Griezmann has spoken openly about his Ballon d'Or ambitions and reflecting post-ceremony, the forward told reporters: "I am very happy with my year 2018.
"I won the Europa League, I won the Super Cup and the World Cup so it's a great year. A little disappointed [to miss out on the Ballon d'Or] but it was a big night to celebrate the winners so I had to be there."
@AntoGriezmann makes 2018 #ballondor podium, while @LucasHernandez and Thomas Lemar were honoured during the France Football gala.— Atlético de Madrid (@atletienglish) December 3, 2018
When asked if he will ever claim the Ballon d'Or, Griezmann responded: "I think if I keep working the way I am, why not?
"But I'm on the right track, I've claimed two podiums so we have to keep going like this."
Pressed on choosing between the Ballon d'Or and World Cup, Griezmann said: "The World Cup!"
Modric became the first Croatian to win the Ballon d'Or after helping Croatia reach the World Cup final and Madrid secure a third successive Champions League trophy.
"It's earned," Griezmann added. "He had a great season. He won the Champions League."