Police also responded to two reports of fights inside the AT&T Stadium but no arrests were made.
Police arrested six people during England’s 4-2 World Cup win over Croatia – including one for criminal trespass.
Arlington Police Department said officers also responded to two reports of fights inside the AT&T Stadium on Wednesday but neither incident resulted in an arrest.
Three people were arrested on suspicion of drugs offences, one on suspicion of public intoxication and another on suspicion of trademark counterfeiting involving goods valued at between 2,500 and 30,000 dollars (£1,889 and £22,679).
None of those arrested are British nationals, the force confirmed.
Police said stadium staff usually deal with “unruly” spectators before requesting assistance from officers, adding that security staff often resolve incidents without police intervention.
Drones were used to monitor crowds and some officers made their way around the stadium’s perimeter on Segways hours before kick off.
The arrest for criminal trespass came after eyewitnesses claimed scores of fans breached security and entered the venue without checks.
Fifa said it was unaware of any supporters entering the stadium without tickets.
Tailgating at football matches in the UK is now a criminal offence following thousands of ticketless fans storming Wembley ahead of the Euro 2020 final.
Lives were put at risk when supporters broke into Wembley Stadium, a subsequent review by Baroness Louise Casey found.
England fans were in a jubilant mood on Wednesday after the statement victory – with a brace from captain Harry Kane and goals from Jude Bellingham and Marcus Rashford sealing the win.
More than 14 million people tuned in to watch the game on ITV, with the match also securing the highest peak audience of the year, with some 15.4 million viewers, the broadcaster said.
Sir David Beckham hailed the “great performance” and praised the “togetherness” of Thomas Tuchel’s side.
In nearby Dallas, one pub which sold 5,000 beers to Three Lions supporters on the eve of the team’s World Cup opener was forced to close following what the venue described as “the mayhem that descended on us”.
Footage on social media showed the Londoner Pub again crowded with England supporters and the venue said its sales did not account for the “destruction of our property and landscaping”.
