
Four people were arrested after a group of about 100 men attacked customers at a pub near the stadium.
The number of people wearing England hats and scarves is thought to be from Germany.
A group of people wearing masks entered the Green Man pub and began attacking fans.
Three people were taken to the hospital with serious injuries.
None of them are in a life threatening condition.
It has been reported the group were carrying weapons, including machetes and knuckle-dusters, but this has not been confirmed by police.
The group ran away when officers arrived.
According to the Met Police, a plan was in place to deal with any issues involving fans and no other reports of disorder had been made.
A group of approximately 100 males, many wearing masks, approached a pub in Dagmar Avenue, Wembley through an alley.
Some of the group were wearing England hats and scarves, but it is thought they were German fans.
Most of the people who were at the England vs Germany match were in the beer garden when the group entered. There were punches and projectiles thrown.
England came from two goals down to lead 3-2 before Germany came back to tie the game late in the game.
It was reported on Thursday that arrests and reported incidents of disorder at football matches in England and Wales were at their highest level in eight years.
"This isn't just in the UK, it's all over the world," Mark Roberts said. It's being seen across the continent by police and colleagues.