Giants S Cooper Taylor played with the first team at OTAs on Wednesday.
Giants GM Jerry Reese said S Cooper Taylor and S Nat Berhe will be given a shot to compete.
Giants second-year S Cooper Taylor will undergo foot surgery and may miss the season.
Giants S Cooper Taylor suffered a "significant" foot injury in New York's second preseason game.
Giants placed S/LB Cooper Taylor (hamstring, shoulder) on injured reserve, ending his season.
Giants agreed to terms with No. 152 overall pick S Cooper Taylor on a four-year, $2.34 million contract.
Both GM Jerry Reese and coach Tom Coughlin mentioned fifth-round pick Cooper Taylor as a candidate for the Giants' three-safety package in addition to playing special teams as a rookie.
Giants selected Richmond S Cooper Taylor with the No. 152 overall pick.