[2] He was then loaned to the Finnish SM-liiga to play with Jokerit in the 2011–12 season before returning to Sweden midway through the campaign to Skellefteå AIK.

During the Stars' first-round match-up against the Nashville Predators in the 2019 Stanley Cup playoffs, Klingberg scored the series-winning overtime goal in game six to advance.

[15] In the 2022–23 season, Klingberg was leant upon heavily for the rebuilding Ducks, and struggled to match his career scoring pace however still led the Anaheim blueline with eight goals and 24 points in 50 games approaching the NHL trade deadline.

On 3 March 2023, as an expiring contract, Klingberg was dealt by the Ducks to the Minnesota Wild in exchange for Andrej Šustr, the rights to prospect Nikita Nesterenko and a 2025 fourth-round draft pick.

[16] Leaving the Wild as a free agent, Klingberg joined his third club in short succession after he was signed to a one-year, $4.15 million contract by the Toronto Maple Leafs on 1 July 2023.

[18][19] General Manager Brad Treliving revealed that Klingberg had been injured during an early team road trip to Florida in October, and had been playing through the injury for the past month.

[20] On 7 December, Treliving revealed that Klingberg was to undergo hip surgery at the end of the month and would not play again for the rest of the season.