The developers of the 600-foot high-rises unveiled a sleek sales office in Gurgaon last week, claiming they racked up $23 million in sales - more than 20 units - in the first day.
One of the developers, Pankaj Bansal, told the Press Trust of India that "Donald Trump Jr. will host" the first 100 buyers in the United States.
Bansal, the director of M3M India, one of the partners on the project, declined to comment for this story. But a spokesperson, Arun Mittal, confirmed Bansal's remarks and added that the specifics of the buyers' trip - where they would be flown and under what circumstances they would meet Trump Jr. - were still being worked out.
"It has been communicated to the media, but the structure and the travel of the stay is still to be planned out," Mittal said. Trump Jr. and the Trump Organization in New York did not respond to emails or telephone calls requesting specifics on their Indian partners' plan.
The launch of the new towers comes amid rising concerns that President Donald Trump's children - including Trump Jr. and Eric, who are running their father's business while he serves as president - are using their names to profit from their father's presidency, and that foreign governments and others may stay in Trump hotels or buy Trump properties in attempts to curry favor or gain special access to the first family.
A study released this week by the watchdog group Citizens for Responsibility and Ethics in Washington (CREW) found that the price of the popular "Ivanka Suite" in the Trump International Hotel in Washington, for example, increased from $914 a night last year to $2,134 a night in 2018.
Norman Eisen, the co-chairman of CREW and a former Obama ethics adviser, called the Indian developers' offer "outrageous."
"They are auctioning off access to the first family in a foreign land. What is to stop a foreign national with interests before the U.S. government from purchasing a flat, or tagging along with someone who did, simply to ask Don Junior to raise some issue or concern with his father?" Eisen said.
The Trump Organization has more business entities in India than any other foreign country, financial filings show, with licensing bringing in estimated payments of between $1.6 million and $11 million total since 2014.
Along with the Trump Towers Delhi NCR (National Capital Region) in Gurgaon, which is expected to be completed in 2023, the projects include two residential towers in Pune, a tower with a glittering gold facade in Mumbai, a planned office tower in Gurgaon and another residential project in Kolkata.
Some of Trump's partners have been the subject of tax or money laundering investigations, and at least three have connections to prominent Indian politicians, a scenario that the Center for American Progress called in a report "a breathtaking array of conflicts."
M3M, for example, was embroiled in a long-running tax investigation that the company said was resolved in its favor. Kalpesh Mehta, the head of Tribeca Developers, the co-partner on this project, was one of three Indian developers who visited Trump shortly after his election in November whose pictures with the president-elect on social media set off a firestorm of controversy.
The luxury real estate market in India is sluggish at the moment, but the Trump Organization says that sales of its more moderately priced units in Kolkata have done well - with the building more than 65 percent sold after a "soft launch" last year.
Last week, employees from Mumbai-based Tribeca Developers gathered outside the new Trump sales office in the Oberoi Gurgaon - a luxury hotel.
They did not allow a reporter to speak to any prospective buyers, who were ushered in one by one to see a model of the two towers emblazoned with the Trump name. The apartment homes in the project - with private elevators and access to a nine-hole golf course - range in price from about $780,000 to $1.6 million.
A man in business attire who was on hand to see a sales presentation asked a sales representative what the "discounts" were.
She laughed and said that sales have been so good that "we're not even thinking about discounts at this point."