[1] In the 2018–19 season, Palve established a new career bests in the Liiga with 16 goals and 51 points in 53 games for TPS.
On 22 April 2019, Palve signed a one-year, entry-level contract with the Pittsburgh Penguins of the NHL.
[2] The deal will carry an NHL salary of $700K (the league minimum) as well as a maximum $92.5K signing bonus and games played incentives of up to $132.5K.
On 17 January 2020, Palve was traded mid-season by the Penguins to the Dallas Stars in exchange for John Nyberg.
With his lone season in North America complete due to the cancellation of the season with COVID-19, Palve opted to return to Europe in agreeing to a two-year contract with Swedish club, Linköping HC of the SHL, on 28 April 2020.