"It's just an unbelievable feeling and it's so great. There are no words to be honest," Hedwall told AFP.
"I was a little mentally tired, but at the same time I was pumped up. I just managed to pull it off."
USA skipper Meg Mallon finished 5-3 in eight Solheim Cups as a player, but will take much of the blame for the embarrassing defeat.
"We really got our butts kicked," said Mallon.
Europe's eight point win was the biggest margin of victory in the history of the women's golf tournament, breaking the old mark of seven points which was achieved twice, by Europe in 2003 in Sweden and the Americans in the first year of event in 1990 in Florida.