Athens made a statement that he was refused entry when he tried to cross the border and enter the Greek town of Kastanies. "Stuck at the border or not; it is not our problem".
He has been named by Turkey's Demiroren News Agency as Muhammed Darwis B and is said to be a United States citizen of Jordanian descent.
On Monday, Greek police said that Turkish police came to the border post at the Greek town of Kasanies and requested that one of the detainees, a US citizen of Arab descent, be admitted to Greece as he had been arrested for exceeding his stay in Turkey. After a series of meetings, the president told reporters during an East Room press conference that he hopes to broker an agreement with Turkey that would significantly expand trade between the two countries.
The fate of foreign IS fighters has been a key question since the defeat of the group in territory it controlled in Syria and Iraq.
Turkey has so far deported 7,500 Daesh/ISIS members, President Recep Tayyip Erdogan said last week.
Operations against the terror group continue at home and overseas. Of those, 19 have returned - 15 men and four women - and 13 have been charged. It is unclear why Greece would take responsibility for the United States citizen.
There can be few more graphic illustrations than this of the unfinished business left over from the US-led Coalition's military campaign to defeat IS.
But several European countries have resisted Turkey's efforts to send Daesh/ISIS members back to their countries.
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Who else has Turkey deported?Turkey also plans to soon deport two Irish and 11 French nationals. The 28-year-old Dane citizen had been arrested on his arrival in Copenhagen, while the German ex-fighter had been also expelled.
'It's one of the expected things that may happen in the future, ' he added. "As of last night, they have confirmed that they will take back terrorists from Daesh (Islamic State) who are citizens of their countries and their wives, children and all the others", he said.
Turkey's president is claiming the Trump administration failed to keep its promise to remove Kurdish YPG militia from the border between Syria and Turkey.
Relatives of suspected IS militants were also being held at a number of camps for displaced people - the largest of which, al-Hol, housed nearly 70,000 people.
Five Republican senators, including vocal Turkey critic Lindsey Graham, came to the White House and spoke with Erdogan and Trump about the F-35 programme. More than a dozen people, including Washington, D.C., police officers, were injured. "They take him or not; not our business", he said.
Mr Taylor said a member of his staff told him last Friday after he had already testified behind closed doors, that he overheard Mr Sondland's 26 July phone call with Mr Trump and then asked Mr Sondland about Mr Trump's thoughts about Ukraine, which prompted Mr Sondland's remarks.
Some in Congress have denounced President Recep Tayyip Erdogan (REH'-jehp TY'-ihp UR'-doh-wahn) for what they say are his repressive tactics at home and they say he should never have been invited to the White House. "The news is not published, or released much later", the source said.
A Dutch court in The Hague ruled on Monday that the Netherlands must help repatriate children of women who joined IS, but the mothers do not need to be accepted back.