The Giants got their top choice in edge rusher Reese, who posted 6.5 sacks and 10 tackles for loss as a first-team All-American at Ohio State.
Rueben Bain fell to the Buccaneers at No. 15 overall in the NFL draft after teams reportedly had concerns about his arm length and driving history.
The Giants drafted Ohio State's Arvell Reese at No. 5 and Miami's Francis Mauigoa at No. 10, addressing the trenches under new head coach John Harbaugh.
Fernando Mendoza experienced the thrill of being taken No. 1 overall in the NFL Draft alongside his family from the comfort of his own home.