter-suing its rival for similar violations and the battle soon spiralled out of control.
The increasingly bitter dispute went on to span more than 20 different legal cases in ten countries. A California judge has now set up discussion between the firms in a bid to end the war once and for all with an out-of-court settlement.
A joint statement from Apple and Samsung read: "As directed by the Court, Apple and Samsung are both willing to participate in a Magistrate Judge Settlement Conference with Judge Spero as mediator. At Apple, the chief executive officer and general counsel are the appropriate decision-makers, and they will represent Apple during the upcoming settlement discussions.
"At Samsung, the chief executive officer and general counsel are also the appropriate decision-makers, and they will represent Samsung during these settlement discussions."
Last month, a German court threw out a case between the two firms involving the "slide-to-unlock" patent. Apple refused to comment on the judge's decision, but stood by its earlier claims that Samsung is guilty of "blatant copying".
Former Apple CEO John Sculley previously singled out Samsung's Galaxy line as the only threat to the iPad's market dominance.