Tsalmpouris is 7 ft 2 in (2.18 m) tall,[2][3][4] weighs 240 pounds (110 kg), and plays at the power forward and center positions.

In the 2014–15 season, Tsalmpouris played college basketball in the Division I, for the Iowa State Cyclones team.

[8] In August 2015, Tsalmpouris signed a five-year contract with the Greek Basket League club AEK Athens.

He returned to AEK for the 2018–19 season, and with them he won the 2019 FIBA Intercontinental Cup, before going back to Kolossos, on a free transfer in the summer of 2019.

On August 22, 2021, Tsalmpouris moved to the Greek club Apollon Patras, where he enjoyed a very successful 2021–22 season campaign.