Stralman will likely need to take a pay cut to re-sign with Tampa, reports Tampa Bay Times.
Rutta re-signed with the Lightning on a one-year, $1.3 million deal Friday.
Kucherov was announced as a finalist for the 2018-19 Hart Memorial Trophy on Sunday, Elliotte Friedman of Sportsnet reports.
Kucherov has been named a finalist for the Lindsay Award by the NHL Players Association, reports TSN.ca.
Hedman (undisclosed) was never able to return to action before the Lightning were defeated in the playoffs.
Stralman (lower body) was never able to return to the lineup before the Lightning were swept out of the playoffs.
Hedman was announced as a finalist for the 2018-19 Norris Trophy on Sunday, Elliotte Friedman of Sportsnet reports.
Vasilevskiy was announced as a finalist for the Vezina Trophy on Saturday.
Killorn won't require surgery to repair a minor tear in his right MCL, Joe Smith of The Athletic reports.
Vasilevskiy dealt with a minor lower-body injury during Tampa's abbreviated postseason, but he's tentatively expected to play in the World Championship, Joe Smith of The Athletic reports.
Kucherov is planning on representing Team Russia at the upcoming IIHF World Championships, Joe Smith of The Athletic reports.
Tampa Bay reassigned Gaunce to AHL Syracuse on Wednesday.
Miller delivered two assists and seven shots in four games in the 2018-19 postseason.
Sergachev scored a goal and added an assist in four playoff games against Columbus.
Erne was scratched for Game 4 on Tuesday night.
Paquette scored a goal in Tuesday's 7-3, Game 4 loss to the Blue Jackets.
Gourde scored one goal in four games against Columbus in Round 1.
Point scored a beautiful goal in Tuesday's 7-3 loss to the Blue Jackets.
Girardi finished 2018-19 playoffs with no points, four penalty minutes and a minus-2 rating in four games.
McDonagh finished minus-6 in four playoff games in Tampa's first-round loss to Columbus.
Johnson fired just four shots and finished with one assist in four games in Tampa's four-game, opening-round series loss to Columbus.
Rutta picked up an assist in Tuesday's 7-3 loss in Game 4 against the Blue Jackets.
Coburn dressed for two postseason games against Columbus and tallied one assist.
Joseph played in all four Tampa Bay playoff games against Columbus and finished with four shots and a minus-2 rating in limited ice time.
Callahan played two of the Lightning's first-round games against the Blue Jackets, finishing with four penalty minutes and four shots in limited ice time.