It was reported earlier that as part of his probe into possible collusion between Russian Federation and the Trump campaign, Mr Mueller asked Deutsche Bank to share data on accounts held by Mr Trump and his family.
Mueller is investigating Russian attempts to influence the 2016 US election and any possible collusion by Trump associates.
The president's financial records could potentially show whether Trump owes or has received money from suspects connected to Russian Federation.
Statues stand outside a Deutsche Bank AG bank branch in Frankfurt, Germany, on October 20, 2016.
Bloomberg reported early on Tuesday that Deutsche Bank, the German bank that serves as Trump's biggest lender, had been forced to submit documents about its client relationship with the president after Mueller issued the bank with a subpoena for information. They said I own buildings in Russian Federation. Deutsche Bank spokesman Chalie Olivier told Newsweek the bank declined to comment on the matter. "I would say yes".
CNN Congressional Correspondent Manu Raju tweeted that Republicans on the House Intelligence Committee actually blocked the Trump finances subpoena, refusing to order Deutsche Bank to hand over the Trump Organization's financial records.
Trump has done billions of dollars' worth of business with Deutsche Bank in the past 20 years; he has previously said that he would consider Mueller looking into his finances beyond any connection to the Russian Federation investigation "a violation".
Trump had liabilities of at least $130 million to Deutsche Bank Trust Company Americas, a unit of the German bank, according to a federal financial disclosure form released in June by the U.S. Office of Government Ethics.
The Trump family's dealings with Deutsche Bank have been a focus of opponents for months.
Deutsche Bank has paid hundreds of millionsdollars in finesto regulators for its involvement in money laundering and other financial crimes, which the lawmakers cited in their request for details about what the bank knows about its dealings with the Trumps.
In November, several Republicans in the U.S. House of Representatives also introduced a resolution calling on Mueller to resign, saying he never disclosed to Congress the details of a bribery case involving the subsidiary of a Russian company that purchased U.S. uranium mines during his tenure as director of the Federal Bureau of Investigation.
Mueller has already charged two people in the Russian Federation matter with money laundering: former Trump campaign chairman Paul Manafort and his business associate, Rick Gates.