[citation needed] He played for Team Netherlands in the 2019 European Baseball Championship, at the Africa/Europe 2020 Olympic Qualification tournament, in Italy in September 2019.

Sulbaran was voted the best pitcher in the 2004 Latin American Youth Baseball Tournament while playing for the Netherlands Antilles.

Sulbaran made his professional debut in 2009 with the Single-A Dayton Dragons, starting 21 games and logging a 5–5 record and 5.24 ERA with 100 strikeouts in 92.0 innings pitched.

He returned to Dayton in 2010, starting another 15 games (with one relief appearance) and pitching to a 4–6 record and 4.99 ERA with 83 strikeouts in 79.1 innings of work.

[3] On July 31, 2012, Sulbaran was traded to the Kansas City Royals alongside Donnie Joseph in exchange for Jonathan Broxton.

Sulbaran began the 2013 season with Northwest Arkansas, and also spent time with the High-A Wilmington Blue Rocks during the year.

He split the 2015 season between Northwest Arkansas and the Triple-A Omaha Storm Chasers, making a combined 28 appearances (23 starts) and posting a 7–10 record and 5.24 ERA with 99 strikeouts in 132.1 innings pitched.

[9] Sulbaran missed the entire 2017 season after suffering a broken collarbone in a car crash shortly after the 2017 World Baseball Classic.

[13] On March 22, 2019, Sulbaran signed with DSS of the Honkbal Hoofdklasse to serve as a reinforcement while Nick Keur recovered from Tommy John surgery.

[20] He has played for Team Netherlands in the 2019 European Baseball Championship, at the Africa/Europe 2020 Olympic Qualification tournament in Italy in September 2019, and at the 2019 WBSC Premier12.