The world champions from the very beginning of the fight created attacks in the opponent's half of the field, but Hungarians played with dignity and did not allow opponents to win. And at the end of the first half, the Hungarians took the lead after a counterattack, which Fiola completed with an accurate low kick.
The French in the second half were able to recoup after an accurate shot from Griezmann from the center of the penalty area, but the world champions did not have enough strengnh for more.
In the second match of group F today Portugal will play with Germany.
June 19, 16:00
Budapest, Puskas Arena
European Championship, round 2
Hungary - France 1: 1
Goal: Fiola, 45 - Griezmann, 66
Earlier England and Scotland played to a 0-0 draw at the European Championship.
Both team had chances to score at Wembley Stadium. England defender John Stones hit the post with a header in the 11th minute. Scotland forward Lyndon Dykes then had a shot cleared off the line by Reece James in the 63rd.
England has four points in Group D while Scotland has one. Both can still advance to the round of 16.
Gareth Southgate said he accepts any criticism for his side's frustrating draw with oldest rivals Scotland, but urged fans to get behind his players.