Four other men, including Joel Rodriguez Cruz, Oliver Moises Mirabal Acosta, Reynaldo Rodriguez Valenzuela and Polfirio Allende Deschamps Vazquez, were also arrested.
Mirabal Acosta was captured on Tuesday night in the town of Mao in the northern Dominican Republic.
Pennsylvania authorities have released a mug shot of Rivas-Clase that strongly resembles the suspect in an image provided by Dominican authorities, who provided the same name but without the hyphen listed in US court documents.
Among the suspects in custody was the alleged shooter, identified by authorities as Rolfy Ferreyra, aka Sandy, a skinny, tattooed 25-year-old who officials said had confessed to the shooting.
Ortiz was in stable enough condition to be flown back to Boston, where he underwent a second surgery.
Later Thursday, Dominican authorities brought in the five suspects from Wednesday along with a handful of additional suspects, including a woman. In a statement, his wife Tiffany said he will remain in the ICU for the coming days but "is making good progress towards recovery". "He's a fan of David's", the attorney, Deivi Solano, said Tuesday.
The former designated hitter and first baseman, who retired in 2016, was in the Dominican Republic for business and personal reasons.
Rivas Clase was charged with conspiracy to commit homicide, but it is unclear when or how he fled the state. Bail was set at $10,000, and records show bond was posted on November 29.
A seventh suspect, Luis Alfredo Riva Clases, remains at large and authorities have requested that he turn himself in.
Since Sunday's shooting, prosecutors say they've made big strides.
Gilbert was fatally shot by police in 2013, according to Dominican media.
"I am so disappointed to know that someone like David who saved so many lives can have someone after his life", he said.
"Prosecutors have said the two men on the motorcycle were seen on security camera footage talking with other people in a gray Hyundai Accent and in another Hyundai in a nearby street before the shooting at a popular Santo Domingo bar on Sunday night".