Meriweather joined the Giants on Aug. 16, the same day rookie safety Mykkele Thompson was placed on injured reserve with a torn Achilles tendon. Meriweather started the season's first 11 games before missing the last two with a knee injury.
Meriweather had 53 tackles (38 solo), two interceptions and seven passes defensed this season.
He previously played with New England, Chicago and Washington.
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