Born in Villepinte, Seine-Saint-Denis, Dramé began playing football at CSL Aulnay-sous-Bois before joining the centre of pre-training of Paris Saint-Germain F.C.

youth ranks, he was promoted to the first team in 2005 and played his first game in Ligue 1 on 11 September 2005 against RC Strasbourg.

In July 2007, after refusing the extension of his contract with Paris Saint-Germain in August 2007, Dramé signed a four-year deal at fellow first divisioner FC Sochaux-Montbéliard.

In 2009, he joined Birmingham City on trial,[4] and was keen on a switch to the English Premier League,[5] but did not earn himself a contract.

[8] With his contract due to expire at the end of the season, Sochaux offered him a new deal they failed to meet Drame's wage demands.