Here are some of the stories we are covering from around the world:

Putin Makes Cease-Fire Offer With Sweeping Demands on Ukraine’s Territory

Vladimir Putin said Russia would be ready to order a cease-fire in Ukraine and enter negotiations with its government if Kyiv withdrew troops from four regions that Moscow has claimed and dropped its NATO aspirations. Ukraine quickly rejected the idea.

G7 Leaders, Expanding the Circle, Shift Focus to Migration and the South

G7 Leaders will share the stage with leaders from India, Brazil, Turkey and other non-Western countries, showcasing a shifting global landscape on the second day of their summit meeting.

Doping Regulator Knew of Previous Positive Tests by Chinese Swimmers

After the revelation in April that 23 Chinese swimmers had tested positive for a banned substance months before competing the Tokyo Olympics, China and WADA vigorously defended their actions. But it turns out there were other, earlier positive tests, too.

@nytimes