The Giants also got running back Gartrell Johnson off waivers from the San Diego Chargers. The team needed a back because Danny Ware is out at least two weeks after he dislocated his elbow on the opening kickoff Sunday.
Johnson was a fourth-round pick in the draft this year. In four seasons at Colorado State, he rushed for 2,814 yards and 24 touchdowns, gaining 1,514 yards and scoring 12 touchdowns as a senior.
A 10-year veteran, Reyes was signed on May 21. He started the first two preseason games at left guard with Rich Seubert was sidelined with a shoulder injury.
Douzable spent most of last season on the practice squad. He was signed to the active roster on Dec. 3 but was inactive for the final five games.
The Giants terminated the practice squad contracts of cornerback DeAndre Wright, running back Allen Patrick and tight end Kareem Brown. Wright was a sixth-round draft choice this year. They signed tight end Bear Pascoe and defensive back Michael Coe to the practice squad.
Pascoe of Fresno State was a sixth-round draft choice by the 49ers this year.
Coe was a fifth-round draft choice by the Indianapolis Colts in 2007. He played in six games that season as a reserve defensive back and special teamer. He spent the 2008 season on injured reserve after undergoing knee surgery.