Erdogan and Trump have a difficult agenda Wednesday that includes Turkey's decision to buy a Russian air defense system and its attack on U.S.-allied Kurdish forces in northern Syria.
A car bomb exploded in a northern Syrian town along the border with Turkey on Saturday killing 13 people, Turkey's Defense Ministry said.
Turkey and Russia launched joint patrols Friday in northeastern Syria, under a deal that halted a Turkish offensive against Syrian Kurdish fighters.
Turkey on Wednesday condemned two resolutions passed by the U.S. House of Representatives that symbolize deteriorating Turkish-American relations.
The presidents of Turkey and Russia met in the Black Sea resort town of Sochi on Tuesday, hours before a five-day cease-fire between Turkish troops and Kurdish fighters.
Turkey's invasion of northern Syria is close to sparking a crisis at the world's biggest military alliance. But NATO has seen tense times before.
Turkey is already lashing out at the EU for criticisms of its nascent Syria offensive and has threatened to turn its 3.6 million Syrian refugees loose on Europe.
The United States appears to be heading toward a full military withdrawal from Syria amid growing chaos, cries of betrayal and signs that Turkey's invasion could fuel a broader war.
Turkish forces pushed deeper into northeastern Syria on Friday, the third day of Ankara's cross-border offensive against Syrian Kurdish fighters.
Turkish ground forces seized at least one village from Kurdish fighters in northern Syria as they pressed ahead with their assault Thursday.