Career
Sosa played high school basketball at Rice High School in New York City where he received all-American honors. His high school teammates include Curtis Kelly (Kansas State) and Kashif Pratt (Seton Hall). He played under the coaching of Maurice Hicks.
As a freshman at Louisville playing with Derrick Caracter, Earl Clark and Jerry Smith, the young group struggled early in the 2006-2007 season.
In the second round of the National Collegiate Athletic Association Tournament against Texas Agricultural and Mechanical, Édgar scored 31 points, 3 rebounds and 1 assistant He shot 15 for 17 from the line and 7 for 9 from the field
On January 4, 2009, Sosa hit a game winning 25 footer over Michael Porter, Kentucky"s point guard. That season, Sosa helped lead the Cardinals to the Elite Eight, where they lost to Michigan State.
In his four-year career at Louisville, Sosa played 140 games and averaged 9.7 points per game.
After going undrafted in the 2010 National Basketball Association draft, Sosa joined the Detroit Pistons for the 2010 National Basketball Association Summer League. He later signed with Italian Serie A team Angelico Biella for the 2010-2011 season. After sitting out the 2011-2012 season, Sosa joined the Sacramento Kings for the 2012 National Basketball Association Summer League, but failed to appear in a game for the team
In January 2013, Sosa had a two-game stint with Blancos de Rueda Valladolid.
He later played in Puerto Rico for Cangrejeros de Santurce and in his home country for Leones de Santo Domingo. On September 30, 2013, Sosa signed with ratiopharm Ulm of the German Basketball Bundesliga for the 2013-2014 season.
On July 7, 2014, Sosa signed with the Italian Euroleague team Dinamo Sassari for the 2014-2015 season. On September 25, 2015, Sosa signed with the Atlanta Hawks.
However, he was later waived by the Hawks on October 10 after appearing in one preseason game.
On October 19, 2015, Sosa sign a deal with the Iranian team Petrochimi Bandar Imam.