9:23 AM PT -- Law enforcement sources tell us ... Hope Solo was in the car with Stevens when he was pulled over for allegedly swerving on the road.
We're told Solo was "acting belligerent" in the car ... and pulled out her cell phone to record officers during the stop.
One source says "they were a major pain" ... and cops were thiiis close to arresting Solo for disorderly conduct.
We're told both Solo and Stevens were trying to play the dreaded, "Don't you know who we are?" card.
As for Stevens, we're told he refused to submit to a breath test -- so cops got a warrant to take him to a hospital to test his blood. Ultimately, cops were convinced he was wasted and arrested him for DUI.
The timing is interesting ... considering Solo was JUST let off the hook in a domestic violence case against her nephew and sister in which she was accused of going on a drunken violent tirade.
Former NFL tight end Jerramy Stevens -- who's married to USA soccer star Hope Solo -- was arrested for DUI in Los Angeles this week ... TMZ Sports has learned.
According to officials, the 35-year-old was popped for driving under the influence around 1:49 AM on Monday morning. Police say he was initially pulled over because his headlights were off.
Bail was set at $5,000.
According to his booking sheet, Stevens is listed at 6'7", 245 pounds.
This isn't Stevens' first arrest -- he was busted in 2012 for assault after allegedly getting violent with Solo ... though the case was eventually dropped for lack of evidence.
Stevens -- a former 1st round draft pick -- played in the NFL for 9 seasons ... and was part of Seattle's 2005 squad that lost in the Super Bowl to the Pittsburgh Steelers.