Eyes are on Turkey's President Recep Tayyip Erdogan, seen here...

Eyes are on Turkey's President Recep Tayyip Erdogan, seen here in Ankara on Nov. 21, 2017. Credit: AP / Burhan Ozbilici

President Donald Trump’s shows of political coziness with Turkish President Recep Tayyp Erdogan always add an extra layer of intrigue to foreign-policy news.

On Friday, the two leaders were due to speak by phone, with Trump at his Mar-a-Lago resort for the long holiday weekend. Subjects were to include Syria and conflicts in the region.

Turkey’s foreign minister, who said he was with Erdogan during the call, said afterward that Trump gave assurances his administration would stop supplying arms to Syrian Kurdish fighters, who have been U.S. allies.

After all, Kurdish separatists are a thorn in Erdogan’s side.

Such policy choices aside, the discussion of Turkish ties to Washington turns quickly and naturally to Trump’s short-tenured national security adviser Michael Flynn.

Special counsel Robert Mueller has his eyes on the retired lieutenant general, who failed to disclose a payment of $530,000 from Inovo BV, a Dutch consulting firm owned by a Turkish businessman closely tied to Erdogan.

Flynn’s lawyer said back in March that the work for the firm “could be construed to have principally benefited the Republic of Turkey,” which is why he belatedly filed it under the Foreign Agents Registration Act.

Flynn has been a campaign and White House adviser with close links to a president who rode to election proclaiming “America First.”

Late Thursday, it was reported that Flynn’s lawyer informed Trump’s legal team that he can no longer discuss the Mueller probe with him. That stirred speculation about Flynn’s cooperation with investigators and where it could lead.

This comes after reports that Erdogan’s men may have discussed with Flynn last year a paid mission that involved grabbing a Muslim cleric living in Pennsylvania — whom Erdogan blames for a coup attempt — and returning him to Turkey.

The intrigue seems to leach further into the American justice system than just the probe of Flynn.

There is also the long-lived case of Reza Zarrab — the Turkish-Iranian gold trader charged in Manhattan federal court with conspiring to evade U.S. sanctions on Iran.

Erdogan calls the case a plot against his republic. Over the weekend he purportedly launched an investigation of his own into former U.S. Attorney Preet Bharara, who brought the case against Zarrab, an ally of Erdogan.

Bharara was fired by Trump after the president asked him to stay in the job. Responding to Erdogan, Bharara’s interim successor Joon Kim and Judge Richard Berman issued a rare reply to the Turkish government.

On Tuesday, Kim said: “Needless to say, it’s our view that those claims are ridiculous on their face. It displays a fundamental misunderstanding or lack of understanding of how our system of justice works and, frankly, the rule of law works.”

Diplomatically, Berman said that if Turkish officials wish to help Zarrab, they could do so by “producing in court any Turkish evidence or witnesses that they may be aware of who could assist the defense in presenting their case.”

Trump doesn’t seem inclined to complain about the Erdogan regime’s conduct in this or any other controversy.

In fact, on the defense side of the case, the president finds two political allies — Rudy Giuliani, the former mayor, and Michael Mukasey, the former attorney general.

By most accounts their job has been to try to get the case resolved through meetings away from courtroom arguments. Recent buzz has been about the prospect of a cooperation deal, but the matter is still apparently pending.

These are the shadowy complications of the moment in Turkish-American politics.

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