He did not receive much recruiting attention, and only had a walk-on option at Stony Brook University.

However, after an invite to the Outback Steakhouse Empire Challenge, Bromley dominated the event, earning himself MVP honors.

[3] During his career at Syracuse, Bromley recorded 121 tackles, including 25.5 for loss, 14 sacks, and three forced fumbles.

After leading his team in tackles for loss (14.5) and sacks (10), as a senior, he was named a third-team All-Atlantic Coast Conference (ACC) selection.

Bromley was selected by the New York Giants in the third round (74th overall) of the 2014 NFL draft.