Kushner's status as a top adviser to the president and his access to sensitive intelligence raised questions a year ago when it emerged that he had to amend his security clearance form several times, at one point to add more than 100 names to a list of his foreign contacts, since first applying.
Videgaray lost his job as finance minister over the trip's fallout, but was later appointed foreign minister after Trump's surprise win in the US presidential election.
Kushner, who is Trump's son-in-law, and the other US officials also attended an earlier separate meeting with Videgaray.
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The influence of U.S. Ambassador Roberta Jacobson was reduced as a outcome and some analysts say that it was likely a factor in her resignation announcement last week.
Several White House staffers have been terminated or reassigned for issues related to their security clearances - with at least one individual employed in the Office of the First Lady relieved of duty, sources with direct knowledge tell ABC News.
Despite Trump's sharp criticism of Mexico and its migrants, Videgaray said last month during a meeting with U.S. Secretary of State Rex Tillerson that ties between the two countries were closer than during the previous U.S. administration.
Last month, Nieto called off a planned trip to the White House to meet with Trump after Trump again pressed during a phone call that Mexico pay for the wall.
Tensions have been high for months between Nieto and Trump, largely due to Trump's repeated insistence that Mexico will pay for a wall on the U.S. -Mexico border - a prospect that Nieto has repeatedly rejected.