Erdogan's talks with Serbian President Aleksandar Vucic focused on trade and investment, but also covered political relations in the region, where many countries have historic and religious links with Turkey from centuries of Ottoman rule.
The Turkish Embassy in Washington retaliated immediately by issuing a similar statement that mirrored the one by the US.
The dispute blew up last week when Turkey arrested a Turkish employee of the American consulate on suspicion of links to the group blamed for last year's failed coup. Bass is due to leave Turkey later this week for a new assignment in Afghanistan. The U.S. Embassy said it was "deeply disturbed" by the arrest. "In order to minimise the number of visitors to our embassy and consulates while this assessment proceeds, effective immediately we have suspended all non-immigrant visa services at all USA diplomatic facilities in Turkey".
The Turkish restrictions appeared to go further than a move by the USA to suspend the processing of "non-immigrant" visas, a specific category that relates to tourism, medical treatment, business, temporary work or study.
U.S. -Turkish tensions have risen over U.S. military support for Kurdish YPG fighters in Syria, considered by Ankara to be an extension of the banned PKK, which has waged an insurgency for three decades in southeast Turkey. -Turkish tensions have risen over USA military support for Kurdish YPG fighters in Syria, considered by Ankara to be an extension of the banned PKK, which has waged an insurgency for three decades in southeast Turkey.More news: Colin Kaepernick Says He'll Stand During National Anthem on One Condition
An infamous brawl during Turkish President Recep Tayyip Erdogan's visit to DC in May led to an indictment charging 19 people, including 15 Turkish security officials, of conspiracy to commit a crime of violence.
"We hope that relations between two allies will return to normal in a short time", he said in the Turkish capital.
USA pastor Andrew Brunson, who has lived in Turkey for over 20 years, has also been behind bars for a year for alleged links to Gulen.
Turkish President Recep Tayyip Erdogan has said that Turkey is trying to take any measures to release the Crimean Tatars imprisoned by Russian Federation in Crimean territory.