Barzal notched two assists, including one on the power play, and three shots on goal in Monday's 3-1 win over the Blue Jackets.
Barzal registered a goal on three shots, an assist and a plus-2 rating in Saturday's 4-1 win over the Sharks.
Barzal scored a goal on two shots in Thursday's 5-3 loss to the Flyers.
Barzal scored an empty-net goal on five shots and went plus-2 in Saturday's 6-3 win over the Maple Leafs.
Barzal (upper body) was activated from long-term injured reserve Sunday, per the NHL media site.
Barzal (upper body) will be a game-time decision for Sunday's game against Chicago, Stefen Rosner of NHL.com reports.
Per Stefen Rosner of NHL.com, Barzal (upper body) is skating and considered day-to-day, but there is still no timetable for his return, coach Patrick Roy said Thursday.
Barzal (upper body) was placed on long-term injured reserve Saturday, per Andrew Gross of Newsday, and is expected to miss 4-6 weeks.
Barzal (upper body) was placed on injured reserve Saturday, according to the NHL media site.
The Islanders announced Friday that Barzal is dealing with an upper-body injury and has returned to Long Island to be evaluated by team doctors.