The visitors doubled their lead shortly after the start of the second half, when the impressive Gabriel rose highest to head home Willian's corner.
Dominic Dale, the world number 70, also reached Stage Two after topping his group with two wins and one draw.
Frank Lampard's expensively assembled Chelsea side also began the new season with three points, winning 3-1 away at Brighton & Hove Albion in the Monday evening kick-off.
Hoffenheim also started the Bundesliga season off with a victory after they overpowered Cologne 3-2 thank's to Kramaric's hattrick.
Hertha took the initiative from the kick-off whereas Bremen focused on their defence.
The ExCo also heard progress on its governance reforms approved by the Board in November 2019, which will see the Board appoint two additional independent ExCo members and discuss the ongoing development of a WADA Code of Ethics.
In Group D, Al-Nassr FC of Saudi Arabia continued their charge towards the round of 16 with a 2-0 win over Iran's Sepahan thanks to a brace from Abderazzaq Hamdallah.
The playmaker had his contract with Gremio rescinded on Monday after publicly falling out with president Romildo Bolzan amid the club's poor start to the season and his own indifferent form.
Earlier in the day, Zhaxi Yangben came first in the men's 50km race walk, with the winning mark of 3:52.19. Wang Rui finished second in 3:55.48, followed by Gong Fanglong in 3:59.01.
Keno doubled his personal tally with a low finish and then headed in his third goal by latching on to a Mariano cross.
Tractor will participate at the next year's AFC Champions League qualification as the champions of Iran's Hazfi Cup. Enditem