Mr. Kobani’s power came from the S.D.F.’s partnership with an international coalition led by the United States to fight the Islamic State. As the jihadists were pushed back, his forces seized more territory, which a contingent of about 1,000 American troops helped them control.

That partnership angered Turkey, an American ally in NATO, because Mr. Kobani’s fighters had links to a Kurdish guerrilla movement that has been fighting the Turkish state for decades. Mr. Erdogan had long threatened to push Kurdish forces away from the border, saying it was necessary for Turkey’s security.

Mr. Trump’s decision to pull United States troops out of the way of a Turkish advance and to begin withdrawing them from Syria deprived Mr. Kobani of his strongest backer and left him scrambling to reach new accommodations with the region’s other powers. This has put him in touch with a surprising number of powerful people for a man who heads a relatively unknown militia in an obscure corner of Syria.

Since the violence started, he has met with senior aides to President al-Assad of Syria, whom the United States considers a war criminal; spoken with top brass from the Russian military, which backs Mr. al-Assad; and had phone calls with prominent Americans like Senator Lindsey Graham of South Carolina, who opposes Mr. Trump’s decision to pull out of Syria. On Saturday he talked to Mr. Pence, and he spoke with Mr. Trump last week.

“The issues are very complicated,” Mr. Kobani said. “I meet with everyone, and I will make any decision that is in our people’s interest.”

On Sunday, he said he had been invited to visit Washington but declined to say by whom or when he might go.

“The issue is serious,” he said. “But everything in its time.”

The timing and scale of the United States withdrawal from Syria remains unclear. Mr. Trump may leave only a contingent of 150 troops at an isolated base in the south, or he may leave those plus some others in the east.