General Motors and United Auto Workers officials in Lordstown, Ohio, are discussing a buy-out for more workers.
The unprofitable Ohio plant makes small cars.
A local union leader says that GM has presented a plan the company says would restore profitability in Lordstown and help it secure a new product by 2009.
The union leader says that the UAW couldn't accept the first offer but says it will keep talking.
The Lordstown plant now makes the Chevrolet Cobalt and other products.
It now employs about 43-hundred people, down from a peak of 12-thousand.