Puljujarvi has recorded two goals on 13 shots this preseason.
Puljujarvi finished the 2017-18 campaign with 20 points in 65 games.
Puljujarvi collected two points in Edmonton's 7-3 blowout victory over Carolina on Tuesday.
Puljujarvi collected an assist in Sunday's 6-5 win over the Ducks.
Puljujarvi had the first three-point game of his NHL career Saturday against Vancouver, netting his ninth goal of the season and adding two assists in a commanding victory.
Puljujarvi registered a goal, and assist, and a plus-3 rating during Tuesday's 7-2 rout over the Blue Jackets.
Puljujarvi potted two goals in Saturday's win over the Flames.
Puljujarvi registered a goal and two shots during Wednesday's 6-2 victory over the Red Wings.
Puljujarvi recorded a goal and five shots during Saturday's 4-2 loss to the Rangers.
The Oilers recalled Puljujarvi from AHL Bakersfield on Friday.