Mbappe became the first teenager since Pele in 1958 to score in a World Cup final and the Brazil great tweeted: "If Kylian keeps equalling my records like this I may have to dust my boots off again..."
In neighboring Hungary, premier Viktor Orban said Croatia's success brings glory to the entire region. I can say what I feel at the moment. We are proud to make the Croatian people happy, the people have forgotten about all the problems. "These things were not a burden, they only further motivated me", Modric said.
Mbappe, Portugal's Cristiano Ronaldo and Russia's Denis Cheryshev also scored four goals, but lost out on the assists tiebreaker.
The midfielder scored in the shoot-outs against both Denmark and Russian Federation in the last 16 and quarter-final matches.
There were no questions during a 27-minute news conference with Modric and coach Zlatko Dalic about the criminal case that has clouded Croatian soccer, however.
Modic was phenomenal for Croatia at this year's tournament.
Mamic, 58, reigned over Croatian soccer for decades both on and off the field. Modric, meanwhile, was continuing to probe and harry but as France coach Didier Deschamps had said in the pre-match conference, he can not do it on his own.