This after two Turkish men were arrested earlier Wednesday in connection to the incident, and charged with aggravated assault.
"Now that charges have been filed, the Department will weigh additional actions for the named individuals, as appropriate under relevant laws and regulations".
Turkey has criticized the USA for arming members of the Kurdish People's Protection Units (YPG) in its fight against Islamic State in Syria.
Holman told the judge that Yildirim has received death threats because of the case.
Yildirim is in custody in New Jersey.
The new warrants come after four other pro-Erdoğan protesters were arrested over the past month, and a congressional resolution condemning the attacks.
Holman declined to comment to a reporter, as is office policy. We host millions of people to peacefully protest.
Turkey summoned the US Ambassador in Ankara, John Bass, to the Foreign Ministry on Thursday after American authorities issued arrest warrants for President Recep Tayyip Erdogan's bodyguards, the ministry said in a statement. Erdogan's government was similarly defiant following another incident past year, when Turkish security clashed with protesters outside of the Brookings Institution, where the Turkish president was speaking. Moments after one of Erdogan's bodyguards briefly spoke to someone in the auto, multiple members of the bodyguard team charged across the street, brushed past overwhelmed police officers and began punching, kicking and choking protesters.
Washington Police Chief Peter Newsham said the 12 were identified in detailed video footage of the May 16 attack on Kurdish and Armenian protesters outside the residence of Turkey's ambassador, following a meeting between Erdogan and President Donald Trump.
Video of the startling violence, widely circulated on social media, showed security guards pummeling a group of protesters with fists and feet. Another wrenched a woman's neck and threw her to the ground. Yildirim appears to be kicking a protester repeatedly in videos from that day.Both men have been arrested.
After police officers struggled to protect the protesters and ordered the attackers to retreat, several suspects dodged the officers and continued the attacks. Eleven people were injured and nine were hospitalized, as Erdogan watched from his Mercedes-Benz.
The brawl inflamed existing tensions between the two North Atlantic Treaty Organisation allies.
The Turkish envoy said the protesters were "affiliated with the PKK (Kurdistan Workers Party)" and had assembled without permission.
Some Turkish security officials were briefly detained at the time by USA law enforcement for their role in the brawl, but they were released on the scene because "customary worldwide law affords heads of state and members of their entourage with inviolability from arrest and detention", a State Department official told ABC News at the time.
Turkey will respond to problems at their source, whenever it is necessary, President Recep Tayyip Erdoğan said Thursday.
Turkey's USA embassy alleged the demonstrators were associated with the PKK, which has waged a three-decade-long insurgency against Turkey and is considered a terrorist group by the United States.
A police spokeswoman said the two are residents of Canada but it is not yet known whether they have Canadian citizenship.