The visit was also marred by a violent coda - an attack on protesters outside the Turkish ambassador's residence in Washington on Tuesday that US officials said was carried out by Erdogan's presidential guards.
The U.S. State Department has also expressed its official concern "in the strongest possible terms".
Erdogan met Trump at the White House on Tuesday, with the two leaders pledging to improve ties between the North Atlantic Treaty Organisation allies - even as Erdogan gave a stern warning about Washington's arming of Kurdish militia in Syria.
Washington police were initially overwhelmed but quickly drafted in reinforcements, quelling the fight and making two arrests, but not before 11 people including a United States officer were hurt. "What we saw yesterday - a violent attack on a peaceful demonstration - is an affront to D.C. values and our rights as Americans", said D.C. Mayor Muriel E. Bowser (D). "The State Department has raised its concerns about these events at the highest levels, and a thorough investigation that will allow us to hold the responsible individuals accountable is of the upmost importance to us".
Police barricaded the perimeter to separate the groups. Trump retained McGurk as the main envoy for the coalition, and has deepened US cooperation with the Syrian Kurdish YPG: earlier this month, Trump signed a measure allowing the U.S.to arm the group directly, despite Turkish protests.
Last year, a similar incident took place during Erdogan's visit to Washington when Erdogan guards beat Turkish journalists who were protesting for their free speech rights.
In Turkey's vigorous but so far faltering attempts to shift USA policy, the government has increasingly taken to blaming disagreements with the Trump administration over Syria on President Barack Obama and, specifically, holdovers from the Obama administration, including McGurk, who has served as envoy to the anti-Islamic State coalition since November 2015.
Ayten Necmi, 49, of Woodside, New York, was charged with aggravated assault, police said, after a woman who was thrown to the ground and kicked identified Necmi as her attacker.
Theresa May, Jeremy Corbyn to face questions on live TV
It is only by dialogue and process we brought about peace in Northern Ireland and I think that's a good thing. "You have to. Mrs May defended her social care reforms and was repeatedly asked if she had changed her mind on Brexit.
In an interview with Turkish NTV channel, Mevlut Cavusoglu said the Trump administration should change McGurk as he openly supports the Kurdistan Workers Party (PKK) affiliated PYD.
"The Turkish-Americans responded in self-defense", the statement read.
Metropolitan Police Chief Peter Newsham told a news conference Wednesday, "We intend to assure that there is accountability for anyone involved in this assault".
"This isn't Turkey. This isn't a third-world country", Sen.
The comment comes as top congressional Republicans are demanding the Trump administration take swift action against the Turkish government after the president's security detail violently broke up a protest earlier in the week outside the Turkish ambassador's residence in Washington.
On May 8, the US chose to arm and equip the YPG inside Syria as it moves to take al-Raqqa city from Islamic State, to deprive it of a key headquarters and its capital.
Turkey sees the YPG (Popular Protection Units) as a terrorist group linked to the PKK, which has been fighting inside Turkey since the 1980s.
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