Sekera recorded an assist in Sunday's 4-3 loss to the Red Wings.
Sekera penned a one-year, $1.5 million contract with the Stars on Monday, Elliotte Friedman of Sportsnet reports.
Sekera was placed on unconditional waivers with the purpose of being bought out Sunday.
Sekera will suit up against the Coyotes on Tuesday, his first game of the 2018-19 campaign.
Sekera (Achilles) was recalled from AHL Bakersfield and removed from LTIR, Daniel Nugent-Bowman of The Athletic reports.
Sekera (Achilles) will stay with AHL Bakersfield for another two games before rejoining the Oilers' roster, Jim Matheson of the Edmonton Journal reports.
Sekera (Achilles) will suit up for AHL Bakersfield on Wednesday as part of his conditioning assignment.
Sekera (Achilles) remains four weeks away from a potential conditioning assignment in the minors, Jason Gregor of OilersNation.com reports.
Sekera continues to work his way back from an Achilles injury and was a full participant in Thursday's practice, Jim Matheson of the Edmonton Journal reports.
Sekera will test out his Achilles injury with two weeks' worth of pre-game skates before his next meeting with a doctor, Jason Gregor of OilersNation.com reports.