Tanev logged an assist, four PIM and a plus-2 rating in Sunday's 5-3 win over the Sabres.
Tanev distributed a helper in Friday's 3-1 loss to the Capitals.
Tanev produced an assist, three blocked shots and four PIM in Tuesday's 4-0 win over the Bruins.
Tanev notched an assist and six blocked shots in Saturday's 4-3 overtime loss to the Bruins.
Tanev (ankle) signed a six-year, $27 million contract with Toronto on Monday.
Tanev's (ankle) negotiating rights were acquired by the Maple Leafs from the Stars on Saturday in exchange for Max Ellis and a 2026 seventh-round pick.
Tanev is recovering from a tendon injury, Mike Heika of the Stars' official site reports Friday.
While coach Peter DeBoer is optimistic that Tanev (lower body) will play versus Edmonton on Friday, Tanev will be a game-time decision, Tracey Myers of NHL.com reports.
Tanev (lower body) did not return to Wednesday's Game 4 after blocking a shot in the second period.
Tanev notched an assist, two shots on goal and five blocked shots in Saturday's 3-2 loss to the Blackhawks.