"We as for privacy as David works towards recovery".
Ortiz was then taken by ambulance, with a police escort, to Massachusetts General Hospital, where he will continue to receive medical attention. One of the men shot a single bullet into Ortiz as the patrons ran for cover.
Ortiz was shot at a club Sunday in Santo Domingo and underwent emergency surgery to fix damage done by the bullet to both his intestines and his liver.
The Red Sox offered "all available resources" to help him recover and sent an aircraft to bring him back to Boston. Salvador recalled asking him, to which Ortiz replied: "No, my brother, I've never wronged anyone".
Ortiz has been alert, has spoken to his family and "even flashed that smile", his media assistant, Leo Lopez, told ESPN.
Dozens of fans crowded the hospital in Santo Domingo where Ortiz was being treated, causing a traffic jam.
Eddy Vladimir Féliz Garcia was in police custody Tuesday morning after being pummeled by a crowd as he tried to escape the Sunday night shooting scene.
His father added: "Big Papi will be around for a long time".
Jhoel López, a TV host in the Dominican Republic, was speaking to Ortiz at the bar when the shooting broke out and was also injured, according to The Associated Press.
Another one of Ortiz's former Red Sox teammates, Hall of Fame pitcher Pedro Martinez, who also hails from the Dominican Republic, broke down in tears while talking about Ortiz on Monday night during a broadcast on the MLB Network.
"Our institution has no link to the incident", the police said in a statement. "Ortiz is now in intensive care, but considered stable".
Ortiz led the Red Sox to three World Series championships - including, in 2004, their first title in 86 years of futility. He was named World Series MVP in 2013, when he helped the Red Sox defeat the St. Louis Cardinals.
Ortiz began his major league career by playing six seasons for the Minnesota Twins (1997-2002), but his career blossomed after he joined the Red Sox.