Peters' first interview with the Giants took place on Monday.
Pelissero adds that Peters is among three finalists for the job opening. The other two are Buffalo Bills assistant general manager Joe Schoen and Kansas City Chiefs executive director of player personnel Ryan Poles.
Peters was among general manager John Lynch's first hirings upon Lynch joining the 49ers in 2017. He started as the VP of player personnel and was promoted to assistant general manager on February 19, 2021. Before that, he spent eight years with the Denver Broncos.
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