Most of the contributions were possible because of exceptions written into the foundation’s 2008 agreement, which included limits on foreign-government donations.

The agreement, reached before Clinton’s nomination amid concerns that countries could use foundation donations to gain favor with a Clinton-led State Department, allowed governments that had previously donated money to continue making contributions at similar levels.

The new disclosures, provided in response to questions from The Washington Post, make clear that the 2008 agreement did not prohibit foreign countries with interests before the U.S. government from giving money to the charity closely linked to the secretary of state.

In one instance, foundation officials acknowledged they should have sought approval in 2010 from the State Department ethics office, as required by the agreement for new government donors, before accepting a $500,000 donation from the Algerian government.