The veteran reliever Jason Grilli is the highest drafted player on the entire Blue Jays team having been drafted 04th overall by the San Francisco Giants in the 1997 amateur draft out of Seton Hall University. Grilli was previously drafted out of high school in 1994 by the New York Yankees in the 24th round, however, Grilli opted for college ball.
The Giants would ship Grilli and Nate Bump to the Florida Marlins in the summer of 1999 for Livan Hernandez. Grilli would make his MLB debut in 2000 with the Marlins making one start for the fish.