The investigation has been stalled since last fall, after the president filed a lawsuit to block a subpoena for his tax returns and other financial records.
The legal fight is before the United States Supreme Court for a second time, with a ruling expected soon. Prosecutors have suggested in court filings that their investigation has expanded far beyond the hush money and is focused on a number of potential financial crimes, including insurance and bank-related fraud, tax evasion and grand larceny.
Mr. Trump has said the investigation is part of “the greatest witch hunt in history.” Both Mr. Vance and Ms. James are Democrats.
Ms. James’s civil investigation is focused on the Trump Organization’s business practices, though she can make a criminal referral and can seek authority from Gov. Andrew M. Cuomo’s administration or the state comptroller to bring charges on her own.
Her inquiry began last year in March, after Michael D. Cohen, the president’s former lawyer, told Congress that Mr. Trump had inflated his assets in financial statements to secure bank loans and understated them elsewhere to reduce his tax bill. In August, the attorney general’s office asked a judge to force the president’s son Eric Trump to testify in the inquiry, and he did so last month. Eric Trump is an executive vice president at the Trump Organization, running its day-to-day operations.
Investigators in Ms. James’s office have scrutinized a widening array of transactions. One of them is a 2010 financial restructuring of the Trump Hotel & Tower in Chicago, when the Fortress Credit Corporation forgave debt worth more than $100 million. The attorney general’s office said in court documents filed in August that the Trump Organization had thwarted efforts to determine how that money was reflected in its tax filings, and whether it was declared as income, as the law requires in most instances.
The Times’s analysis of Mr. Trump’s financial records found that he had avoided federal income tax on almost all of the forgiven debt.