In a large saucepan, bring the wine to a boil. Add the mussels. Cover and cook for about 5 minutes, stirring occasionally, until the mussels have opened. Remove the mussels from the pan and spread them out on a baking sheet. (This allows them to cool quickly and also stops the cooking). Remove and discard any that remain closed. Shell the mussels. Set aside in a bowl. Compost or discard the shells.