NFL Draft 2021: Why Giants don’t NEED to reach for an edge rusher in 1st round — they can wait until Day 2 Updated 7:15 AM; Today 7:15 AM Michigan defensive lineman Kwity Paye is an option for the New York Giants in the first round. (AP Photo/Carlos Osorio) Facebook Share They were outbid (by the Rams) and so turned their attention elsewhere. But the pursuit of Floyd makes one thing clear: The Giants understand that they have a need at edge rusher. When they struck out on Floyd, they turned around and signed Golladay and cornerback Adoree’ Jackson to big-money contracts rather than pursue another big-money pass-rusher in free agency.