According to ESPN's Adam Schefter, Rex Grossman will play for his third team in three years next season after signing a one-year deal for the league minimum with the Redskins on Wednesday.
The former Bears quarterback, who appeared in one game for Houston last season, will be reunited with Kyle Shanahan, Washington's offensive coordinator who filled the same role for the Texans last season.
Grossman played in only one game last season, completing three of nine passes for 33 yards with an interception.
The Redskins were also reportedly interested in signing Chris Simms to a backup role. Simms has been on the Bears radar in the past and could be again.
Bears general manager Jerry Angelo gambled by not signing a veteran backup for Jay Cutler last season and may opt to bring in a veteran like Simms rather than rely on the inexperienced Caleb Hanie and ex-Northwestern signal caller Brett Basanez, especially given what is at stake in 2010.
The Broncos cut Simms after acquiring former Notre Dame quarterback Brady Quinn from the Browns. Simms, 29, played in three games last season, including one start.