It comes weeks after Belgrade and Pristina agreed to resume direct flights for the first time since the Kosovo War.
Kurti, 44, spent two-and-a-half years in jail for his role in the Kosovan independence movement.
"Do your job," said Vučić. "You are sovereign states. Serbia is a sovereign state. We do everything that is for the best for our people and for our country.”
There have been no commercial flights between Kosovo and Serbia in 21 years and it takes over five hours overland from Belgrade to Pristina.
It's been three months since the election and a government has still not been formed.
It's been nearly three months since elections, but the winning parties just cannot come to a deal.
Hashim Thaci was on a visit to the town of Thumanë to express his sympathy and support to the victims of Tuesday's earthquake
After Albania and North Macedonia had their EU accession bid vetoed weeks ago, Western Balkan leaders have met to discuss their own free transit zone.
The election signals a new era for politics in Kosovo, previously dominated by figureheads from the country's late-1990s war.
Themes dominating the poll are rampant corruption, widespread unemployment and sour relations with neighbouring Serbia that it must try to rectify if it wants to pave the way to EU membership.
The Czech president has created controversy after saying he wanted to revoke recognition of Kosovo's independence during a state visit to Serbia
EU warns Serbia to cancel free trade pact with Russia if it wants to join bloc
Aridan Arifaj, deputy Chief of Staff to President of the Republic of Kosovo told Euronews that it was critical that Kosovo's political parties formed a government rapidly after snap elections.
Kosovo MPs voted to dissolve parliament on Thursday, paving the way for a national election after Prime Minister Ramush Haradinaj resigned last month.
Kosovo and Serbia have been told to put their differences aside so that both countries can resume membership talks with the EU.
As the investigation into alleged war crimes committed in Kosovo continues in The Hague, a guerilla fighter turned Prime Minister has resigned but refused to answer questions.
Ramush Haradinaj has resigned due to a new court summons and president Vucic has labelled it a 'political trick' intended to fuel ethnic tensions.
Kosovo's Prime Minister Ramush Haradinaj said on Friday he was resigning after being called to The Hague war crimes court linked to Kosovo's independence struggle.
Kosovo-Serbia dialogue has been stalled since Pristina imposed 100% tariffs on Belgrade after Serbia blocked its bid to join Interpol.
General Wes Clark talked to Euronews about NATO marking 20 years in Kosovo.
Former U.S. President Bill Clinton and ex-Secretary of State Madeleine Albright visit Pristina
Jamie Shea was the public face of Operation Allied Force
It comes just a day after Serbia put its troops on high alert following the arrest of 19 people in an anti-crime operation in restive northern Kosovo, in an area primarily populated by ethnic Serbs.
Tensions rose between Serbia and Kosovo after Kosovo's police said they carried out an anti-smuggling operation in a majority Serb region.
Euronews looks back at one of Europe's most violent conflicts and the tense relations between two nations still at odds.
Serbia puts forces on alert after Kosovo police operation in Serb-populated north