SEOUL, South Korea — South Korea proposed on Tuesday to hold a border meeting with North Korea to discuss bringing finished goods and raw materials from an industrial park that the two countries jointly operated until last month.

The Kaesong Industrial Complex has been idle since North Korea withdrew all its 53,000 workers, accusing the United States and South Korea of plotting to invade the North. South Korea pulled out the last of its citizens from Kaesong on May 3, severing the last economic ties between the Koreas.

Neither the North nor the South has officially closed the eight-year-old complex, the best-known symbol of inter-Korean cooperation. But its fate has become a test for inter-Korean relations.

President Park Geun-hye insisted that South Korea would not reward the North’s bad behavior over Kaesong with compromises. But she said she was open to dialogue with North Korea to “build trust.”