Turkish President Recep Tayyip Erdogan put US President Donald Trump"s letter "in the bin", the BBC has been told.
In the letter dated 9 October, and sent after US troops were pulled out of Syria, Mr Trump told Mr Erdogan: "Don"t be a tough guy. Don"t be a fool!"
Turkish presidential sources told BBC Turkish that the letter was "thoroughly rejected" by Mr Erdogan.
On the day the letter was received, Turkey launched a cross-border offensive against Kurdish-led forces.