Reilly, 28, is a former seventh-round pick of the Jets back in 2014. He spent just over two years in New York before he was waived with an injury designation coming out of the preseason and cut loose a few days later.
The Patriots elected to sign Reilly to their practice squad back in October.
In 2015, Reilly appeared in 15 games for the Jets and recorded 17 tackles, one sack and two forced fumbles.
Vigil, 25, signed on with the Dolphins as an undrafted free agent out of Utah State back in 2015 and was able to make the team’s 53-man roster coming out of the preseason. He was in the second-year of a three-year, $1.585 million contract that included a $10,000 signing bonus and was set to make a base salary of $525,000 this season.
Miami placed Vigil on their physically unable to perform list back in July and activated him from their non-football injury list last month.
In 2016, Vigil appeared in seven games for the Dolphins and recorded two total tackles.