In the Netherlands, the bank ABN Amro said Thursday that it was the subject of a money-laundering investigation by the Dutch public prosecutor’s office. The bank, which did not provide any details, said it would cooperate fully with the inquiry. ABN Amro’s shares fell about 10 percent on the news.

In Tallinn, as many as 50 police officers and volunteers had searched for Mr. Rehe before his body was found Wednesday morning, the authorities said. He had left his home without his cellphone or wallet, and the police considered him a suicide risk. Mr. Rehe’s family had previously searched the area where he was found, said Marianne Ubaleht, senior press officer for the Estonian Police and Border Guard.

The police are not investigating Mr. Rehe’s death further, according to a police statement. Ms. Ubaleht would not comment on how Mr. Rehe had died. The police were still investigating what he had done and where he had gone between Monday and Wednesday, she said.

Mr. Rehe was not considered a suspect in the criminal investigation, a spokeswoman for Estonian prosecutors said. However, he supervised the bank from 2006 to 2015, and from 2007 to 2015 there were “major deficiencies in controls and governance that made it possible to use Danske Bank’s branch in Estonia for criminal activities such as money laundering,” the bank said in a 2017 statement.

Previously, Mr. Rehe was director general of Estonia’s Tax and Customs Board, according to the Postimees newspaper in Tallinn. He later worked for another Estonian lender, Bigbank, but had left in November, Postimees said.

He told the newspaper in an interview in March that he believed Danske Bank’s money-laundering controls had been adequate.

Swedish banks, once considered to be some of the best managed in Europe, have since been swept up in the scandal. In April, the two highest-ranking executives of Swedbank resigned under pressure after Swedish television reported that the bank was under investigation by the New York State Department of Financial Services.