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.
Tanev (upper body) practiced fully Tuesday and is expected to be available for Wednesday's matchup with Edmonton, Lia Assimakopoulos of The Dallas Morning News reports.
Tanev (upper body) wasn't able to complete Saturday's 3-0 win over Seattle, Darren Brown of NHL.com reports.