Judy Woodruff:

The president also said he will walk away if the summit in Singapore doesn't go well. But if it does, he said, he would certainly invite Kim to visit the United States. Today's meeting came before the U.S., Japan and other Group of Seven nations gather in Quebec, Canada, this weekend. We will have a preview of that meeting after the news summary.

In Afghanistan, President Ashraf Ghani announced a week-long cease-fire with the Taliban. It coincides with the holiday marking the end of the Islamic holy month of Ramadan. It also follows a string of attacks by Taliban and Islamic State militants. The cease-fire applies only to the Taliban.

In Iraq's capital, Baghdad, at least 18 people died overnight, when a weapons depot exploded inside a Shiite mosque. The blast also wounded 38 people. Iraqi officials launched an investigation into illegal stockpiling of weapons by Shiite militias.

Meanwhile, Iraqi officials launched a recount in last month's election amid complaints of rampant fraud.

NATO defense ministers rolled out new military plans today to deter Russian aggression. Defense ministers from the alliance met in Brussels and agreed to a system of rapid-fire reinforcements across Europe. It's to be ready by 2020.

Meanwhile, during a call-in show in Moscow, Russia's President Vladimir Putin argued that his country is no threat to the West.