Career
Baumgartl had on 18 December 2013 his debut for VfB Stuttgart II in the 3. Liga against Borussia Dortmund II in a 2-1 home defeat. He played the full game as a centre back.
He made his Bundesliga debut for the first team of VfB Stuttgart on 8 November 2014 against Werder Bremen.
On 26 January 2015, Baumgartl extended his contract with VfB Stuttgart until June 2018. He renewed his contract again until June 2020 on 11 August 2015.