After high school, Bramos played college basketball at Miami (Ohio) from 2005 to 2009. With the RedHawks, he was named to the All-Mid-American Conference Second Team in 2008, as a junior.[2] As a senior, he was named to the 2009 All-Mid-American Conference First Team, and he was also named the 2009 Mid-American Conference Player of the Year.[3][4] In his four seasons with Miami, Bramos appeared in 120 games, averaging 12.6 points, 3.7 rebounds, 1.6 assists, 1 steal, and 1.1 block per game.[5] As of May 2015, Bramos was Miami's sixth all-time leader in points scored, with 1,515, third all-time in blocked shots, with 130, and tenth all-time in steals, with 124.[6]
In 2012, he signed a 3-year contract with Greek EuroLeague-playing club, Panathinaikos,[11] with the first two years of the contract being guaranteed.[12] With Panathinaikos, he won both the Greek Cup and the Greek League in 2013 and 2014. Panathinaikos declined to pick up the team option on the last year of his contract, and he was released by the club on 12 June 2014.[13]
In August 2015, he was signed for the 2015–16 season by the Italian LBA side Umana Reyer Venezia, after the team had made sure he was fit to play again.[17] On June 28, 2016, he re-signed with Venezia for one more season.[18] In the 2016–17 season, he won the Italian League championship. On July 5, 2017, he signed a contract extension with Venezia, through the year 2019.[19] In 2019, Bramos became the team's captain.
On June 1, 2023, Bramos and Venezia released a joint statement announcing his retirement from professional basketball, after eight seasons together.[20]
Bramos' paternal grandfather was originally from Greece, coming from Kardamas, near Amaliada; he met some of his relatives when he played in Greece.[21]
