The Venezuelan Minister of Foreign Affairs Jorge Arreaza has summoned the ambassadors of the countries that took part in a meeting in Lima.
The overture signaled a different approach for the defiant Maduro, who has delighted in publicly attacking the US -and Trump in particular-for supposedly instigating protests against the regime.
He told the newly elected constituent assembly that he wanted "a personal conversation" when the two leaders attended the UN General Assembly in NY next month.
"If he (Trump) is so interested in Venezuela، here I am".
The White House did not respond to a request for comment on the letter, which was addressed to President Donald Trump.
The measures freeze any USA assets of those designated and bar Americans from doing business with them.
But Maduro struck a defiant stance against what he called America's "imperialist aggression", accusing Washington of being involved in an attack on an army base last weekend by uniformed rebels led by two renegade Venezuelan officers.
The remarks came shortly after Maduro forcefully warned the U.S. president that Venezuela "will never give in".
In his Thursday speech at the Constituent Assembly، Maduro "subordinated" himself to the supreme body، recognizing it as Venezuela's most powerful legal institution.
The 545 elected members, all Maduro supporters, will draft a new Constitution.
The assembly's first action was to fire Venezuela's chief prosecutor, who had accused Maduro of human rights abuses, confirming opposition fears that the assembly would purge the government of dissenting voices.
Protests have lost steam in the past week as security forces have stepped up repression and demonstrators have grown discouraged by the opposition's failure to bring about change.
Met by rubber bullets, water cannon and tear gas fired by the National Guard, the protesters say the crisis demands an early presidential election that they are sure Maduro would lose. The elections are now scheduled for December, though a new, all-powerful constitutional assembly could still cancel the vote.
After the Treasury Department announced direct sanctions on Maduro last week, he poked fun at Trump for becoming president through the electoral college but losing the popular vote in the November election. Since its installation Friday, the assembly has already ousted the nation's outspoken chief prosecutor, established a "truth commission" expected to target Maduro's foes and passed decrees pledging "support and solidarity" with the unpopular president.