Urban Brawlers make for good fighters, but the sport is usually not about killing, so he might have troubles with changing his mindset.
In general, Urban Brawlers should all be sufficient in Pistols, Perception, have tactical knowledge for Close-Quarter-Combat or Urban Warfare and wear their appropriate armor. Coming from a good team, they should have TacNet-Software and the sensors and commlink to match. Melee skills are also worth alot, but a Heavy might let that slide as he only should get into fistfight range when he is ambushed. He should of course be decent in Automatics(Assault Rifle/Submachine Gun) or Longarms(Shotgun). If he had a position like team captain, he might be good in telling people what do to
If the character already had a longer career, he is most likely cybered, either because he was hurt or because he had some improvements. Combat drugs don't sound too unlikely as (illegal) means to improve his performance.
To put it in a list, here is Skills and Equipment in short
Skills
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Perception
Pistols
Automatics or Longarms
Dodge
eventually Leadership
Knowledge Skill "Urban Warfare" or something alike
Equipment
[ Spoiler ]
Pistol of choice
Main weapon of choice
Armor, eg. Bike Armor, Chainshirt, Armor Jacket, maybe combined with Securetech PPP System or FFBA
TacNet Software (along with commlink and sensors)
Any Cyberware that helps his playstyle or fits the background. Too many choices to list, but most combat effective 'ware will work
Of course, if he had to flee, you don't know what he managed to bring along. I'd even say that he can't have all he needs because you don't have all of this ready when leaving Europe to flee from authorities.