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Less than a week after he said he would not be “doing any more Fox shows for the foreseeable future,” Donald J. Trump is set to appear Tuesday night on the network’s “The O’Reilly Factor,” the network confirmed.

Fox News canceled Mr. Trump’s appearance on “The O’Reilly Factor” last week after Mr. Trump began publicly criticizing the network. Mr. Trump, meanwhile, took to Twitter to declare his boycott

But the kerfuffle — the latest in a public back and forth that began when Mr. Trump said he had been treated unfairly in the Republican debate hosted by Fox — seems to be thawing, again. Last week, the network announced that Mr. Trump and Roger E. Ailes, its chairman and chief executive, were scheduled to meet this week.

The meeting is still on, though a time and date have yet to be announced.