Ojeda, 36, played with the Cubs from 2000-2003 and is a career .234 hitter. He played the past four seasons with the Arizona Diamondbacks and batted .190 in 59 games last season.
Looper, 36, last pitched in the big leagues in 2009, going 14-7 with a 5.22 ERA in 34 starts with the Milwaukee Brewers. Looper saved 28 or more games in three straight seasons from 2003-05 and won 12 or more games in 30 or more starts from 2007-09.
Other invitees of note include outfielder Luis Montanez, the third pick in the 2000 draft by the Cubs. He left the Cubs after the 2006 season and joined the Baltimore Orioles organization, bouncing between the major and minor leagues. He batted .140 in 26 games with the Orioles last season.
The other invited players include pitchers Chris Carpenter, Angel Guzman, Jay Jackson, Trey McNutt and Todd Wellemeyer and Scott Rice; catchers Steve Clevenger and Chris Robinson; infielders Matt Camp, Bryan LaHair, Scott Moore, Bobby Scales, Marquez Smith and Josh Vitters; and outfielders Jim Adduci, Brett Jackson, Reed Johnson, and Brad Snyder.
Pitchers and catcher report to Mesa on Feb. 13 with the first workout on Feb. 14. Position players report to camp on Feb. 18, and the Cubs' first full workout will be Feb. 19.