"We believe there is no problem that cannot be resolved in Turkey-US relations," Erdogan added after holding his first meeting with Biden since his election.
Relations between the two NATO allies nosedived after Turkey's purchase of a Russian S-400 missile defense system that the US believes can be used to spy on Western defenses.
According to Reuters Erdogan announced no progress on the S-400 dispute. Washington imposed sanctions on Turkey's military procurement agency for the purchase last year.
It also expelled Turkey from the F-35 program under which Western allies produce the next-generation fighter jet's parts and secure its early purchasing rights.
"On the issue of S-400s, I told (Biden) the same thing I had in the past," Erdogan said.
"I raised the issue of F-35s," Erdogan said in a signal that he wanted Turkey admitted back into the program.
"I told him what joint steps we can take on the defense industry."
Biden has also made a point of highlighting Turkey's deteriorating record on human rights -- an issue that was largely overlooked by his predecessor Donald Trump.
He took three full months after his swearing-in ceremony before placing his first call to Erdogan.
That was to inform him that Washington was recognizing the Armenian genocide by the Ottoman Empire during World War I.
Erdogan raised the possibility ahead of the meeting that the two sides could cooperate on Turkey's possible role securing the international airport in Kabul after the US completes its troop withdrawal from Afghanistan.
Turkish officials had said they would want financial assistance in exchange for a military presence in Kabul.
Erdogan announced no firm deal on the airport but said Turkish forces might work jointly in Afghanistan with those of Pakistan and NATO member Hungary.
"If Turkey is not asked to leave Afghanistan, the US support on the diplomatic, logistical and financial front is very important," he said.
Erdogan also held separate meetings with French President Emmanuel Macron and Greek Prime Minister Kyriakos Mitsotakis -- two leaders with whom he has sparred repeatedly in the past year.
Turkey and Greece have been feuding over migrants and Ankara's push into disputed eastern Mediterranean waters near the divided island of Cyprus in search of natural gas reserves.
Erdogan said he told Mitsotakis that the two neighbors should resolve their disputes directly and without the involvement of "third parties."
Greece has been backed in its claims by France and the European Union. Turkey's candidacy to join the bloc has been effectively frozen for much of the past decade.
"If there's a problematic situation, you can easily call me from the direct line, and I can do the same," Erdogan said in comments addressed to the Greek premier.
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