|Erdogan and Trump playing "cat and mouse" on the phone|
Trump also spoke about the two countries' "shared commitment to combating terrorism in all its forms" and welcomed Turkey's contributions to the fight against Islamic State, the White House said in a statement.
The two leaders emphasized that Turkey and the United States were friends and allies, a statement from Erdogan's office said.
A NATO member which borders Syria, Iraq and Iran, Turkey is a powerful player in the region but Erdogan's relations with former U.S. President Barack Obama, as well as with Western Europe, have at times been strained.
Turkey has been frustrated by what it sees as Washington's reluctance to hand over Turkish cleric Fethullah Gulen, whom it accuses of masterminding an abortive putsch four months ago.
The two NATO allies are also at odds over U.S. support for the Syrian YPG militia, which Ankara regards as a terrorist organization.
There was no specific mention of key sticking points in both readouts.