The team said Tuesday night in a brief statement that Malhotra's surgery, which took place in New York, was successful. The decision for Malhotra to have another operation was made after consultation with specialists and team doctors.
"Manny Malhotra's health continues to be the primary concern of the hockey club," the statement said. "Progress updates will be made available at the appropriate time."
No other updates on his condition were given.
Malhotra was struck in the face by a puck on March 16 in a game against the Colorado Avalanche.
Malhotra's brother-in-law, Steve Nash of the NBA's Phoenix Suns, tweeted about the surgery Monday, saying:
"I need my brother in law, Manny Malhotra of the Vancouver Canucks, to have a successful eye surgery tomorrow saving his eye and vision."
Nash has previously talked about the injury.
"That's scary," Nash said on March 21 at halftime of the Major League Soccer debut of the Vancouver Whitecaps, a team he partially owns. "I know he's a very tough guy and a great person but we're all just thinking about him and really worried and hoping he can come back, not only to play hockey but just get his vision back and be comfortable and live the life he deserves to live."
The Canucks announced on March 21 that Malhotra was out for the season. The loss comes as the Canucks, who have the best record in the NHL, gear up for a run at the franchise's first Stanley Cup championship.
Malhotra was signed to a three-year, $7.5 million free agent contract last summer to anchor the Canucks' third line. He was second in the NHL with a 61.7 winning percentage on faceoffs and a key to Vancouver's penalty killing improving from 18th in the league to second when he was hurt.
Information from The Associated Press was used in this report.