Diaz, a 27-year-old native of Cuba, was an All-Star as a breakout rookie in 2016 but slumped throughout last season, batting .259 with seven homers in 79 games. He is primarily a shortstop but has also played second base, third base and left field.
Woodman, 23, was Toronto's second-round pick in the 2016 draft out of the University of Mississippi. He hit .240 with 7 homers and 4 steals in the Class A Midwest League this year. MLB.com rated him as the Blue Jays' 28th best prospect.