Lindberg inked a one-year contract with Swedish club IK Oskarshamn on Wednesday.
Lindberg -- who was acquired by the Golden Knights as part of the Mark Stone deal -- was not given a qualifying offer by the team, Jesse Granger of The Athletic reports.
The Penguins traded Lindberg and Stefan Elliott to the Senators in exchange for Ben Sexton and Macoy Erkamps on Wednesday.
Lindberg inked a one-year, two-way extension for $650,000 with the Penguins, Renaud Lavoie of TVA Sports reports.
Lindberg was acquired by the Penguins in a three-team trade with the Senators and Golden Knights on Friday.
Lindberg was acquired from the Maple Leafs -- along with a 2018 sixth-round pick -- in exchange for Calvin Pickard on Friday.
Lindberg, called up on an emergency basis earlier in the day, delivered an assist in his NHL debut Thursday against Buffalo.
Lindberg was recalled from AHL Toronto on an emergency basis Thursday.
Lindberg was traded by the Senators to the Leafs on Tuesday in a nine-player trade, with Dion Phaneuf among the players coming back.
Lindberg recently signed a three-year, entry-level contract with the Senators, the Ottawa Sun reports.