Macron told Putin he wanted "to congratulate you as the organising country for how well this event has passed off. It has not only been watched around the world, but the whole world has come here" to watch it.
"I am sure we will see an interesting, intense, close match which millions of spectators across the world will enjoy," he said.
Putin met earlier with Croatian President Kolinda Grabar-Kitarovic.
She congratulated him on his hosting of the competition, saying it was an "example of how such an event should be organised".
She presented Putin with a Croatia number-9 football shirt inscribed with his name.
Several other world leaders and sporting and show business stars were due to attend the final.
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