French sports minister Amelie Oudea-Castera told French radio that the mass gathering of British supporters without tickets was the first thing that happened.
There will be people trying to force their way in through the doors of the stadium when there are so many people around.
The match had to be delayed by 35 minutes after police tried to prevent people without tickets from entering the stadium.
French interior minister Gerald Darmanin said more than 100 people were arrested after the crowd trouble.
There were 29 arrests around and inside the stadium, of which half were British citizens, and a further 77 arrests in the surrounding area, not involving British.
French authorities were caught off-guard by local delinquents who showed up to cause trouble at the match, and they had taken steps to prepare for the risk.
British Prime Minister Boris Johnson was hugely disappointed by the treatment of the fans at the match, his spokesman said on Monday.
The footage from the Stade de France this weekend was upsetting. The spokesman said that they were hugely disappointed by how they were treated.
Television footage showed young men who did not appear to be wearing red jerseys jumping the gates of the stadium and running away from security to get into the match. A witness said that children were tear-gassed by riot police.
At the start of the meeting, Oudea-Castera said that they needed to take all the necessary steps to make sure this never happens again.
The images are sad, they are disturbing, because we can clearly see that we are not prepared for events such as the Olympic Games, said far- left leader Jean-Luc Melenchon on Sunday.
Eric Zemmour, a far-right politician, had said that the trouble was caused by local youths from the nearby Paris Saint Denis district.
Chris Philp said he was shocked by the images.
I was horrified to see the pictures of fans being pepper- sprayed by French police.
France is going to host the Rugby World Cup and the Olympic Games in a few years, and the chaotic scenes were branded a national embarrassment.
Billy Hogan said the club wanted a transparent investigation by the governing body. Nadine Dorries, Britain's minister for sport, called for the investigation.
According to Oudea-Castera, there were no problems with Madrid supporters at the match and that the Spanish side was better at controlling their fans.
She said that France had to examine stepping up security at high-risk football matches, with more trouble breaking out on Sunday after Saint-Etienne were demoted from France's Ligue 1.