Others continued waving Croatian flags and scarves through the disappointment after watching their country play in the World Cup final for the first time.
The Brazil legend tweeted his congratulations to Mbappe after the PSG star became just the second teenager to score in a final.
"We are a bit sad but also proud of what we have done".
That added up to 360 minutes of football in the knockout stages before reaching the final, the equivalent of a full game more than France.
Croatia can cause a massive upset, but France are favourites as Moscow basked in sweltering summer sun and the world's spotlight on the big day of the World Cup final.
"Of course, we are downcast, but I told them "hold your heads up high".
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"I have to congratulate my players for maybe the best game we played here [at the World Cup]".
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Marc, 32, and his wife and four-year-old son were among those who went to the fanzone, which is walking distance to the Champs Elysees avenue where all national triumphs are celebrated.
"We will realize what has happened tomorrow", he said after his players stormed the news conference twice to douse him with champagne.
"The collective is always important but there are individual players who have made the difference", he said, naming Mbappe and man-of-the-match Antoine Griezmann.
Deschamps has continued to heap praises on his players, especially after his team defeated Belgium in the keenly contested semi-finals match earlier in the week.
Speaking on beIN Sports, he said of Pogba: "His game management is very, very poor. the boy needs help!" "I learned a lot from that defeat", he said.