Kazakhstan’s growing importance as an oil supplier and its shortcomings in protecting human rights are key agenda topics of President Nazarbayev’s visit.
But the trip also coincides with a Kazakh government campaign aimed at promoting the country, in the wake of Cohen’s new film starring Borat.
The character originally angered Kazakh officials who felt that people might perceive him as a real representation of their country.
"What he presents is not Kazakhstan as many people know it is a kind of Boratistan," said Kazakh Embassy spokesman Roman Vassilenko.
"It is a country of one. I mean, people in their sane minds would probably know that any real country cannot be like what he describes in his show."
Cohen has since addressed the press in his guise as Borat to respond to the comments.
"There is a man named Roman Vassilenko, who is claiming to be the press secretary of Kazakhstan. Please, don't listen to him: he is a Uzbek impostor, and is currently being hunted by our agents,” he said to the group of chuckling journalists.
"I must further say on behalf of my government that if Uzbekistan do not desist from funding these attacks, then we will not rule out the possibility of military intervention."
"Borat" even went as far as to ask to be let into the White House to visit the president, and personally invite him to a showing of the movie.