Nylander was waived by the Maple Leafs on Wednesday, Elliotte Friedman of Sportsnet reports.
Nylander secured a one-year, $775,000 contract with Toronto on Friday.
Nylander signed a one-year contract with the AHL Toronto Marlies, Lance Hornby of The Toronto Sun reports.
Nylander is not expected to get a qualifying offer from Columbus on Sunday, Elliotte Friedman of Sportsnet reports.
Nylander (lower body) is expected to be in the lineup Thursday versus the Panthers, Jeff Svoboda of the Blue Jackets' official site reports.
Nylander (lower body) is expected to be a game-time decision for Thursday's game versus the Panthers.
Nylander (undisclosed) won't play Tuesday against Tampa Bay, Jeff Svoboda of the Blue Jackets' official site reports.
Nylander (upper body) will return to the lineup Saturday against the Penguins, Jeff Svoboda of the Blue Jackets' official site reports.
Nylander (upper body) will not be available to play versus Pittsburgh on Thursday, Wes Crosby of NHL.com reports.
Nylander (upper body) won't play Tuesday versus Arizona, Brian Hedger of The Columbus Dispatch reports.