He competed at the2016 Summer Olympics as he was part of the Swedish team in themen's team event.[2] Mattias won two medals at the2016 European Table Tennis Championships. Paired withMatilda Ekholm he won a silver medal in mixed doubles,[7] and paired withKristian Karlsson he won a bronze medal in men's doubles.[8] He won the Swedish National team championship with Halmstad BTK 2018 same years as he was a part of the Swedish National team who won a bronze medal at WTTC 2018 which was played in Halmstad Arena (the same arena where Halmstad BTK won gold a month later).
In March, Falck was upset by Dimitrij Ovtcharov in the quarter-finals of the WTT Contender event at WTT Doha. He was upset in the round of 32 by An Jaehyun in the WTT Star Contender event.[12]
In June, Falck reached the semi-finals of the European Table Tennis Championships, where he was upset in the semi-finals by eventual championTimo Boll.[13]
Falck had a disappointing Olympics, losing in the round of 16 in the singles event toOmar Assar. In the team event, Sweden defeated USA in the first round 3–1, but Falck was upset Kanak Jha.[14] Sweden lost to Japan in the quarter-finals after Koki Niwa upset Falck in the fourth round. Niwa later stated that Falck's forehand was not in good condition.[15]
In August, Falck won WTT Contender title at Rio De Janeiro after defeating Sora Matsushima from Japan in 4-2 set score and winning the WTT title for the very first time.[17] In September Mattias Falck was playing in the Swedish National team that won the 2023 STUPA European Table Tennis Championships in Malmö.[18] That victory marked Sweden's first team title win in 21 years. The team also consisted ofTruls Moregardh,Kristian Karlsson andAnton Kallberg.Jorgen Persson was head coach.
Falck plays with short pips on his forehand. He has stated that his style benefited from the switch to the plastic ball and that he was surprised that more men with pips have not emerged since the ball switch.[19]