Terms of the deals weren’t disclosed.
Reynaud played in 48 games for the Minnesota Vikings (2008-09), New York Giants (2010), Tennessee Titans (2012-13) and the New York Jets (2013), returning 102 punts for 985 yards and two touchdowns and 104 kickoffs for 2,347 yards and a touchdown. Reynaud led the NFL in total return yardage (1,650 total; 1,240 on kick returns, and 410 on punts) and tied for the league lead in total return TDs (3) and punt return TDs (2)
Thompson, meanwhile, came into the league in 2012 as an undrafted free agent with the Atlanta Falcons. Thompson has spent time on the practice squads of the Falcons and the Redskins.
Rempel joined the Bears as an undrafted free agent after spending 10 years in the Canadian Football League.
Way spent each of the last two preseasons with the Chicago Bears, and apparently lost out in a competition with sixth-round pick Patrick O'Donnell for the starting punter’s job.