Ms Marine Le Pen has put on a courageous face following her crushing defeat to Mr Emmanuel Macron in the presidential election, pledging to overhaul her far-right party and turn it into the main opposition to France's new centrist leader.
"A new page of history is starting today".
Martin Quencez of think-tank the German Marshall Fund of the United States warned that in France "the structural issues behind the populist votes are yet to be tackled".
After a resounding victory in Sunday's runoff, Emmanuel Macron will be sworn in as France's next President at the Elysee palace on May 14, outgoing President Francois Hollande said.
President Kiska is looking forward to cooperating with Marcon and deepening what he described as "traditionally excellent and intense" relations between Slovakia and France.
A British spokesman for Prime Minister Theresa May said in a statement that May "warmly congratulates President-elect Macron on his election success".
"I will work to renew the links between Europe and its citizens", vowed Macron, after days earlier he stated that the European Union must be reformed, or face a possible "Frexit", i.e. a French exit.
Michael Roth, Germany's deputy foreign minister, applauded Mr Macron's win but said the result was marred by the fact that 11 million people in France voted for Ms Le Pen.
Certainly, Macron's victory Sunday generated a sigh of relief in France and elsewhere in Europe, but, for many, it is just a temporary setback to the rising power of the far-right across the continent.
"The French have chosen a new president of the republic, and have voted for continuity", she told a rally of voters in eastern Paris.
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French President-elect of the 'En Marche!' (Onwards!) political movement, Emmanuel Macron celebrates on stage after winning the second round of the French presidential elections, giving a second victory speech before 15,000 supporters at the Carrousel du Louvre in Paris, France, 07 May 2017.
With her fighting spirit, the 48-year-old Le Pen, a lawyer turned politician, resembles her father, who wrenched from a court the right to continue as honorary president for life of the party, even though he was expelled.
In March, a set of photographs reproduced in the worldwide press captured two possible futures for France's relationships with Germany and the European Union.
An Ipsos poll found that about 39 per cent of French voters want Ms Le Pen to win a majority in Parliament.
A graduate of elite National School of Administration, which boasts three French presidents among its alumni, Macron worked as a financial inspector at the economy ministry after graduating before joining Rothschild & Cie bank as an investment banker.
"Happy that the French chose a European future", he wrote.
Marine Le Penn says National Front is now the French opposition.
At a projected 35 per cent of the vote, National Front attracted record support and underlined the scale of the divisions that Mr Macron must now try to heal.
The news agency, AFP, reported that prosecutors had launched an investigation.
Mr Hollande announced that the inauguration of his successor will take place on Sunday.