Tarasenko required reconstructive surgery to repair his left shoulder, and he'll be reevaluated in training camp come September.
Sundqvist potted one goal and added four helpers in 42 games this season.
Parayko compiled six goals and 35 points in 82 games during the 2017-18 season.
Barbashev finished the 2017-18 season with seven goals and six assists in 53 games.
Schmaltz dealt with a concussion at the end of the 2017-18 campaign, Lou Korac of NHL.com reports.
Tarasenko will require surgery to repair a dislocated shoulder suffered in Saturday's season finale, Jeremy Rutherford of The Athletic St. Louis reports.
Butler was reassigned to AHL San Antonio on Monday.
Pietrangelo dished out four hits and added a helper in Saturday's season finale against the Avalanche.
Dunn compiled five goals and 24 points -- nine on the power play -- in 75 games this season.
Tarasenko left Saturday's game against the Avalanche with an injury in the first period and did not return for the second period, Jim Rutherford of The Athletic reports.
Schmaltz (upper body) is listed as day-to-day ahead of Saturday's match against the Avalanche, Blues beat writer Lou Korac reports.
Schmaltz (upper body) didn't travel with the team and won't play Friday against the Blackhawks, Jim Thomas of the St. Louis Post-Dispatch reports.
Husso was brought up to the NHL level on Thursday.
Tarasenko scored a goal on five shots and added an assist in a 4-3 loss to the Blackhawks on Wednesday.
Husso was selected for the 2017-18 AHL All-Rookie Team.
Soshnikov (upper body) has been cleared medically, but won't return to the lineup against the Blackhawks on Wednesday, Jim Thomas of the St. Louis Post-Dispatch reports.
Schmaltz (upper body) will not be in action against the Blackhawks on Wednesday, Jim Thomas of the St. Louis Post-Dispatch reports.
Brodziak recorded two assists during Monday's 4-2 loss to Washington.
Schmaltz (upper body) won't play Monday against Washington, Lou Korac of NHL.com reports.
Reinke logged 13:05 of ice time and blocked two shots in his first NHL game Saturday against Arizona.
Schmaltz (upper body) won't play against Arizona on Saturday, Jeremy Rutherford of The Athletic St. Louis reports.
Butler was recalled from AHL San Antonio on Saturday.
Sundqvist notched an assist during 8:03 of ice time in Friday's game against the Golden Knights.
Hutton (neck) is projected to serve as the backup to Jake Allen against the Sharks on Tuesday, NHL.com reports.
Hutton (neck) has been cleared to play, but there's no sense of when it will happen, Jim Thomas of the St. Louis Post-Dispatch reports.