Binnington agreed to a two-year, $8.8 million contract with the Blues on Saturday.
Binnington filed for salary arbitration Friday.
Binnington was given a qualifying offer from the Blues on Tuesday, Jim Thomas of The St. Louis Post-Dispatch reports.
Binnington allowed only one goal on 33 shots in Wednesday's 4-1 win over the Bruins in Game 7.
Binnington will patrol the road crease for Wednesday's Game 7 against the Bruins, Benjamin Hochman of the St. Louis Post-Dispatch reports.
Binnington will draw the start against Boston in Sunday's Game 6 tilt, Tom Gulitti of NHL.com reports.
Binnington stopped 38 of 39 shots in Thursday's 2-1 win over the Bruins in Game 5.
Binnington will patrol the crease in Thursday's Game 5 against the Bruins in Boston, NHL.com's David Marcoux reports.
Binnington will patrol the home crease for Monday's Game 4 aginst the Bruins in St. Louis, Dan Rosen of NHL.com reports.
Binnington allowed five goals on 19 shots before being pulled from Saturday's 7-2 loss to the Bruins in Game 3.