President Barack Obama was briefed following the session, the White House said.
Obama's national security adviser, Susan Rice, led the meeting yesterday and then joined Lisa Monaco, Obama's assistant for homeland security and counterterrorism, in briefing the president, the White House said in a statement.
"The president has received frequent briefings over the last week on all aspects of the potential threat and our preparedness measures," according to the statement.
In an interview on Friday with ABC News, Dempsey said officials had determined there was "a significant threat stream" and that the threat was more specific than previous ones. The "intent is to attack Western, not just US interests," he said.
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The global travel warning was the first such alert since an announcement before the 10th anniversary of the terrorist attacks of September 11, 2001.
The State Department's warning urged US travellers to take extra precautions overseas. It cited potential dangers involved with public transportation systems and other prime sites for tourists, and noted that previous attacks have centered on subway and rail networks as well as airplanes and boats.
Travellers were advised to sign up for State Department alerts and register with US consulates in the countries they visit.
The State Department said the potential for terrorism was particularly acute in the Middle East and North Africa, with a possible attack occurring on or coming from the Arabian Peninsula. The diplomatic facilities affected stretch from Mauritania in northwest Africa to Afghanistan.