WASHINGTON — President-elect Donald J. Trump met in the last week in his office at Trump Tower with three Indian business partners who are building a Trump-branded luxury apartment complex south of Mumbai, raising new questions about how he will separate his business dealings from the work of the government once he is in the White House.

A spokeswoman for Mr. Trump described the meeting as a courtesy call by the three Indian real estate executives, who flew from India to congratulate Mr. Trump on his election victory. In a picture posted on Twitter, all four men are smiling and giving a thumbs-up.

“It was not a formal meeting of any kind,” Breanna Butler, a spokeswoman for the Trump Organization, said when asked about the meeting on Saturday.

One of the businessmen, Sagar Chordia, posted photographs on Facebook on Wednesday showing that he also met with Ivanka Trump and Eric Trump. Mr. Trump’s children are helping to run his businesses as they play a part in the presidential transition.