Sosa attended Rice High School in New York City, where he received all-American honors.

As a freshman at Louisville playing with Derrick Caracter, Earl Clark and Jerry Smith, the young group struggled early in the 2006–07 season.

[1] On July 23, 2010, Sosa signed a one-year deal with Italian Serie A team Angelico Biella.

[4] However, after breaking his leg playing for the Dominican Republic at the 2011 FIBA Americas Championship in September,[5] he was ruled out for six months.

[15] On April 16, 2016, a day after winning the Iranian Super League title with Petrochimi, Sosa signed with Israeli team Hapoel Jerusalem for the rest of the season.

[17] On March 15, 2017, he parted ways with Juvecaserta after averaging 19.4 points, 2.8 rebounds and 5.9 assists per game in the Serie A.

On August 24, 2019, Sosa returned to Israel for a second stint, signing with Hapoel Gilboa Galil for the 2019–20 season.

[23] On January 12, 2020, Sosa recorded a season-high 38 points, while shooting 6-of-10 from three-point range, along with four rebounds and four assists in a 98–93 win over his former team Hapoel Jerusalem.