Eight players will make their All-Star Game debuts after being added to the rosters as replacements Sunday.
Montero replaces Philadelphia infielder Placido Polanco, who missed the past six games with a back injury.
"He's been battling a toe problem that's been exacerbated the last couple of days, so going into the break, we wanted to make sure he would not aggravate (it) any more by pitching on Tuesday," Rays manager Joe Maddon said. "We really haven't decided if he'll pitch Friday or Saturday.
Ogando was named to the AL team by Major League Baseball on Sunday as a replacement for Yankees left-hander CC Sabathia.
Sabathia had been the replacement for Tampa Bay's James Shields, but Sabathia and Shields both pitched on Sunday, and Ogando was next on the players' ballot.
Players who pitched Sunday can not pitch in the All-Star Game.
Correia replaces Phillies lefty Cole Hamels and Kimbrel got the nod in place of San Francisco's Matt Cain. Romero replaces Hernandez and Pineda will fill in for Tigers ace Justin Verlander on the American League team. Cain, Hamels, Verlander and Hernandez all pitched Sunday.
Boston's Jon Lester had been in line to replace Hernandez and became an All-Star on Sunday, but he will miss the game because of a strained back muscle that landed him on the disabled list.
Romero is 7-8 with a 3.09 ERA and has 101 strikeouts to 45 walks.
He learned of his selection after throwing a late-inning bullpen session and returning to the dugout in Cleveland.
"It's very exciting," Romero said. "I'm at a loss for words right now. My family's excited that I'm representing East Los Angeles (where he lives) and most importantly, the country of Canada."
Sandoval entered Sunday hitting .305 in just 49 games. He spent more than a month on the disabled list after he broke a bone in his right hand. The All-Star selection was validation for Sandoval, who lost nearly 40 pounds this offseason after he struggled with his weight and hitting in 2010.
"That was one of the goals we were talking about when I was working out," Sandoval said. "We talked about All-Star game and MVP."
Sandoval just missed out on the All-Star game in 2009 despite having a .333 average with 15 homers and 55 RBIs at the break. Philadelphia manager Charlie Manuel picked his own player, Shane Victorino, instead of Sandoval that year. With San Francisco manager Bruce Bochy making picks, Sandoval got his chance despite missing 40 games with an injured right wrist.
"It was a couple of years ago where he had the numbers to go and it didn't quite happen for him," Bochy said. "I couldn't feel better to tell someone they were going to the All-Star Game. ... I really wanted to get him on the club. With what hapepned, it just made sense. His numbers are deserving to be on the All-Star team."
Montero is batting .273 with 10 home runs and 45 RBIs in his sixth major league season. He will get to appear before his hometown fans at Chase Field.
"I felt like when I got called up (from the minors)," he said. "I wanted to cry, I was so excited. It's a great moment. It's going to (be) pretty special, especially because it's going to be at home."
Kimbrel leads the majors with 27 saves, breaking Jonathan Papelbon's major league record for saves by a rookie before the All-Star break.
Correia leads the surprising Pirates with 11 wins. He has a 4.01 ERA.
Pineda, the flame-throwing Mariners rookie, is 8-6 with a 3.03 ERA.
Ogando, a 27-year-old right-hander, moved from the bullpen into a starter's role this season, and has a 9-3 record with a 2.92 ERA.
This is also the first All-Star berth of Robertson's four-year major league career. The 26-year-old is 2-0 with a 1.27 ERA. He has 56 strikeouts in 35 1/3 innings pitched. Robertson's ERA ranks second among all major league pitchers with at least 35 innings pitched. He is first among all AL relievers in strikeouts.
"I was just going to go to Connecticut with the wife, maybe go fishing," Robertson said. "I'm just happy to go."
Information from ESPNNewYork.com's Mike Mazzeo, ESPNDallas.com's Randy Jennings and The Associated Press was used in this report.