The Atletico Madrid forward was pictured after the game clearly failing to comprehend what had just transpired and wearing a look of utter bemusement, a strange smile vaguely evident.
"It's cruel and magnificent at the same time," Griezmann said after the final. "We've lived through some extraordinary moments, and the saddest moments as well. We have to learn."
Many were tipping France to emulate the classes of 1984 and 1998 who won major tournaments on home soil but after 120 minutes of action it was Portugal who emerged victorious.
"Tonight we gave it all and we have no regrets. I'm proud of the squad, proud of everybody. Now we have to come back stronger.
"This time we didn't manage it, unlike against Germany. It is a pity.
"We hit the post, I had chances as well and I almost scored. The goalkeeper played well, too. It's frustrating, but we must come back stronger."
Despite the professional tragedy of defeat, Griezmann also experience personal triumph in the shape of the competition's Golden Boot.
"Maybe later I can feel proud, but for now, it's about the group," he said. "I'm very disappointed for my teammates. I really wanted to offer them this trophy, but I couldn't score and I'm disappointed."