The highly-profile Apple-Samsung patent-infringement scuffle will move to the closing arguments stage on Tuesday, after the presiding judge's efforts to get the warring companies to reach a resolution fell through on Monday, when - after being ordered by the court to talk to each other - the CEOs of the two companies failed to come to any agreement.

US District Court Judge Lucy Koh had, in a last-ditch attempt, asked Apple CEO Tim Cook and Samsung CEO Kwon Oh Hyun to discuss a possible settlement of their patent-infringement case which is almost in the jurors' hands. But, the talks apparently failed to yield any positive results.

Informing the judge that the talks between the two CEO s had come to a naught, and that Apple and Samsung were preparing for closing arguments in their patent trial, the lawyers for the two companies revealed that their CEOs had once again talked to each other over the phone about resolving their differences, but the talks remained unproductive.

Noting that the conversation between the Apple and Samsung CEOs had failed to break the deadlock between the two companies, Samsung's counsel Kevin Johnson told Judge Koh late Monday afternoon: "The CEOs did speak... [but] there was no resolution."

As a result of the failed talks, yet again, the case is scheduled to proceed to closing arguments in the trial on Tuesday; with the jurors also facing an evidently mind-numbing task of assigning damages.