Delgado took on the stage name Cuban Link and associated with fellow rappers Big Pun, Triple Seis and Prospect in a group under the name Full-A-Clips.

After changing his stage name to Cuban Link, he met fellow Latino rapper Fat Joe in 1995, which helped the crew get discovered and made his commercial debut in 1997 on the song "Off the Books" by The Beatnuts.

After Fat Joe discovered Full-A-Clips, signed to Atlantic Records and launched Terror Squad Productions in 1997, he signed Big Pun, which led to the formation of the Bronx-based rap group Terror Squad, which consisted of Fat Joe, Big Pun, Cuban Link, Triple Seis, Prospect and Armageddon.

After signing to Atlantic and Terror Squad, Cuban Link continued recording for his debut LP 24K which he originally started working on in 1997.

He recorded songs with Pun, Angie Martinez, SunKiss, Ja Rule, Triple Seis, Kool G Rap and many other artists.

However, without Pun's mediation, personal tension between Fat Joe and Cuban Link, problems with Atlantic and bootlegging prevented the release of 24K.

In addition, Cuban guest appeared on Triple Seis' debut studio album Only Time'll Tell, which was released on July 20, 2004 through Madd Records.

In 2004, a few years after leaving Terror Squad, Cuban joined independent label Men of Business and released Chain Reaction on August 16, 2005.